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algebra 1, algebra 2 and geometry algebra 1, prealgebra and SAT math algebra 1, algebra 2 and calculus
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Students
will understand mathematics and become mathematically confident by conununicating
and reasoning mathematically, by applying mathematics in real-world settings.
and by solving problems through the integrated study of nwnber systems,
geometry, algebra, data analysis, probability and trigonometry.
Benchmark
standards:
Content
standards
Mathematical
Reasoning: Students use mathematical reasoning to analyze mathematical
situations, make conjectures, gather evidence and construct an argument.
Modeling/Multiple
Representation: Students use ,mathematical modeling/multiple representation
to provide a means of presenting, interpreting, communicating, and
connecting mathematical information and relationships.
Measurement:
Students use measurements in both metric and English measure to provide
a major link between the abstractions of mathematics and the real
world in order to describe and compare objects and data.
Patterns/Functions:
Students use patterns and functions to develop mathematical power,
appreciate the true beauty of mathematics, and construct generalizations
that describe patterns simply and efficiently.
Students will find and be able to state and apply
the relationships involving a diameter drawn perpendicular to a chord.
Students will find and be able to state and apply
relationships between angles and arc measures: central angle, inscribed
angle, angles formed by: 2 chords intersecting in a circle, chord
and tangent intersecting at point of tangency, 2 secants intersecting
outside a circle, tangent and secant intersecting outside a circle,
2 tangents intersecting outside a circle.
Students will find and be able to state and apply
relationships among line segments, chords and arcs: congruent chords
intercept congruent arcs, congruent chords are equidistant from the
center, arcs between parallel chords are congruent, diameter is longest
chord in a circle, perpendicular bisectors of chords intersect at
the center.
Students will find and be able to state and apply
relationships involxing tangents: a tangent is perpendicular to a
radius drawn to point of tangency, tangent segments are congruent.
Performance measures
Students
will be required to keep a folder, which includes printouts of all
activities they complete and a summary list of the properties, relationships
and theorems they have verified.
The
attached rubric will be used to assess the sketches and the students'
proficiency wit GSP.
The enabling
activities include 2 days of assessment activities which will be graded.
Enabling
Activities:
Describe
each day's activity separately or holistically plan for ten days of work.
Include all parameters of the setting including grouping, space, time
and props. Include some critical directions and questions for the classroom
dialogue or attach a worksheet of activity directions.
These
activities are written for use in a setting with one computer for each
pair or group of students. Each activity is designed to be completed in
a 40-50 n-dnute class period.
Day 1:
Introduction to Geometer's Sketchpad - Have students work in pairs. Introduce
Geometer's Sketchpad (GSP). Distribute the Quick Reference Guide by Key
Curriculum Press
Have
students boot up GSP and guide them through the construction of congruent
line segments. This will enable the students become familiar with the
construction tools and the techniques of constructing a segment, defining
and selecting a point, constructing a circle by center + radius, and
hiding a figure. Why are the segments congruent?
Have
students measure each segment and use GSP to record the lengths. What
happens when you change the length of the segments?
Have
students draw a third segment and try to make it the same length as
the other segments by measuring. What happens when you change the
lengths of the segments now? What is the difference between constructing
and drawing?
Be
sure the students know how to LABEL. Have them use the TEXT tool to
create a caption for their sketch including the names of the students
in the group. SAVE and PRINT the sketch. If there is time introduce
GSP TABLES for collecting and organizing data.
Day 2:
Investigating theorems with GSP - Diameter Perpendicular to a Chord -
This lesson will guide students through the process of using GSP to formulate,
investigate and verify theorems through construction and measuring.
Construct
a circle with a diameter. Draw a chord. Measure and record the length
of the chord, the segments of the chord and the measure of the major
arcs and minor arcs and the angles formed by the chord and the diameter.
Drag the endpoints of the chord to find how the relationships change.
When are the chord segments congruent? What happens to the arc measures?
What happens to the angle measures?
Have
each group write their conjectures. Discuss the conjectures with the
class. How can we create a construction to test the conjectures?
Have
students start a new sketch constructing a circle and a chord. Construct
a diameter which is perpendicular to the chord. Measure the segments
of the chord. Measure the arcs. Move the chord and observe what happens.
How is it different from what happened before?
Create
a table and record at least 3 different measures for each segment
and arc. Discuss the findings with your partner. Write a statement
summarizing all the relationships found.
Day 3:
Constructing and Investigating chords in a circle - Students will construct
congruent chords and determine properties. Students will discover how
to use chords to find the center of a circle. Students will construct
parallel chords and verify conjectures about thenl Students will be able
to find the slope of a line segment.
Have
students start a new sketch and construct a circle and a chord. Construct
a congruent chord by choosing a third point on the circle then constructing
another circle with a center at the third point and a radius equal
to the length of the first chord. This circle will define a chord
congruent to the first. MDE the second circle.
Have
the students measure to verify that the chords are congruent. Drag
the circle to deten-nine what happens when one chords length changes.
Why must these chords be congruent?
Measure
the arcs of the chords. What do you expect about the arc measure?
Have
the students construct the perpendicular bisector of each chord. Where
do the perpendicular bisectors intersect?
Construct
another chord and its perpendicular bisector. Write a conjecture based
on this experiment.
Delete
all of the chords but one. Construct a chord parallel to the remaining
chord. Measure the arcs. Drag the chord to move it. What happens to
the relationship of the two chords? How can we be sure they remain
parallel? Show how to measure slope. What happens to the arc measures?
Write a conjecture.
Day 4
and 5: Discovering properties of tangents - Students WM create sketches
to determine that the tangent to a circle is perpendicular to the radius
at the point of tangency and investigate how to use this property in constructions.
Students will discover that tangent segments are congruent.
Have
the students starts a new sketch constructing a circle and a radius.
Construct a secant at the endpoint of the radius. Measure the angle
formed by the radius and the secant.
Drag
the secant until it becomes a tangent. What happens to the angle measure?
Construct
another radius in the same circle. Construct a line perpendicular
to the radius at its endpoint. What is this line? What conjectures
can you make? How can you use this property to construct a tangent
to any circle?
Drag
the tangent until the lines intersect. Measure the distance from the
point of intersection to the point of tangency. What conjecture can
you make?
Verify
your conjecture with a new sketch. Construct a circle and 2 tangents
which intersect. Measure the lengths of the tangent segments. Write
a caption which explains the relationships and print out your sketch.
How
can we construct a circle that is tangent to a given line? Start a
new sketch. Construct a line. Choose a point on the line and construct
a perpendicular fine.
Choose
a point on the perpendicular line as the center, and construct a circle
by point and radius.
Hide
the perpendicular line to only leave the circle and the tangent. Construct
another circle tangent to the same line. Define common tangent.
Define
externally tangent and internally tangent circles. Do constructions
to illustrate these terms.
Day 6: Assessment Activity
- Students will use the skills and properties they have learned to do
an original construct with GSP.
Use
GSP to construct a circle inscribe in a triangle. Students should
be able to drag the circle to change the radius and the figure will
remain inscribed. Circulate around the room to verify this through
observations.
Have
the students hand in the sketch with a list of the steps they followed
to do this construction.
BONUS:
Construct a circle inscribed in a square. Write a summary of the steps
followed to do this construction.
Day 7
and 8: Verifying theorems about angle measures and circle - Students will
create sketches to illustrate and confirm angle measure theorems
Review
the angles that are associated with circles: central inscribed, formed
by 2 chords intersecting inside a circle, formed by a chord and a
tangent intersecting at the point of tangency, formed by 2 secants,
a tangent and a secant or 2 tangents intersecting outside the circle.
Have
students use GSP to construct each type of angle and use angle measure,
arc measure to determine the relationships.
Have
students use a caption on each sketch to report their conclusions
about the relationships. Print the sketches.
Have
students create a list of formulas to summarize the angle measure
properties they have found.
Day 9:
Working with theorems about angles in a circle - Students will create
sketches to illustrate some angle measure corollaries.
Start
a new sketch. Construct a circle and a diameter. Choose a point on
the circle. Construct 2 chords connecting the point and the endpoints
of the diameter.
Measure
the angle formed by the chords. Drag the vertex point. What happens
to the angle measure? Write your observations and an explanation of
the property you discovered. Is this related to a property we already
discovered?
Discuss
the conclusions with the class and define a corollary.
Construct
a circle and inscribe a quadrilateral. Can you predict something about
the opposite angles? Measure the angles of the quadrilateral. Drag
the quadrilateral to change its shape. Does the relationship remain
the same? Write another corollary.
Day 10
: Formal Assessment Activity - This can be done as a non-computer exercise
with students working independently or in pairs.
Distribute
a sketch with a circle and multiple angles. Give some of the measures.
Using their summary sheets as a reference, have the students determine
the measures of all the arcs and angles shown. To document their work,
students should fill in a table identifing the arc or angle, stating
the measure and writing a reason or an explanation of how it was found.
Distribute
a sketch showing a diameter perpendicular to a chord. Have the students
write an explanation of the relationships and solve a number of algebra
problems based on the sketch.
Geometer's Sketchpad
Project
Sequential Math III - Circles
ATTEMPTED
ADEQUATE
PROFICIENT
OUTSTANDING
SKETCHES
Some sketches
created printed and handed in
Multiple sketches
created, printed and handed in
Sketches relate
to problems
Most labels
are present
Almost all
sketches created, printed and handed in
Sketches correctly
represent the problems
Construction
techniques are evident
Correct labels
are present in most cases
Captions present
All sketches
created, printed and handed in
Sketches correctly
represent the problem and show insight into properties and relationships
Construction
techniques are use correctly
All labeling
is correct
Captions are
correct and demonstrate logical thinking
USE OF GSP
Needs help
using GSP
Only familiar
with a few functions and commands
Can use GSP
independently
Aware of most
functions and commands
Comfortable
using GSP independently
Can use most
functions and commands
Displays facility
using GSP
Knows functions
and commands and can apply for problem solving
TIME MANAGEMENT
Sometimes
unprepared for class
Sometimes
off task during class time
Assignments
late
Unfinished
work
Prepared for
class with notebooks and supplies
Works throughout
the class period
Assignments
on time with supervision
Productive
use of class time
Assignments
on time with no reminders
Productive
use of class time
Evidence of
work or preparation outside class
Assignments
on time and complete
Sample
Project - Circles with GSP
If the diameter is drawn perpendicular to the chord, it
bisects the arcs
arc DF
53.558
65.856
31.740
90.421
arc CF
53.556
65.855
31.740
90.421
arc CD
107.113
131.711
63.479
179.158
major Arc CE
123.107
110.443
154.138
major Arc DE
123.107
110.443
154.138
major Arc CD
246.214
220.887
308.276
Conjecture:
The measure of a central angle is equal to the measure of its intercepted
arc.
Angle(DCE)
= 39.98 '
Angle(DCE)*2=79.97'
ArcAngle(D
to E) = 79.97'
Angle(DAE) 79.97'
Conjecture:
The measure of an inscribed angle is 1/2 the measure of its intercepted
arc.
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East Olympia PrecalPre-algebra covers the core basics of mathematics. Gaining facility at understanding how math 'works' is the goal. Once proficient, the concepts of algebra are introduced, with several examples and an effort to understand the vocabulary as well as processes involved.
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Calculus WIZ
- Become a calculus superpower with Calculus WIZ, an interactive tutorial that's simple, powerful, and easy to understand. (Requires Mathematica or Mathematica for Students)
Dogpark Software
- Makers of a variety of amateur radio software utilities, ideal for the HAM radio enthusiast.
Genetic Art
- A Macintosh drawing program created to teach children about the concepts behind both evolution and genetics.
Grade Machine
- Designed by Misty City, this grading program provides teachers a multi-functional grade spreadsheet. Features include e-mail merge to communicate with parents, and filters to create web pages.
Mathematica for Students
- Use it as easily as a calculator, but tackle computations only Mathematica can handle. (Wolfram Research)
Miss Lindquist the algebra tutor
- An intelligent tutoring agent that is actually able to tutor students to write algebraic expressions for story problems. This system is based on cognitive scientific research and is funded under a National Science Foundation grant.
Phillip Roy, Inc.
- Programs equip students with the knowledge and skills to set goals for themselves and make better life choices. Their educational materials are written for students of different learning abilities.
Sleek Software
- TAAS, FCAT, ISAT, and general state test-preparation tutorial and diagnostic software for first grade through high school. Math, Reading, Writing, Algebra, Biology, and Social Studies.
TI-Graph Link
- A Macintosh program, by Texas Instruments, that interacts with the TI-73, 83, 86, 89, and 92 models of their graphing calculators.
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Messen und Zählen. Eine Einfache Konstruktion der Reellen Zahlen
May 30, 2011 - 21:19 — Anonymous
Author(s):
W. Rautenberg
Publisher:
Heldermann
Year:
2007
ISBN:
978-3-88538-118-1
Price (tentative):
EUR 22
MSC main category:
00 General
Review:
The aim of this book is to provide a rigorous foundation of the real number system. The first step is a treatment of natural numbers and their properties, which are stated as axioms (only the last chapter outlines the possibility of a construction of natural numbers on a set-theoretical basis). The real numbers are then defined as infinite sequences of decimal digits. At this point, it is possible to introduce the ordering of real numbers and prove the supremum property. The operations of addition and multiplication are first defined for numbers with finite decimal expansion (by shifting the decimal point, the problem is reduced to addition or multiplication of natural numbers); by means of a limit process, they are extended to all real numbers. The book also discusses additional interesting topics, in particular the definition of powers with real exponents, exponential and logarithm functions, Egyptian fractions, computer implementation of arithmetic operations and the uniqueness of real numbers up to isomorphism. The text is elementary and contains numerous remarks on the history of the subject.
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Believe me, it's sometimes quite difficult to learn something by your own because of its difficulty just like calculate slope of a quadratic. It's sometimes better to request someone to explain the details rather than understanding the topic on your own. In that way, you can understand it very well because the topic can be explained clearly. Luckily, I found this new program that could help in understanding problems in algebra. It's a cheap quick hassle-free way of learning algebra lessons. Try using Algebrator and I assure you that you'll have no trouble solving algebra problems anymore. It displays all the pertinent solutions for a problem. You'll have a good time learning algebra because it's user-friendly. Give it a try.
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Algebrator is a great product and is definitely worth a try. You will find several interesting stuff there. I use it as reference software for my math problems and can swear that it has made learning math much more enjoyable.
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introductory book on optimization (mathematical programming) includes coverage on linear programming, nonlinear programming, integer programming and heuristic programming; as well as an emphasis on model building using Excel and Solver. The emphasis on model building (rather than algorithms) is one of the features that makes this book distinctive. Most books devote more space to algorithmic details than to formulation principles. These days, however, it is not necessary to know a great deal about algorithms in order to apply optimization tools, especially when relying on the spreadsheet as a solution platform. The emphasis on spreadsheets is another feature that makes this book distinctive. Few books devoted to optimization pay much attention to spreadsheet implementation of optimization principles, and most books that emphasize model building ignore spreadsheets entirely. Thus, someone looking for a spreadsheet-based treatment would otherwise need to use a book that was designed for some other purpose, like a survey of management science topics, rather than one devoted to optimization. The model building emphasis derives from an attempt to be realistic about what readers need most when learning about optimization. At an introductory level, the most practical and motivating theme is the wide applicability of optimization tools. To apply optimization effectively, readers needs more than a brief exposure to a series of numerical examples, which is the way that most mathematical programming books treat applications. With a systematic modeling emphasis, readers can begin to see the basic structures that appear in optimization models and as a result, develop an appreciation for potential applications well beyond the examples in the book. Formulating optimization models is both an art and a science, and this book pays attention to both. The art can be refined with practice, especially supervised practice, just the way a student would learn sculpture or painting. The science is reflected in the structure that organizes the topics in this book. For example, there are several distinct problem types that lend themselves to linear programming formulations, and it makes sense to study these types systematically. In that spirit, the book builds a library of templates against which new problems can be compared. Analogous structures are developed for the presentation of other topics as well.
Author Biography
Kenneth R. Baker, PHD, is Nathaniel Leverone Professor of Management at the Tuck School of Business and Adjunct Professor of Engineering at Dartmouth College. A Fellow of the Institute for Operations Research and the Management Sciences (INFORMS), Dr. Baker has published extensively in his areas of research interest, which include mathematical modeling, spreadsheet engineering, and scheduling. He is the coauthor of Principles of Sequencing and Scheduling and Management Science: The Art of Modeling with Spreadsheets, Third Edition, both published by Wiley.
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Hey Friends I really hope some math expert reads this. I am stuck on this assignment that I have to turn in in the coming couple of days and I can't seem to find a way to finish it. You see, my teacher has given us this test on convert radicals, converting fractions and relations and I just can't understand it. I am thinking of going to some private tutor to help me solve it. If someone can give me some suggestions, I will highly grateful.
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Algebrator really is a great piece of algebra software. I remember having problems with graphing lines, adding matrices and exponential equations. By typing in the problem from homework and merely clicking Solve would give step by step solution to the math problem. It has been of great help through several Basic Math, College Algebra and Algebra 2. I seriously recommend the program.
graphing lines, inverse matrices and x-intercept were a nightmare for me until I found Algebrator, which is really the best math program that I have ever come across. I have used it through several algebra classes – Intermediate algebra, College Algebra and Intermediate algebra. Just typing in the math problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my algebra homework would be ready. I truly recommend the program.
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Portion of Proceeds Benefits Big Brothers and Big Sisters of New England NO highlighting/underlining and is NOT a library book. Book will have visible wear to the cover and ...pages, but is still in overall good condition. If you find the book does not meet your expectations, please contact us for a full refund.Read moreShow Less
More About
This Textbook
Overview
Anticipates and addresses the questions and difficulties that students typicallyencounter when they study standard elementary techniques of solution of differential equations and the mathematical modeling of real-world situations. Features computer-generated artwork to illustrate geometric aspects of differential equations; revised discussion of numerical methods; simple BASIC programs; and over 1800 computational drill problems and diverse applications to help explain first order differential equations, linear equations of higher order, nonlinear differential equations and systems, fourier series and separation of variables, Eigenvalues and boundary value problems. and more. For sophomore/junior-level professors of differential equations.
Editorial Reviews
Booknews
First edition published in 1985. Textbook for undergraduate science, engineering, and mathematics students focuses on matters of definition, classification, and logical structure
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Professional Commentary: This 3-lesson unit is a step-by-step introduction to the Calculator Based Laboratory (CBL)2 and the graphing of linear functions. By modeling different walking situations captured by the CBL motion detector, students discover and interpret important connections between actions and the slope-intercept form of a linear function....
Professional Commentary: Students use graphing calculators to solve systems of linear equations in two ways. They first solve the systems by graphing the equations and finding the point of intersection....
Professional Commentary: Using graphing calculators and CBL microphone probes, students work in groups to gather data and plot a sinusoidal graph determined by the vibrations of a tuning fork. Working with the sine function equation, they find a curve of best fit....
Professional Commentary: Students use experimental data and the regression feature of the TI-83 graphing calculator to develop a model that predicts the time period of a pendulum swing or the length of the pendulum. After a review of linear regression on the TI-83, students input data from their conducted experiments into the TI-83, construct a scatter plot, perform...
Professional Commentary: In this 3-lesson unit, students analyze real-world data sets and determine appropriate linear, quadratic, or exponential functions to model the data. Step-by-step instructions for finding curves of best fit on the TI-83 Plus are given....
Professional Commentary: This 3-lesson unit is designed to make connections between properties of linear functions and cryptology. Students will code and decode using basic shift ciphering, arrow diagrams, tables, the coordinate plane, and graphs....
Professional Commentary: In this lesson, students explore the relationship of man and nature as portrayed in Stephen Crane's short story "The Open Boat." Alternating between the harrowing moments of waves crashing over the bow of the dinghy and the development of a certain kind of brotherhood in the face of overwhelming danger "The Open Boat" remains one of...
Professional Commentary: This lesson plan introduces students to the concept of allegory by using George Orwell's widely read novella, Animal Farm, an allegorical indictment of tyranny which uses the historical events of the Russian Revolution and the rise of Stalin as a cautionary tale. Through close reading, class discussion, worksheets, and graphic organizers, students also consider how this...
Professional Commentary: This three-lesson unit begins with Lesson One: "Understanding the Context of Modernism Poetry." Working in groups, students use videos, photographs, and various primary source documents to explore the individual's response to the social, cultural, technological, and historical changes that prompted the modernist movement. Lesson Two: "Thirteen Ways of Looking at a Blackbird" features "warm-up" exercises to...
Professional Commentary: This lesson plan serves as an introduction to American literary non-fiction writing and focuses primarily on teaching some basic approaches to recognizing rhetorical strategies adopted for persuasive effect in essays and non-fiction. Students explore various types of essays and read excerpts from the writings of Mark Twain and Frederick Douglass....
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This resource from the Kent Mathematics Project, published by Ward Lock Educational, was developed by a team of mathematics advisers and provided teachers with a wide range of resources for use with students of all abilities. The record keeping system which accompanied the project allowed detailed reports for individual student's…
This series of books from Nelson Thornes was developed for delivery of the three tier structure of GCSE Mathematics. There are two Students' Books in each tier, designed to cover a two-year course. Each chapter deals with related items from the GCSE syllabus. At the end of each book, there are then revision exercises for each…
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Geometry : Seeing, Doing, UnderstandingHarold Jacobs'sGeometrycreated a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decad... MOREes, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition. A thoroughly revised, full-colour text that is suitable for either classroom use or self-paced study. Geometry uses innovative discussions, anecdotes, examples, and exercises to capture and hold students' interest. Although predominantly proof-based, more discovery-based and informal material has been added to help develop geometric intuition.
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MTHS 635
Elements Of Probability
Fieldsteel,Adam
01/22/2007 - 05/05/2007
Monday 06:00 PM - 08:30 PM
Science Tower 139
In this introduction to the basic ideas of probability theory, our objective is to learn how to convert informal descriptions about probabilities into mathematical statements. We then learn to use these statements as a basis for calculation and deduction. The major themes are the passage from the discrete to the continuous, and the passage from randomness to order. These themes are exemplified by the theorems that describe the average or typical behavior of repeated random events. The main example is the fact that repeated independent events organize themselves (under suitable conditions) according to the normal and Poisson distributions.
We begin with a study of the basic formalism of probability theory: outcome spaces and distributions on them, conditional probabilities, and independence. We move on to the binomial distribution and talk about its relation to the normal and Poisson distributions. We discuss random variables and the associated concepts such as expected value and standard deviation, first in the case of discrete distributions, and then for continuous distributions.
Problem solving is an essential part of this course. There will be regular homework assignments that include both computational exercises and more conceptual problems.
Students are expected to be comfortable with mathematics at the level of typical high school curricula. In particular, the natural logarithm and exponential functions will play a central role. Some ideas from calculus will appear, but no prior experience with them will be required
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Math Classes quadratic functions which are used to model relationships that follow a parabolic curve. The lessons in this course cover the graphs of quadratic functions, methods for solving quadratic equations including the quadratic formula, and quadratic applications. 3 will include the Navajo Code, the scytale, and various transposition and substitution ciphers. This class is not a repeat of cryptology classes from 1st or 2nd and may be taken without prerequisites 3 include: Thales, Hypatia, Banneker, Euclid, and Lovelace. This class is not a repeat of Math Masterminds classes from 1st and 2nd quarter and may be taken without prerequisites. apply the properties of exponents to evaluate and simplify expressions involving powers. Students will also learn how to use exponents and scientific notation to model real-world occurrences. This is a 7-week class that will not meet on May 14.
7th-9th
12
0
12
$142.00
$127.80 before Feb 13
Reg. Opens Jan 23 8:00 am
4
1:00 pm
1:55 pm
Cracking Codes: Cryptology for Kids 4 the matrix ciphers and substitution ciphers. This class is not a repeat of cryptology classes from 1st, 2nd, or 3rd and may be taken without prerequisites. This is a 7-week class that will not meet on May 14 4 include: Heron, Babbage, Kovalevsky, Ramanujan, and Galois. This class is not a repeat of Math Masterminds classes from 1st, 2nd, or 3rd quarter and may be taken without prerequisites. This is a 7-week class that will not meet on May 14.
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9th Grade Math Help
The 9th grade math help deals with all the important topics for the 9th grade students.This is a representative list of topics covered in our Grade 9 Math help - however all programs will be customized for the individual student. The students get help with the various topics under various branches on mathematics. Ninth grade students also get support to solve their homework problems and prepare for their exams with Math help. Get help with all grade 9 math topics with Tutorvista.
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Mathematics Clubs
The Department hosts several math clubs, which philosophically are devoted to promoting mathematics to the campus community and beyond. They are involved in numerous activities; a typical year would include guest lectures from individuals in the workforce and from mathematics and other faculty; attending off-campus conferences, workshops, and meetings associated with mathematics; hosting picnics; fundraising for scholarships; tutoring; and more. The clubs often field an intramural team (softball, basketball, etc.), and occasionally organize trips to the ball park in Arlington.
The four clubs are:
Alpha Gamma Alpha
Pi Mu Epsilon (Honorary)
Council of Teachers of Mathematics (CTM)
The Mathematical Association of America (MAA) Student Chapter
Alpha Gamma Alpha
Alpha Gamma Alpha (AGA) is a local math club with no academic requirements for membership. AGA is a good way to meet classmates and teachers, socialize with friends, and listen to and participate in discussions of how mathematics is used in the world around us. Alpha Gamma Alpha meets once a month, in conjunction with the other math clubs, during the fall and spring terms.
Pi Mu Epsilon (Honorary Society)
Pi Mu Epsilon is an honorary fraternity of mathematicians, where in all members must meet the following academic requirements:
Option I:
1. Two years of college mathematics, including calculus.
2. 3.0 GPA on mathematical work.
3. Top one-third of class in general college work.
Option II:
1. Sophomore classification with three or more college mathematics courses, including one semester of calculus.
2. 4.0 GPA on mathematical work.
3. Top one-fourth of class in general college work.
Option III:
1. Graduate student whose mathematical work is at least equivalent to that required for undergraduates.
2. 3.0 GPA on mathematical work taken during the last school year prior to election to membership.
Pi Mu Epsilon meets once a month, in conjunction with the other math clubs, during the fall and spring terms. Membership in Pi Mu Epsilon automatically allows you membership in Alpha Gamma Alpha, the local math club which has no academic qualifications but shares the same goal of investigating mathematical concepts as Pi Mu Epsilon.
Dues: $6.00 per year ($3.00 per semester) and there is also a one-time initiation fee of $20.00 to join the national organization of Pi Mu Epsilon.
The Mathematical Association of America (MAA)
Everyone is welcome to join the Mathematical Association of America (MAA) and there are no academic requirements for the membership. The MAA is a national organization which is concerned with discussing and sharing mathematical ideas. The Mathematical Association of America meets monthly with the other math clubs on campus in order to exchange mathematical ideas.
Due: $26.00 per year ($20.00 per year for MAA and $6.00 per year for AGA)
Membership dues include a subscription to FOCUS newsletter and Math Horizons magazine. Members are also able to subscribe to one or more of three other magazines: The College Mathematics Journal, Mathematics Magazine, and The American Mathematical Monthly.
The National Council of Teachers of Mathematics (NCTM)
Everyone is welcome to join the National Council of Teachers of Mathematics. The NCTM is a national organization which is concerned with discussing and sharing mathematical ideas in education. The National Council of Teachers of Mathematics will meet monthly with the other math clubs on campus in order to exchange mathematical ideas.
Due: $10.00 per year
Membership dues include a subscription to at least one of the magazines for mathematics teachers, such as "Teaching Children Mathematics" or "Mathematics Teacher". Members are also able to subscribe to mathematics education-based magazines.
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Precalculus: Mathematics for Calculus
9780840068071
ISBN:
0840068077
Edition: 6 Pub Date: 2011 Publisher: Brooks Cole
Summary: Designed to give students a background in mathematics theory and introduce them to mathematics concepts this textbook is comprehensive without being daunting. Students are introduced to modelling and problem solving and they are given a rigorous workout on what they have learned as they work through the book. It has many graphs that chart mathematical ideas that students can assimilate with ease. It is written in a c...lear and readable style that will aid comprehension and enjoyment. This is just one of the many cheap math textbooks we have available for students to acquire in great condition.
Stewart, James is the author of Precalculus: Mathematics for Calculus, published 2011 under ISBN 9780840068071 and 0840068077. Eight hundred six Precalculus: Mathematics for Calculus textbooks are available for sale on ValoreBooks.com, one hundred ninety three used from the cheapest price of $72.80, or buy new starting at $197.75
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In Consumer Math there are 16 lessons to work through.
Each lesson consists of three parts: Teacher, Student/Teacher, and Student.
You will start with the Teacher part of a lesson, advance to the Student/Teacher
one, and finish with the Student part. Each part will increase your understanding
of the concepts and information presented.
This course is designed to give you experience solving
a wide variety of open-ended math problems that involve real-life situations.
For example, you will be asked to imagine that you are taking a trip to a
foreign country. While you are there, you will have to exchange your United
States dollars for a different kind of money and using this during your visit.
When you return home, you will have to exchange what money you have left for
U.S. money. Your assignment will be to figure out how much money you end up
with.
During another lesson, you will imagine you have bought
plane tickets for a vacation. Your tickets give the arrival and departure
times, but some of them are in Pacific Standard Time and some in Mountain
Time. You will have to figure out exactly how long you will spend in the
airplane.
There are a total of 10 lessons. Each lesson involves a
specific type of problem and is divided into three sections:
1. Teacher: This section is
designed to look like a regular classroom. The computer presents you with a
problem and then takes you through the steps to solve it.
2. Teacher/Student: In this
section, you are presented with a problem that looks similar to the one the
computer just showed you haw to solve. This time though, however, you are
going to have to do half of the work. The computer might give you hints, or
fill in some of the steps, but a lot of the work will be yours.
3. Student: Now it is your turn
to show what you can do. You will be presented with a problem that looks like
the other two. It will be your job to solve it. If you need help, you can go
back a see how the computer solved a similar problem or how you helped the
computer solve a problem like this. When you are finished you will email (or
regular mail, or fax) your solution to the human teacher for feedback, and go
on to the next lesson
Because of the dynamic nature of this course, minimum academic skills are
needed to complete the course. Lessons are tailored to the individual
student's mathematical abilities. Each of lesson will appear
in three sections. The big difference will be in how much help you will
get form the computer. In the Teacher section the computer will do most of the
work. In the middle section you will split the work with the computer.
Finally, in the Student section, you will do almost all of the problem solving
yourself. The only material required to take this course is access to and
familiarity with a computer that is connected to the Internet.
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LGL Algebra Edge for Parents
LGL Algebra Edge is a powerful web-based learning system, designed to give secondary students the extra edge they need for success in Algebra I. Combining powerful online Algebra I assessment with supplemental Algebra instruction, LGL Algebra Edge offers up to 60 levels of instruction in crucial Algebra I lessons, including basics, linear functions, systems, polynomials, and quadratics.
Let's Go Learn's Diagnostic Online Math Assessment: Algebra serves as the foundation for LGL Algebra Edge. DOMA: Algebra diagnostically assesses students across 11 different areas of algebra knowledge that teachers consider essential for the successful completion of Algebra I, adapting to students as they respond to each question in the online program. Immediately after the assessment, students who qualify for instruction are automatically transitioned into powerful online algebra lessons, addressing only the skills that each student requires.
DOMA: Algebra assesses students online the way a math specialist would.
Featuring a scoring system designed to encourage intrinsic motivation in students, LGL Algebra Edge rewards students frequently with positive feedback as they move ahead. Parents can monitor their student's progress, and repeat assessments to clearly show advances in learning.
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This course will offer a review of basic math concepts, processes and skills. Classroom instruction will be enriched with a multitude of hands-on experiences, games and strategies in a fun-filled environment designed to strengthen mathematical knowledge and expand mathematical competency.
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An Algebra Subsystem for Diagnosing Students' Input in a Physics Tutoring System To help a student in an introductory physics course do quantitative homework problems, an intelligent tutoring system must determine information of an algebraic nature. This paper describes a subsystem which resolves such questions for Andes2. The capabilities of the subsystem would be useful for any ITS which deals with problems involving complex systems of equations. This subsystem is capable of 1) solving the systems of equations at the level of introductory physics problems, 2) checking the Author(s): Shapiro Joel A.
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Algebra For the Real World Students will solve real world and mathematical problem situations using simple algebraic concepts including variables and open sentences. Author(s): No creator set
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Related contentJack Miles: America, Islam and the 'ground zero mosque', at ANU Professor Jack Miles of the University of California at Irvine gives this lecture entitled 'America, Islam and the 'ground zero mosque'' at The Australian National University on 9 September 2010.
Plans to build an Islamic centre near the site of the 9/11 bombing have become a flashpoint for debate over the nature of America's relations with Islam. Eminent American religion scholar and journalist Professor Jack Miles argues that the conservative critics of the "ground zero mosque" are Osama bin Author(s): No creator set
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Cool Cosmos invites students to learn about infrared light and step into the world of infrared astronomy. Teachers and students may discover light outside the visible spectrum with these classroom activities, experiments, and lessons. The site provides FAQs, ask-an-astronomer videos, an infrared astronomy timeline, and moreeMarketing: the essential guide to online marketing According to these authors, currently available online marketing textbooks are largely inadequate and outdated and lack the technical know-how and practical background that would make them applicable to students, educators and practitioners in the corporate sector. Quirk offers a dynamic and integrated learning experience that will ensure that students, educators and companies using the guide to eMarketing, will be in the know regarding the latest trends and best practices in this exciting spher Author(s): No creator set
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Shrimp Boats in Inter-coastal Canal, Southport, Alabama This image is a color photograph showing shrimp boats in Southport, Alabama. Postcard text: (back) Shrimp boats at anchor in the inter-coastal canal at Southport, Alabama. This canal is part of the inter-coastal waterway that runs from the Texas Gulf Coast to the Eastern SeaboardNew Features: Recompose Tool Discover the powerful new Recompose tool, which allows you to rearrange parts of an image without affecting the important subjects in the image. Author(s): No creator set
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GeoGebra for Beginners Thursday 15th December 2011 9:45am – 3pm ... There is definitely a use for many of the worksheets created today in my lessons and those of my department. Excellent facilities, room, food, pace... everything.
Using Geogebra for Online College Algebra & Trigonometry Courses 2 Geogebra is a free dynamic mathematics software and online program that many teachers ... Applying the use of Geogebra to create mathematics applets in these lessons opened my
lessons with GeoGebra improved not only teachers' mathematical content knowledge but also their abilities to develop effective lessons for their students in various content areas of secondary mathematics. As a result of this experience, we hope that, in the
The GeoGebralessons in the laboratory guide focus on promoting the understand-ing of concepts and procedures. Figures 1 and 2 provide an example of a student ac-tivity sheet and accompanying GeoGebra sketch from the
Geogebra Workshop Workshop run by Priscilla Allan To structure our learning, and to make learning visible, I have an "I can do" Checklist for you
with GeoGebra Julie-Ann Edwards and Keith Jones review how geometry and algebra can be linked using a new free software package, ... a few resources for use in lessons and think it has great potential to be used in this environment. It supports the idea of pupils discovering certain
integrated GeoGebra to consolidate the derivative using the visual idea of zooming ... a topic and plan lessons collaboratively, subsequently observe these unfolding lessons in actual classrooms, and finally discuss their observations ...
Geogebra, a useful tool for achieving school progress Adriana Bînzar ... These lessons in Geogebra have raised the interest of many students as evidenced by their active participation in the lessons, the highest scores obtained, their ...
This lesson plan is one of three lessons which will implement the use of ICT for drawing and analysing linear graphs. They will also expand upon their ... Geogebra Worksheet 1. Determine which of the following rules will yield a linear graph. Of those
lessons". Using GeoGebra as described in 3 and 4 above seems to offer an opportunity for students to discover some mathematics outside of the classroom. With AS Mathematics particularly tight to fit into the allocated number of lessons this seemed advantageous and at times
lessons with GeoGebra Reflections and group discussions on open lessons with GeoGebra 11:30 - 12:15 Lunch 12:15 - 13:45 Workshop Talk and workshop Talk Learn how to use GeoGebra's programming features to create self-correcting exercises. Troels ...
experience in designing lessons plans with GeoGebra, and this experience positively influenced prospective teachers' perspectives about the use of technology in the teaching and learning of mathematics.
First participants learned basic commands about GeoGebra. During lessons pre service teachers of mathematics used dynamic worksheets. Data were collected by participants' works and opinions on dynamic mathematics software.
GeoGebra, lessons becoming more attractive for the audience. Also it should be mentioned that such lessons allow the presentation and explanation of a larger number of particular cases. By this article the authors intend to point out the importance of implementing GeoGebra in ...
range of materials that could be useful to teachers in preparing GeoGebralessons. There are two GeoGebra institutes in Serbia and they offer different activities in order to increase GeoGebra use in classrooms". A teacher from seminar in Novi Sad:
Differentiation in three easy, GeoGebra-style, lessons ….MSOR Connections May 2009 Vol 9 No 2 Author: Chris Little Subject: Why is calculus difficult? It required a conjunction of geometric and algebraic thinking to invent or discover its concepts.
Integrating GeoGebra into IWB-equipped teaching environments: preliminary results ... lessons by participating teachers are currently being video-recorded and further interviews are to be conducted with teachers and students to better understand the
GeoGebra, "who is dynamic mathematics software for all levels of education that joins arithmetic, geometry, algebra and calculus. ... avoided, such as: the students low interest and the very theoretical character of the lessons. References
Norwegian GeoGebra Institute, Norwegian University of Science and Technology, Trondheim ... integrating ICT in the math lessons. This is also the reason why GeoGebra has been chosen as a "standard program" for the three big textbook companies in Norway.
lessons. It's a great pity. But in facts, we do not need to omit the question of volume ratios! ... Then we shall validate the estimates with GeoGebra, and make ourselves a GeoGebra environment useful for better grasping and training the volume ratio
GeoGebralessons. The analysis of the data revealed that focusing on the mathematical concept more than technology and using technology when it is really necessary were the basic criteria for effective technology based lesson. PSTs ...
Geogebra, a Tool for Mediating Knowledge in the Teaching and Learning of Transformation of Functions in Mathematics by RAZACK SHERIFF UDDIN ... algebra lessons with the DGS and thus, they were stimulated to participate in the lesson. They
Understanding Using GeoGebra Lingguo Bu and Robert Schoen (Eds.) MODELING AND SIMULATIONS FOR LEARNING AND INSTRUCTION SensePublishers MOSI 6 Model-Centered Learning Pathways to Mathematical ... including lessons, examples, and activities that can
Integrating technology into Math lessons is a complex issue that has to be addressed from a holistic viewpoint that takes into account different interrelated components. In ... GeoGebra software is lower than the motivation for the use of technology.
core math standards and ways to incorporate them into the math lessons. Also, trade books that tie to common core standards and fun ways to use them in you classroom. K-2 ... GeoGebra is a free, web-based software that does dynamic geometry and graphing.
organize the work during lessons but also the use of GeoGebra together with other modern instructional equipments, e.g. other computer programs, SmartBoards, course management systems etc. The Institute will publish information and news of its work as well as GeoGebra worksheets in
Effect of Students' Achievement in Fractions using GeoGebra Noorbaizura Thambi University of Malaya [email protected] Leong Kwan Eu University of Malaya [email protected] ... Mathematics is one of the subjects that is suitable to integrate technology during lessons. This
In GeoGebra, the length of a line segment (marked "linear" in Figure 6) between Dayton and ... the students were consistently presented with lessons in a pure academic manner. The focus of our classes was shifted more towards the practical use of
All lessons are discussed in the context of a real world application. VIII. REFERENCE/RESOURCE MATERIALS: Graphing calculators will be required. Student Exploration Worksheets and Exit Slip Assessments will be needed for all three lessons. Computers to access GeoGebra would
Your GeoGebra Unit circle shows the sine and cosine values on the left. There is a dotted line that completes the right triangle made from the angle theta and the point it terminates on the circle. Find the dotted line and notice how the triangle changes
Especially we chose GeoGebra for our research tool, because it is easy-to-use software and has the same grammar of command with school mathematics. ... The lessons were held in a computer lab located in researcher's school. Video Capture
Constructing a Steiner Tree Using GeoGebra The following is a script of the construction of a Steiner Point and Steiner Tree using GeoGebra. The flash files on the website will give you the instructions and demonstrate where the items are found in Geogebra.
through GeoGebra. All GeoGebralessons are integrated in eXe also. The response of students in learning geometry using this tool was incredible. The phobia for 5. doing geometry questions is no more there. It also helped in developing interest in the subject. Through ...
INSTRUMENTAL GENESIS IN GEOGEBRA BASED BOARD GAME DESIGN Morten Misfeldt Aalborg University In this paper I address the use of digital tools (GeoGebra) in open ended design ... Both classes' spend 10 lessons working with the scenario.
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Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
Book Description:Brooks/Cole, CA, 2005. Book Condition: New. Language: english. Emphasises concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. Bookseller Inventory # 6963308
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The Construction Master Pro Workbook and
Study Guide is an easy-to-use course that will help you learn
common construction-math principals, building techniques and acquire
the skills to utilize the Construction
Master Pro advanced Feet-Inch-Fraction calculator – accelerating
your productivity on the job and in the classroom.
You will quickly solve routine construction
problems or undertake complex design and estimating challenges. The
Workbook topics are modular for on-going reference and are developed
with flexibility to work in conjunction with the construction jobsite
from entry level to advanced studies.
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Course Description
Description
This course covers a full-year honors curriculum and prepares students for success in Honors Algebra II, Honors Geometry, and other CTYOnline courses. The course begins with a brief review of pre-algebra. Students can proceed quickly through familiar material and take additional time on more difficult concepts.
Each section of the course has one or more video lessons (provided by Thinkwell), sample exercises, practice exercises, online tests, offline paper-based exams, an instructor, and access to a virtual classroom to meet with the instructor. Each student will be assigned an experienced math instructor who will:
Provide one-on-one support.
Solve student's doubts via e-mail or by appointment on the instructor's virtual classroom.
Keep constant communication with the student, at least once per week.
Provide feedback on the student's performance in the course.
Students will also have access to a postponement service that can be used to pause the course for 7 days or longer. This service can only be requested by a parent/guardian and is very useful to use during busy school weeks, vacation, or other events that will not allow the student to access and advance in the course.
Materials Needed
A graphing calculator may be used to check work on practice exercises, but not for graded assessments.
List of Topics
Upon successful completion of the course, students will be able to demonstrate mastery over the following topics:
System Requirements
This course requires a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer) with the Adobe Flash plugin. Note that many tablets or handhelds (particularly the iPad) do not support Flash and cannot view the lessons.
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Algebra - Wikipedia, the free encyclopedia
Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. For historical reasons, the word "algebra" has several related ...
School board approves program to boost Algebra I Keystone Exam scores Chambersburg Public Opinion CHAMBERSBURG >> Chambersburg Area school board voted 7-2 to approve a $42,000 intervention program meant to boost high school students' Algebra I Keystone Exam scores by giving 15 teachers additional support in power teaching, an instructional ...
Volunteers teaching algebra through computer coding Boston Globe A software engineer at Trip Advisor, Bill Stitson finds himself every Tuesday at the McCormack Middle School in Dorchester helping sixth-graders learn algebra by making video games. No, it's not a pushover class. Stitson is among a number of tech ...
Pilot Algebra Class in Edgartown Forges New Path in Learning Martha's Vineyard Gazette While still in middle school, they are learning the equivalent of an algebra I course at the high school level, and forging a new path for mathematics learning for students in middle school and beyond. By the end of the year, they'll be fluent in ...
Some Texas Students Will Take Algebra 2 National Journal The Texas State Board of Education recommended last week that Texas high school students pursuing an honors plan or a science- and math-heavy diploma should take two years of algebra to graduate, the Texas Tribune reports. The preliminary ...
UF website, app help ninth-graders conquer Algebra 1 Tbo.com TAMPA – When Samantha Baker was preparing for the Algebra 1 end-of-course exam as a Coleman Middle School seventh-grader two years ago, she went over notes she took in class and worked through a study guide provided by the teacher. But having ...
East Texas educators welcome algebra II option Longview News-Journal Thomas Ratliff, who represents Northeast Texas on the state panel, said the high tech-driven Austin business community opposed making algebra II optional, while its more blue collar sister chamber from San Antonio pushed the measure. Ratliff said one ... and more »
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Part IV: 3-D Mathematics
Part IV: 3-D Mathematics
You've already done most of the work to enable you to move from two to three dimensions. The concepts of vectors, forces, energy, and momentum are the same in three dimensions as in two, and collision detection, while more complex, involves all the same techniques as before. In this fourth part of the book, you'll finish your exploration of mathematical and physical theory by taking this final step into 3-D.
You'll start by looking at the basics of 3-D space, and how it can be represented on a two-dimensional screen. Then you'll spend another chapter further extending the vector work you have done up to now, and I'll introduce the concept of a transform. Chapter 18 deals with collision detection for 3-D shapes, Chapter 19 looks at lighting and shading, and the final chapter covers various 3-D modeling techniques for creating complex objects and moving surfaces, such as waves on water.
3-D is a subject much more widely covered than the more general techniques in this book, and so you won't retread the ground of many other authors. Most of the topics are dealt with briefly. For a full mathematical treatment, along with much more information on the more obscure topics, it is helpful to consult the references given in the appendices of the book.
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Hi, I am a freshman in high school and I am having trouble with my homework. One of my problems is dealing with ks3 sats maths powerpoints; can anyone help me understand what it is all about? I need to complete this asap. Thanks for helping.
I possibly could help you if you can be more specific and provide details about ks3 sats maths powerpoints. A proper software would be best option rather than a costly math tutor. After trying a number of program I found the Algebrator to be the best I have so far come across. It solves any algebra problem from your book . It also shows all the steps (of the solution). You can just reproduce as your homework . However, you should use it to learn math , and simply not use it to copy answers.
I must agree that Algebrator is a great thing and the best program of this kind you can find. I was thrilled when after weeks of anger I simply typed in rational equations and that was the end of my difficulties with algebra . It's also great that you can use the software for any level: I have been using it for several years now, I used it in Algebra 1 and in Algebra 2 also ! Just try it and see it for yourself!
Oh . I did not realize that there could be a solution for me. May be I should try this out . I am already comforted to know that the solution to my problems is at hand. I am ready to try this out. Can you let me know where I can access this program?
function range, function composition and long division were a nightmare for me until I found Algebrator, which is really the best math program that I have come across. I have used it frequently through many algebra classes – Remedial Algebra, Basic Math and Pre Algebra. Simply typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my algebra homework would be ready. I really recommend the program.
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Graphing Calculators
Graphing Calculators help students plot graphs, solve equations, and perform numerous other tasks with variables. Research supports the use of graphing calculators to help students develop strategies for problem solving and a deeper appreciation of mathematics. Research from NAEP has shown that at the 8th grade level frequent use of graphing calculators is associated with greater mathematics achievement. These calculators are easily programmed by the user.
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801 1/2 Day Math Review (2:00 - 6:00pm)
This four-hour review of math concepts and applications is intended for those desiring either to introduce or reacquaint themselves with essentials skills required for certification exams. The class will start at ground level and quickly proceed to the level at which students must be proficient to work problems representative of the degree of difficulty expected on the exams. The following areas will be covered during the seminar: calculator operation; conversions (simple and extended); algebraic equations manipulation (moving equations around to isolate an unknown) including solving simultaneous and quadratic equations and word problems; and trigonometry (solving right triangles for unknown sides and angles).
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83,"ASIN":"0199149364","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":24.83,"ASIN":"0199149879","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":15.41,"ASIN":"0199149380","isPreorder":0}],"shippingId":"0199149364::aU6M3Tmb55Sl8n0zkrvpFRE9cU3nPy4gAM70AMCDyBee1g%2B6YqNBKEpLun7hbD8r2ije3x8l3QnTzSVTD%2BJxh9A9Lh7QYcQh,0199149879::wIpy4LuiFkIFV96QniWyZRSJCwPAkTODPbzZFA9Xkw7sbPC5aITy0RtiSexTfSg3TK%2B%2BAAi9MuyxHe8Cp8gOLhSLtK2iHpAj,0199149380::YAZWdz7BfbeitRL1oNI4OVnwe7ogJ6Gr5imwa0RQKvIvIBgccveCCOBztIS%2BigzbABPXeAal0IMR1%2BoNoo5KlIDjzYxtCF learnt A-level Maths at home in my own time and followed the AQA sylabus. This book shows you everything you need to know to pass the exams MPC1 and MPC2 and nothing more. It's got good examples with normal and challenging questions.
It has revision excercises at the end of each section which are past exam questions.
Just don't use this book as your only resource if you're teaching yourself. The internet is brilliant and there's videos on there to help you.
The vast majority of A level Maths resources out there are tailored for Edexcel or for OCR, and AQA specific textbooks are very hard to come by - so this textbook was a godsend. It explains all the little bits of the syllabus, so it is great if you're a person who wants to learn things really thoroughly. There are also oodles of past exam questions, again all from AQA, so that you know exactly the type of questions you may get. The only downside is that some of the explanations are badly worded and hard to understand - but that is only occasional, and in those cases I just supplemented my studies by using other sources.
At the moment I i am using this book for As Maths and i think this book is excellent it has examples on how to do the questions so you wont be stuck, and it also has answers at the back so if you not in college you can do work on your own and then mark it yourself.
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Written to complement the explanations provided in Understanding Mathematics: From Counting to Calculus, the books may be used as a supplement or independent core curriculum. This textbook provides problem sets that are aligned with the sections explained in Understanding Mathematics: From Counting to Calculus. 305 pages, softcover.
Customer Reviews for Math Problems and Solutions Guide
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Mathematics for Physics With Calculus - 05 edition
Summary: A supplementary text for introductory courses in Calculus-Based Physics. Designed for students who plan to take or who are presently taking calculus-based physics courses. This book will develop necessary mathematical skills and help students gain the competence to use precalculus, calculus, vector algebra, vector calculus, and the statistical analysis of experimental data. Students taking intermediate physics, engineering, and other science courses will also find the book useful...show morendash;and will be able to use the book as a mathematical resource for these intermediate level courses. The book emphasizes primarily the use of mathematical techniques and mathematical concepts in Physics and does not go into their rigorous developments
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: A Practical Approach
Elementary and Intermediate Algebra: A Practical Approach provides concise, manageable treatment of the mathematics required for the combined algebra ...Show synopsisElementary and Intermediate Algebra: A Practical Approach provides concise, manageable treatment of the mathematics required for the combined algebra course. While emphasizing problem solving and the real-world applications of algebra, the text provides solid coverage of core mathematical concepts and essential symbol manipulation skills. Furthermore, the text encourages students to use graphing technology while still requiring them to master pencil-and-paper techniques for certain tasks. Authors Craine, McGowan, and Ruben combine their experience and expertise as a math educator and author, a math researcher, and an authority on math anxiety to deliver a balanced, targeted text that enables instructors to cover all the material for the combined course in one text 568 0618103376 Student Edition. No apparent missing pages....Fair. 0618103376
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Product Synopsis
This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times - from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience includes not only students of the history of mathematics, but also the wider mathematical community, specifically those who study, teach and use calculus. Among the distinctive features of this exposition are historically motivated exercises and carefully chosen illustrative examples. Numerous sections of the book are suitable for use in courses in introductory and advanced calculus as well as the general history of mathematics
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Algebra Prep (8)
The Summer Smarts course in Algebra Prep is for students who want to explore or improve their skills in mathematical concepts required for Algebra I courses.This course will provide an individualized study plan in the subject based on students' current level of knowledge and skills.Based on initial tests at the beginning of the course students will be prescribed lessons that will provide foundational, maintenance or acceleration in algebraic concepts including understanding variable expressions, multi-step equations, factoring, functions and graphing.All lessons are aligned to the Common Core standards for Algebra. Math practice will be done through interactive lessons that make studying fun!
A teacher will monitor each student's progress through the course and provide LiveLessons as well as daily tutoring hours to provide one-on-one assistance.When a student is ready for acceleration the teacher will move them into levels of higher skill based lessons.If a students need more time and practice on specific skills, they will be provided additional lessons and encouraged to attend the live tutoring sessions.Tutoring sessions shall be held at various times during regular school hours to accommodate differing schedules.
Sample of Assignments for Students May Include:
Introduction to Algebra
Pretest
Absolute Value
Addition and Subtraction of Integers
Multiplication and Division of Integers
Exponents and Square Roots
Scientific Notation
Operations with Exponents
Simplifying Numerical Expressions
Sequences
Quiz on Lessons 1-8
• Thinking Skills Lesson: Prediction:
Number Sequence Puzzles
Evaluating Variable Expressions
Simplifying Variable Expressions
One-Step Equations
Two-Step Equations
Graphing on the Coordinate Plane
Writing Equations from Words
Distance-Rate-Time Problems
Quiz on Lessons 9-15
• Thinking Skills Lesson:
Decision Making: Buying a House
Posttest
Factoring and Rational Expressions
Pretest
Common Monomial Factors
Factoring Trinomials
Factoring Completely
Solving Equations by Factoring
Quiz on Lessons 1 - 4
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions I
Adding and Subtracting Rational Expressions II
Solving Rational Equations I
Solving Rational Equations II
Quiz on Lessons 5 - 10
Posttest
Functions, Graphing, and Systems of Equations
Pretest
Relations and Functions
Evaluating Functions
Graphing Linear Equations
Slope of a Line
Equations of Lines
Graphing Linear Inequalities
Quiz on Lessons 1 - 6
Systems of Linear Equations: Graphing
Systems of Linear Equations: Substitution
Systems of Linear Equations: Linear Combination
Applications of Systems of Equations
Systems of Linear Inequalities
Quiz on Lessons 7 - 11
Posttest
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You are here
Lectures on Generating Functions
Publisher:
American Mathematical Society
Number of Pages:
128
Price:
29.00
ISBN:
0-8218-3481-9
Lando's Lectures on Generating Functions is distinguished by two closely intertwined features: It is driven by very, very interesting problems and examples; and it takes off in directions which are perhaps a little unusual in an introductory text on generating functions, fitted in the larger framework of combinatorics. The former feature is already abundantly evident from the first sentence of the book's preface: "After multiplying by (2n-1)! the coefficient of [the n-th term] in the power series expansion of the function tan(x) becomes a positive integer..." Thus, without naming names — and thereby giving away the tantalizing secret — Lando begins the book, even before the first chapter, with a veiled allusion to a candidate for the most famously named numbers in number theory. And he can hardly contain his enthusiasm (which is indeed quickly infectious) as he goes on to the second paragraph of the preface: "Mathematicians of the 18th and 19th centuries knew functions 'personally'..." Surely this is an irresistible challenge to join him in the recovery of a lost art!
Regarding the second property, the author's particular choice of topics, it's really all an immense amount of fun. After dealing very effectively with the requisite background concerning fundamental properties of elementary generating functions, Lando hits, for example, the Fibonacci numbers, the Catalan numbers, and formal grammars. Then, quickly introducing more and more (beautiful) machinery as he goes along, he gets to Pascal's triangle, the Dyck triangle, the Bernoulli-Euler triangle, and the Euler numbers, all in the context of generating functions of several variables. Very good stuff! And the last chapters of the book deal with such gems as the theory of partitions, continued fractions, and enumeration problems for embedded graphs.
The book is very well suited to self study or use in a seminar for a hand-picked audience. It is beautifully written, even if the exposition is a bit on the terse side, and it is certainly indicated that the reader or student should possess a fair amount of "mathematical maturity." This having been said, reading Lando's book is a trip well worth taking for any one interested in the topic of generating functions and the arithmetically well-endowed numbers or related objects, such as certain ordinary differential equations (see paragraph 5.8) which they describe.
Michael Berg (mberg@lmu.edu) is professor of mathematics at Loyola Marymount University in Los Angeles, CA. His research interests are algebraic number theory and non-archimedian Fourier analysis.
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Matrices, Geometry & Mathematica
Book Description: A computer-based course consisting of a complete interactive electronic text combined with a rich set of well chosen real life problems. The easy access to powerful technology allows experimentation. In the lab or lassroom the environment allows a partnership between teacher and student with emphasis on student responsibility. Independent study is also possible. Online tutoring is available. The courseware comes on a CD which contains all of the lessons, some extra tools, and Adobe PDF files for printing selected parts of the lessons: Lessons: Perp Frames and 2D Matrices, Higher Dimensions, Eigensystems, etc
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Lessons Include: Ratios, Unit Rates, Proportions, Solving Proportions, Fractions and Percents, Decimals and Percents, Find the Percent, Percent of a Number (Finding the Part) Finding a Number When the Percent is Known, Discount, Markup, Percent of Increase, Percent of Decrease
Pre-Algebra Grades 9-12 In addition to providing students with structure & focus, they are a natural path to other classroom activities involving math or critical thinking.
Geometry Demystified (Math Demystified) With this book you master the subject one simple step at a time--at your own speed. This unique self-teaching guide offers multiple-choice questions at the end of each chapter & section to pinpoint weaknesses, & a 100-question final exam to reinforce the entire book.
Everyday Math Demystified (Math Demystified) With this book, you can master the subject one simple step at a time--at your own speed. This unique self-teaching guide helps you decipher such topics as numbers & arithmetic, measurements, & fractions & graphs, & puts them into the context of real-life situations you're sure to encounter.
Math Word Problems Demystified (Math Demystified) With this book, you can master the subject one simple step at a time--at your own speed. This unique self-teaching guide offers practice problems, a quiz at the end of each chapter to pinpoint weaknesses, & a 40-question final exam to reinforce the methods & material presented in this book.
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Materials Needed
I require the use of one section of your three-ring binder for class notes,
and handouts. You will also need an adequate supply of notebook paper,
a pad of graph paper, pencils, colored pencils or pens, and a scientific
or graphing calculator (TI-83 Plus recommended).
Attendance Policy
The school policy as stated in the student handbook will be followed.
Tardies
It is important for students to get to class on time. When a student is
late to class it disrupts the entire class and will have the following
consequences:
First Tardy- 10 minutes detention in my room
Second Tardy- 20 minutes detention in my room
Third Tardy- Referral will be sent home
Fourth Tardy- Referral to administration
Grading Scale
Grading will be based on total points for the grading period. The grading
scale will be as follows: 100%-93% A 76%-73% C
92%-90% A- 72%-70% C-
89%-87% B+ 69%-67% D+
86%-83% B 66%-60% D
82%-80% B- 59%-0% F
79%-77% C+
Homework, Tests, and Quizzes
Doing math is a very important part of learning math, therefore, homework
will be assigned almost everyday. Homework will be corrected and discussed
the next day. Homework will be collected when needed. Tests and quizzes
will be given when needed. Tests will be announced before they will be
given. Quizzes will be both announced and unannounced. Tests and quizzes
(70%) will be the majority of the grade with some Homework (about 10%)
Projects/Investigations (10%), Problem of the Week (POW) (10%). Problem
of the Weeks will be given every two weeks, 7 of 9 must be done first
semester and 7 of 9 in second semester.
Teacher Philosophy
It is my goal to maintain a classroom atmosphere that is conducive to
the study of mathematics, and to explain all concepts to the best of my
ability, in or out of the classroom. I can provide the environment and
guidance but cannot learn for you the student. You are responsible
for your learning.
I believe that a student cannot learn self discipline unless he or she
has been disciplined in a firm, consistent and fair manner. I will run
my class accordingly. Remember, every student in this room has the right
to an education without disruptive influences or distractions of any kind
form other students. I as a teacher have the right to teach without
the same disruptions or distractions from students.
Problem of the Week
Problem of the Week will be given every other Tuesday and due in two weeks.
These problems will be based on what is being taught in class, or on other
topics that are appropriate to the class. The students need to explain
their thinking as thoroughly as possible. They will be graded on how well
they explain their thinking, not only on the correct answer. If an explanation
is not acceptable the students will have one week to improve their explanation.
Note: A late fee on $5.00 will be assessed if your text book is not returned
on time at the end of the semester.
_____________________________________________________________
Detach Here and Return to Teacher
I have received a copy of the classroom procedures for the Pre-Calculus
class.
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Introductory Algebra (6th Edition) by Ignacio BelloMcGraw-Hill Science/Engineering/Math | ISBN : 1193396399 | 3133 | 936 pages | PDF | 63MBIntroductory Algebra, 6e will be a review of fundamental math concepts for some students and may break new ground for others. Nevertheless, students of all backgrounds will be delighted to find a refreshing book that appeals to all learning styles and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master mathematics in the real world. Bello has written a textbook with mathanxious students in mind to combat the issue of student motivation, something that instructors face with each class. The addition of Green Math examples and applications expands Bello's reach into current, timely subjects.*Read before commenting*3) If you have problems in reading this file, let's use PDF-XChange Viewer (personally the best app for reading PDF) or Foxit.3) Just PM me if files are removed.FilesonicorWupload
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Exploring the Full Range of Mathematics and Seeing Its Source in Your Self
Mathematics
takes place in the imagination, in consciousness, unlimited either by
finite measuring instruments, by the senses, or even by the feelings. At
the same time, mathematics has strict criteria for right knowledge. The
power of mathematics lies in bringing infinity out into the finite and
making it useful in everyday life — from deciding which bank offers the
best return on money, to medical imaging, to designing textiles, to
creating a work of art, to putting a man on the moon. In this course,
students explore many different ways in which mathematics expresses,
emerges from, and uses infinity and its self-interacting dynamics. They
look at the foundation of mathematics in the infinitary processes of set
theory, the universe of sets, different sizes of infinity, the
continuum and its limit process, sequences and series, infinite
replication, and applications of infinity in many areas of life. (4
credits)
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The 2nd unit test will be Friday, April 12.As with the 1st test you should
bring your calculator, pencil, and a single 3x5 index card with notes
(optional, but recommended)
To prepare for the test I recommend reviewing the
terminology that was introduced in this unit.Problems are difficult if you aren't exactly sure what is being asked!Then you should practice on as many problems
as possible.You can go back and review/redo
the homework questions on MathXL, there have been worksheets
covering each of the topic, and the 4 quizzes are
excellent sources of the types of questions you could expect to see.Beyond those, here are some additional
practice problems from the book.These
are all odd numbered, so the answers are available in the back of the book, but
I recommend trying to answer these as if they were on a test – spend time
thinking about any that you find difficult before flipping back to the key.
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Key Message: The third book of a three-part series, Algebraic, Graphics, and Trigonometric Problem Solving, Second Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises within the text, MathXL(R) and MyMathLab(R) have been enhanced to create a better overall learning experience for the reader. Technology integrated throughout the text helps readers interpret real-life data algebraically, ... MOREnumerically, symbolically, and graphically. The active style of this book develops readers' mathematical literacy and builds a solid foundation for future study in mathematics and other disciplines. Key Topics: Function Sense and Linear Functions; Introduction to Functions; Linear Functions; Systems of Linear Equations and Absolute Value Functions; The Algebra of Functions; Addition, Subtraction, and Multiplication of Functions; Composition and Inverse of Functions; Exponential and Logarithmic Functions; Exponential Functions; Logarithmic Functions; Quadratic and Higher Order Polynomial Functions; Introduction to Quadratic Functions; Complex Numbers and Problem Solving Using Quadratic Functions; Curve Fitting and Higher Order Polynomial Functions; Rational and Radical Functions; Rational Functions; Radical Functions and Equations; An Introduction to the Trigonometric Functions; Introducing the Sine, Cosine, and Tangent Functions; Why are the Trigonometric Functions Called Circular? Market: For all readers interested in Algebra, Trigonometry.
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Product Details:
With an emphasis on problem solving, this book introduces the fundamental principles of computational modeling. The . Examples demonstrate the computation and visualization of the implemented models.
From the Publisher:
With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are included that demonstrate the computation and visualization of the implemented models.
The®,Octave, and FreeMat.
Aimed at beginning students in computer science, mathematics, statistics, and engineering, Introduction to Elementary Computational Modeling: Essential Concepts, Principles, and Problem Solving focuses on fundamentals, helping the next generation of scientists and engineers hone their problem solving skills.
Description:
Acclaimed authors Edwards and Penney combine core topics in elementary
differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real world applications ...
Description:
Computability: A Mathematical Sketchbook is a concise, rigorous introduction to
the theory of computation. Using Turing machines as models of computers, the author develops major themes of computability theory, culminating in a systematic account of Blum's abstract complexity measures. ...
Description:
Clustering is a phenomenon commonly observed across social science research
students are clustered in classrooms, individuals in households, and companies within industrial sectors, to name but a few examples. This book presents an elementary and systematic introduction to modeling ...
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Mathematics
Curriculum MAT.MAT.AS (U230A27)
The study of the various mathematical sciences involves learning ideas and techniques that are essential for the natural and social sciences and increasingly important in all areas of technological society.
Triton College Mathematics department offers classes that range from the college readiness level to those which would be suitable for the first two years of a Mathematics or related major at a transfer institution.
College readiness courses are designed to prepare students for college-level Mathematics and programs of study requiring the use of Mathematics, such as chemistry, accounting and the technologies. These courses are not designed for transfer and do not meet any degree requirements. Entry point in the Mathematics course sequence depends on a placement test score. Students are urged to begin their math sequence as soon as possible, since several semesters of course work may be necessary before a class can be applied toward degree requirements.
Triton has a course to prepare those prospective teachers who are planning to take the Basic Skills test in Mathematics. MAT 095, Basic Skills Test Math Review for Prospective Teachers, is designed to assist students who wish to review material which is covered on the test.
Those students wishing to review all their algebra online are invited to look at MAT 096, Algebra/Geometry when offered. This is an express review for students who only need to brush up their skills.
Students who select a major in Mathematics or a related field should plan their selections with the transfer college requirements in mind. In all cases, it is strongly recommended that the calculus sequence be completed at Triton College, as many transfer schools will not accept single courses as evidence of meeting requirements.
Some students will be required to take courses, which transfer as electives and are not applied to the General Education Core, but do constitute a prerequisite toward the calculus sequence and Finite Math. They are:
Occupational fields open to students who complete college Mathematics curricula include analysis in industry or government, teaching, actuarial work, computer programming, data analysis and other statistical work, and mathematical aspects of business and finance.
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Addendum to Course Description
Students will be evaluated not only on their ability to get correct answers and perform correct steps, but also on the accuracy of the presentation itself.
Application problems must be answered in complete sentences.
Intended Outcomes for the course
Upon successful completion students should be able to:
? Choose and perform accurate arithmetic computations in a variety of situations with and without a calculator.
? Creatively and confidently apply mathematical problem solving strategies.
? Meet the prerequisite for future course work.
Outcome Assessment Strategies
1.The following must be assessed in a proctored, closed-book, no-note, and no-calculator setting: basic arithmetic with fractions, decimals, and signed numbers, and order of operations.
2.At least two proctored, closed-book, no-note examinations (one of which is the comprehensive final) must be given. These exams must consist primarily of free response questions although a limited number of multiple-choice and/or fill in the blank questions may be used where appropriate.
3.Assessment must include evaluation of the student's ability to arrive at correct and appropriate conclusions using proper mathematical procedures and proper mathematical notation. Additionally, each student must be assessed on their ability to use appropriate organizational strategies and their ability to write conclusions appropriate to the problem.
4.At least one of the following additional measures must also be used
Take-home examinations
Graded homework
Quizzes
Projects
In-class activities
Portfolios
Writing assignments
Course Content (Themes, Concepts, Issues and Skills)
THEMES:
1.Mathematical vocabulary
2.Number sense
3.Computational proficiency
4.Critical thinking
5.Appropriate use of technology
6.Team work
SKILLS:
1.0ORDER OF OPERATIONS
1.1Vocabulary (Define and use)
1.1.1Grouping symbols
1.1.2Exponents
1.1.3Square roots (perfect squares)
2.0SIGNED NUMBERS
2.1Vocabulary (Define and use)
2.1.1Absolute value
2.1.2Opposite vs. negative vs. minus (subtract)
2.2Number sense
2.2.1Compare signed numbers using inequality and equality notations
2.2.2Place signed numbers on a number line
2.3Computation
2.3.1Add, subtract, multiply, and divide signed numbers
2.3.2Simplify signed numbers to exponents
2.4Order of operations with signed numbers
2.5Applications with signed numbers
3.0FRACTIONS
3.1Vocabulary (Define and use)
3.1.1Proper fractions, improper fractions, mixed numbers
3.1.2Reciprocal
3.1.3Prime number
3.1.4Composite number
3.1.5Divisibility Rules 2, 3, 5, 9, and 10
3.2Number Sense
3.2.1Compare fractions using inequality and equality notations
3.2.2Place signed fractions on a number line
3.3Computation
3.3.1Add, subtract, multiply, and divide signed fractions
3.4Order of operations with fractions
3.5Applications involving fractions
3.5.1Write answers to application problems as complete sentences and using proper units
3.5.2Ratios and rates
4.0DECIMALS
4.1Vocabulary (Define and use)
4.1.1Place values
4.1.2Powers of ten
4.1.3Terminating, repeating and non-terminating
4.2Number sense
4.2.1Compare decimals using inequality and equality notations
4.2.2Place signed decimals on a number line
4.2.3Rounding decimals
4.3Computation
4.3.1Add, subtract, multiply, and divide signed decimals
4.3.2Convert between fractions and decimals
4.4Order of operations with decimals
4.4.1Round at the end of the calculation
4.5Applications
4.5.1Write answers to application problems as complete sentences and using proper units
4.5.2Rates and ratios
4.5.3Unit rate and unit price
5.0PROPORTION AND PERCENT
5.1Vocabulary
5.1.1Proportion
5.1.2Percent
5.2Number sense
5.2.1Convert between fractions, decimals, and percents
5.3Computation
5.3.1Solve proportion problems for missing value
5.3.2Solve percent problems
5.4Applications
5.4.1Write answers to application problems as complete sentences and using proper units
5.4.2Identify and solve problems that involve reasoning about proportions
5.4.3Solving percent increase and percent decrease problems
5.5Technology
6.0GRAPHS
6.1Introduce, read and interpret graphs
7.0FORMULAS AND CONVERSIONS
7.1Perimeter and area of rectangles, squares and triangles
7.2Computing mean, median, and mode
7.3Introduce unit conversions within each measurement system
7.4Money, $0.35 vs. 35¢ (students often write 0.35¢)
ADDENDUM:
Prerequisites -
The students in this course come from mathematically diverse backgrounds, from those who need a refresher and decide to start at the beginning, to those who have never been successful at mathematics.
Intended Course Goals –
Mth 20 is a review of arithmetic skills and provides a good foundation for students to take Mth 60, beginning algebra. Beginning algebra students often encounter difficulty operating with fractions and negative numbers, resulting in the need to take Mth 20. Thus, it would be beneficial to incorporate these topics throughout the course, whenever possible, so that students have ample exposure. This will lead to greater success in Mth 60.
When performing addition and subtraction operations with fractions (not mixed numbers) traditionally students perform the operations in a vertical format. This format however does not serve them at all in algebra, in which many cases the work is shown horizontally. Thus, to help students prepare for algebra, it is suggested that we have students perform computations in a horizontal format also.
Vertical Format Horizontal Format
The Mathematics SAC recognizes that how one presents the steps to a problem that lead to the desired goal is as important as the answer itself. We want all of our students to recognize this fact; thus an instructor will need to emphasize the importance of how to write mathematics properly. All students in a Math 20 course should consistently write proper mathematical steps; students must adhere to correct use of syntax. A portion of the grade for any problem, when applicable, should be based on mathematical syntax.
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Friday, November 22, 2013
Donald L. Vestal reviews In the Dark on the Sunny Side by Larry W. Baggett as part of MAA Reviews.
On a summer day in 1944, five-year-old Larry Baggett used a paring knife to cut a string for a much-needed ammo sack for his slingshot. But, after violating the "Never cut toward yourself" rule, he accidentally sent the point of the knife into his right eye. And over the next few weeks, after multiple treatments and surgeries, he gradually lost sight in both eyes. What becomes of a blind kid in 1940s America? Does he become a jazz musician? A lawyer? A physicist?
The answer turns out to be: a math professor. In this memoir, Baggett details his path towards professorhood. But the path is not so much about the math, but about the normal and sometimes abnormal things that people go through, some of which — but not all — are unique to the blind.
As a blind child in the 40s and 50s, Baggett experienced the very beginning of the mainstreaming movement. Although his early schooling took place at the Perkins School for the Blind, for fourth grade he left the community of the blind to be educated at Gotha School.
Sit back. Relax. Close your eyes. Now imagine that you are picking up a calculus textbook. Feel its mighty heft. Open it to see the formulas inside the front cover, the table of integrals at the back of the book, the solutions to odd-numbered exercises. Scan the table of contents for the familiar topics, in the familiar order. Flip open to a page at random and admire the colorful graphics, the theorems helpfully boxed and shaded, the examples carefully worked out. Note the many exercises you may assign to your students. Resist the urge to call the university bookstore and ask how much they are charging this semester for this impressive tome.
Now imagine a completely different kind of text—different both in content and delivery. In fact, you are reading it on your iPad. That book might be David Smith and Lang Moore's Calculus: Modeling and Application (CMA), available through the MAA Bookstore as an electronic text. It is a direct descendent of The Calculus Reader [2], one of the more popular texts to grow out of the calculus reform movement of the 1990s [1], and it retains much of the flavor of that earlier book. Its emphasis is on the use of authentic real-world problems to motivate learning new mathematics; on the use of technology for graphing, computation and exploration; and on collaboration among students as they discover patterns and construct their own mathematical knowledge.
Friday, October 25, 2013
The authors of this book, as they explain in their first chapter, are taking readers/students on a journey — one that will "add new, powerful inquiry skills" to a student's repertoire: abstraction, exploration, conjecture, justification, application, and extension. The book is clearly intended for inquiry-based mathematics courses. It is replete with explorations to undertake, definitions to explore, and theorems to prove, but there are no sample proofs or answers.
The book has five chapters, with the middle three chapters on graphs, groups, and ε-δ calculus constituting the bulk of the book. To me, it is clear that any one of these middle chapters by itself has the potential to be used for an entire one-semester course. There is really enough material in the ε-δ calculus chapter for an introductory junior level real analysis course. Similarly, the group theory chapter gets to Sylow's Theorem and has more in it than most students could cover in one-semester when doing all the work themselves. Read the full review here.
Annie Selden is Adjunct Professor of Mathematics at New Mexico State University and Professor Emerita of Mathematics from Tennessee Technological University. She regularly teaches graduate courses in mathematics and mathematics education.
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Linear Programming is a mathemematical techinque for choosing the best alternative form of a
set of feasible alternatives. In situations where the objective function as well as the restictions or...Linear Programming is a mathemematical techinque for choosing the best alternative form of a
set of feasible alternatives. In situations where the objective function as well as the restictions or
constraints can be expressed as linear mathematical functions.
Different appllications are of L.P.P are:
THE DIET PROBLEM:
To find the cheapest combinations of foods that will satisfy all your nutritional requirements.
Example:
Suppose the only foods available in your local store are potatoes and steak. The decision about
how much of each food to buy is to made entirely on dietary and economic considerations. We
have the nutritional and cost information in the following table:
Per unit
of potatoes
Units of
carbohydrates
Units of vitamins
Units of proteins
Unit cost
Per unit
of steak
Minimum
requirements
3
1
8
4
1
25
3
3
50
19
7
The problem is to find a diet (a choice of the numbers of units of the two foods) that meets all
minimum nutritional requirements at minimal cost.
a. Formulate the problem in terms of linear inequalities and an objective function.
b. Solve the problem geometrically.
a) We begin by setting the constraints for the problem. The first constraint represents the
minimum requirement for carbohydrates, which is 8 units per some unknown amount of time. 3
units can be consumed per unit of potatoes and 1 unit can be consumed per unit of steak. The
second constraint represents the minimum requirement for vitamins, which is 19 units. 4 units
can be consumed per unit of potatoes and 3 units can be consumed per unit of steak. The third
constraint represents the minimum requirement for proteins, which is 7 units. 1 unit can be
consumed per unit of potatoes and 3 units can be consumed per unit of steak. The fourth and fifth
constraints represent the fact that all feasible solutions must be nonnegative because we can't buy
negative quantities.
constraints:
{3X1 + X2
8, 4X1+ 3X2
19, X1+ 3X2
7, X1 0, X2
0};
Next we plot the solution set of the inequalities to produce a feasible region of possibilities.
PORTFOLIO OPTIMIZATION
To minimize the risk in your investment porttfolio subject to achieving a certain return.Many
investment companies are now using the optimiztion and linear programming extensively to
decide how to allocate assets.the increase in the speed of computers has enabled the solution of
far larger problems.
Example:
(Minimize the Risk)
minimize the variance xtV x
with a specified expected return r = atx subjected to linear and (or nonlinear)
constraints.
CREW SCHEDULING
An... View Full AttachmentShow more
|
To report an error or suggest an additional fact,
send e-mail to Leslie Hogben
with HLA in
subject heading.
Handbook of Linear
Algebra (HLA) covers the major topics of linear algebra at both
the
graduate and undergraduate level, including numerical linear algebra
and combinatorial linear algebra, as well as its applications, and
software packages for linear algebra computations, all in
an easy-to-use handbook format.
HLA takes the reader
from the very elementary aspects of the subject to the frontiers of
current research, and its format (consisting of a number of independent
chapters each organized in the same standard way) should make this book
accessible to readers with divergent backgrounds.
There are five main parts to this book. The first part (Chapters
1 - 26) covers the linear algebra; the second (Chapters 27-36) and
third (Chapters 37-49) cover, respectively, combinatorial and numerical
linear algebra, two important branches of the subject.
Applications of linear algebra to other disciplines, both inside and
outside of mathematics, comprise the fourth part of the book (Chapters
50-70). Part five (Chapters 71-77) addresses software packages
useful for linear algebra computations. There are also a 40 page
Glossary and a Notation Index, in addition to an Index.
Each chapter is written by a different author or
team of authors, who
are experts on the area covered
by the chapter. Each chapter includes a list of references and is
divided into sections, which are organized into the following
uniform format:
Definitions
Facts
(theorems)
Examples
Linearization often
enables difficult problems to be estimated by more manageable linear
ones, making the Handbook of Linear Algebra essential reading for
professionals who deal with an assortment of mathematical problems.
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An undergraduate-level text which challenges the student throughout with the development of topics in linear algebra. A study guide, instrutor's edition and instructor's technology resource manuals are also available....
(learn more about this book)
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on...
(learn more about this book)
Determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces,...
(learn more about this book)
by Michael Spivak
This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics....
(learn more about this book)
This third edition of the successful outline in linear algebra--which sold more than 400,000 copies in its past two editions--has been thoroughly updated to increase its applicability to the fields in which linear algebra is now essential: computer science, engineering, mathematics, physics,...
(learn more about this book)
This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The...
(learn more about this book)
by Tom M. Apostol
Volume II of "Calculus", contained in this work, presents multi-variable calculus and linear algebra, with applications to differential equations and probability. Volume I, sold separately, presents one-variable calculus with an introduction to linear algebra.
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Starting at $12Pre-Calculus Demystified
Summary
Your solution to mastering pre-calculus! Fully updated throughout, Pre-calculus DeMYSTiFieD, Second Edition features all-new quizzes and test questions, detailed explanations of the exercises, and a completely refreshed design. Author Rhonda Huettenmueller helps you understand the material by organizing the information from simple to complex, and presenting it clearly and concisely. This practical guide covers lines, functions, exponents, logarithms, systems of equations, matrices, conic sections, and more. Step-by-step examples make it easy to understand the topics, and end-of-chapter quizzes and a final exam reinforce key concepts. Pre-calculus DeMYSTiFieD, Second Edition Contains examples, graphs, questions, and answers Helps you prepare for the CLEP (College-Level Examination Program) Pre-calculus test, SATs, or other college placement exams
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67 minute basic algebra lesson will introduce you to equations by starting with the rules for solving very basic equations. It includes equations with fractions (rational equations). After this lesson you will understand:
- the degree of a linear equation
- solving equations with brackets
- solving and verifying
- solving equations with fractions like 2/3(k-1) = 1/2(k+5) - 2
This lesson contains explanations of the concepts and 16 example questions with step by step solutions plus 4
Recent Reviews
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Linear Analysis
Description
This video series is a comprehensive course of study that presents effective finite element procedures for the linear analysis of solids and structures. The finite element method is the ideal tool for solving static and dynamic problems in engineering and the sciences. Linear analysis assumes linear elastic behavior and infinitesimally small displacements and strains. To establish appropriate models for analysis, it is necessary to become familiar with the finite element methods available.
In these videos, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures. Upon completion of this video course, a second course covering Nonlinear Analysis is available.
About ADINA
This video course presents general theory and use of finite element procedures. However, the course refers in many parts to ADINA, a finite element program for general state-of-the-art linear and nonlinear, static and dynamic, and multi-physics analyses. Please see ADINA R&D for more information
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It also introduces matrices and their properties. The content of this course are important for students' success on both the ACT and college mathematics entrance exams. Algebra 2 deals with algebraic and geometric concepts.
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+ By Philip Sarajlic
Scientific Toolbox is a combination of multiple useful utilities that are presented in a very accessible way. The application provides an array of advanced functions for handling different number operations and can also be used to calculate various conversions between SI-units and their derivatives.
On the other hand, Scientific Toolbox provides a large and comprehensive collection of formulas that are commonly used within multiple subjects such as mathematics, chemistry and physics. The formulas are described in detail, so that they become easily comprehended by students and others who have interest in science. The application provides also illustrations for formulas that are tightly bound to geometrical calculations. Therefore, Scientific Toolbox can be used within multiple fields of application (science, chemistry, physics, mathematics, calculations, school lessons) and is highly flexible since it provides a very broad range of content!
e^x is on the main menu, but the inverse function ln(x) is hided (advanced + general + ln) The bottons look nice and are comfortable. The name "scientific toolbox" is a misleading advertisment. Actually, this calculator doesn't make any advanced calculati
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Real Analysis
Book summary
This course in real analysis is directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to specialists and nonspecialists alike. The text covers three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal, down-to-earth style, the author gives motivation and overview of new ideas, while still supplying full details and complete proofs. He provides a great many exercises and suggestions for further study. [via]
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Algebra: Introduction to Algebra (by hand and by using your calculator), and finally, there is a VERY detailed section on how to translate English phrases into algebraic expressions.
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The Top Ten List of Algebra Mistakes This is a humorous look at the mistakes students commonly make in Algebra. The instructor uses voiceovers with vintage video clips. Author(s): No creator set
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How to Learn Algebra When learning algebra, it helps to avoid becoming intimidated and
to start off by learning simple problems to build confidence. A standarized test prep teacher show how to isolate variables to solve algebra problems. with examples on a whiteboard. Narrator speech is shown as text on bottom of screen.
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Step-By-Step Solutions for Algebra Solving algebra math problems step-by-step is important in order
to avoid missing a number or step and ending up with the wrong answer.
A math teacher teaches step-by-step instructions for solving algebra problems with examples on paper.
Algebra Skills, Part 2 This video continues with the basic rules of Algebra using a whiteboard. Author(s): No creator set
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(Algebra) Number Lines, Part 2 This video illustrates how to graph an inequality on the number line. I could not post Part 1. Author(s): No creator set
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No related items provided in this feedIntro to Algebra (Part 2) This is part 2 introduction to algebra. Larry continues with what what was learned in part 1 and part 1 should be watched before proceeding to part 2. Larry explains how to solve an algebra problem using addition on a whiteboard.
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Intro to Algebra (Part 3) Lesson on introduction to algegra part 2. Watch part 1 and 2 before watching this part. Larry continues with solving examples of problems using multiplication on a whiteboard.
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Basic Algebra : Learning Algebra Learning algebra is the next step after basic mathematics and involves the use of variables. Incorporate letters in addition, multiplication and other math problems to grasp the concept of algebra with assistance from a math teacher in this video on mathematics. Includes closed captioning. Run time 01:53.
Expert: Jimmy Chang
Bio: Jimmy Chang has been a math teacher at St. Pete College for nearly a decade. He has a master's degree in math, and his specialties include calculus, Author(s): No creator set
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Algebra Math Tips: Order of Operations, Sign Rules, and Words Excellent video from Jimmy Chang, who has a master's degree in math and has been a math teacher at St. Pete College for more than eight years. He discusses order of operations, integer sign rules, and specific operation words. Author(s): No creator set
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Enhancing the Adaptivity of an Existing Website with an Epiphyte Recommender System In this paper we propose an approach to enhance the adaptivity of an existing Website by plugging on top of it ("epiphyte approach") a recommender system that displays additional
tips and functionalities in a separate window. The recommender system analyzes the way the user browses through the Website according to predefined prototypical ways of using the Website ("models of use") and then proposes information or functionalities that appear useful according to this model of use. Different mo Author(s): Richard Bruno,Tchounikine PierreSituational knowledge in physics: The case of electrodynamics Major difficulties for a novice physics problem solver are how to interpret new problems and how to combine information given in the problem with information already known. A domain expert, by contrast, has the knowledge to take full advantage of problem features at a glance. It takes a long period of practice to acquire such situational knowledge, and it would be desirable for this to be taught more effectively. As a first step, this requires information on how situational knowledge differs acr Author(s): Savelsbergh Elwin,de Jong Ton,Ferguson-Hessler Mon
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Physics learning with a computer Algebra systems: Towards a learning environment that promotes enhan To become proficient problem-solvers, physics students need to form a coherent and flexible understanding of problem situations they are confronted with. This is important both for solving problems and for interpreting solutions. Still, many students have only a limited representation of the problems they are working on. Therefore, we devised an instructional approach to promote students' understanding of these problems, and to support them in forming associations between problem features and so Author(s): Savelsbergh Elwin,Ferguson-Hessler Monica G. M.,de
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Improving database design teaching in secondary education: action research implementation for docume Database design and use has educational interest for utilitarian and learning reasons. Database technology has significant economic impact and the demand for database design can not be covered by the existent educated experts. Furthermore the database management systems available at schools could be used for the design and implementation of high quality learning activities. Databases are general
purpose modeling environments that enable problem solving using conceptual frameworks closer to the s Author(s): Fessakis George,Dimitracopoulou Angelique,Komis Va
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Looking Ahead to Select Tutorial Actions: A Decision-Theoretic Approach We propose and evaluate a decision-theoretic approach for selecting tutorial actions by looking ahead to anticipate their effects on the student and other aspects of the tutorial state. The approach uses a dynamic decision network to consider the tutor's uncertain beliefs and objectives in adapting to and managing the changing tutorial state. Prototype action selection engines for diverse domains – calculus and elementary reading – illustrate the approach. These applications employ a rich mod Author(s): Murray R. Charles,VanLehn Kurt,Mostow Jack
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A Comparison of Model-Tracing and Constraint-Based Intelligent Tutoring Paradigms Two approaches to building intelligent tutoring systems are the well-established model-tracing paradigm and the relatively newer constraint-based paradigm. Proponents of the constraint-based paradigm claim that it affords performance at levels comparable to that of model-tracing tutors, but with significantly less development effort. We have built both a model-tracing and constraint-based tutor for the same problem domain (statistical hypothesis testing) and report on our findings with the goals Author(s): Kodaganallur Viswanathan,Weitz Rob R.,Rosenthal Da
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"ACT Math For Dummies" is an approachable, easy-to-follow study guide specific to the Math section, complete with practice problems and strategies to help you prepare for exam day.Review chapters for algebra, geometry, and trigonometryThree practice tests modeled from questions off the most recent ACT testsPacked with tips, useful information, and strategies
"ACT Math For Dummies" is your one-stop guide to learn, review, and practice for the test!
From the Publisher: Multiply your chances of success on the ACT Math Test
ACT Math For Dummies is an approachable, easy-to-follow study guide specific to the Math section, complete with practice problems and strategies to help you prepare for exam day.
Review chapters for algebra, geometry, and trigonometry
Three practice tests modeled from questions off the most recent ACT tests
Packed with tips, useful information, and strategies
ACT Math For Dummies is your one-stop guide to learn, review, and practice for the test!
Description:
Manage your time and ace the mathematics section of the
SATScoring well on the mathematics section of the SAT exam isn''t guaranteed by getting good grades in Algebra and Geometry. Turn to "SAT Math For Dummies" for expert advice ...
Description:
Over 500 questions and answers written by certified teachers and
college professors with a focus on exam preparation. Highlights the essential Algebra II and Trigonometry facts you need to know to test well. Prepare for quizzes, tests, ACT, CLEP, ...
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nam and Beyond takes{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":52.32,"ASIN":"0387257659","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":86.11,"ASIN":"0387961712","isPreorder":0}],"shippingId":"0387257659::fQ3771gTGqerlKYI5Tm3cnV2DgMIwNnbr1WP8SIChlvNbNEt5pmS%2B0cPkxXroXbOy3%2BSVAX1fuPUWB9Y9ohMXiS76XYEwqJ2AtSYhRJTTj16OL0%2BynAgVg%3D%3D,0387961712::cUgzkx%2FnMvxn79dwgcOcdqAewS3YHKpCtB7LskMVb4uf2Os%2BtDVPwuEt1yNCjCYd6mVT9csaaaN4oDdpQUHwYnp9I7Oz%2BGeL39FUPjMQm work contains carefully selected problems in Algebra, Real Analysis, Geometry and Trigonometry, Number Theory and Combinatorics and Probability. … The book is mainly intended to offer the principal skills and techniques for solving problems in elementary Mathematics. … The reviewer recommends this book to all students curious about the force of mathematics, especially those who are bored at school and ready for a challenge. Teachers would find this book to be a welcome resource, as will contest organizers." (Teodora-Liliana Radulescu, Zentralblatt MATH, Vol. 1122 (24), 2007)
"I enjoyed this book … . Not just because of the collection of problems, but also because of their sheer scope and depth. This is a great collection which is extremely well-organized! … This extraordinary book can be read for fun. However, it can also serve as a textbook for preparation for the Putnam … for an advanced problem-solving course, or even as an overview of undergraduate mathematics. … it could certainly serve as a great review for senior-level students." (Donald L. Vestal, MathDL, December, 2007)
"A 935-problem and almost 800-page super-problem book with solutions, whose reading would certainly challenge, attract, and keep really busy any undergraduate student interested in acquiring various problem-solving techniques. … the array of remarkable problem books has gained a new addition that could be really useful to undergraduate students. … a book about excellence in mathematics, coming from a long cultural tradition whose history and experience can only help us deepen our understanding of how mathematics could be taught in a more attractive and inquisitive way." (Bogdan D. Suceavă and Jack B. Gaumer, The Mathematical Intelligencer, Vol. 33 (2), 2011)
From the Back Cover
Putnam and Beyond
takes* Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic.
* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors.
* Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible.
This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for self-study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
Most Helpful Customer Reviews
There are many books on problem solving. The majority are aimed at junior high and high school students preparing for either the International Mathematical Olympiad or national IMO selection tests (the American Mathematics Contests in the United States, such as the USAMO). A select few, such as Problem Solving through Problems by Loren Larson, are aimed at university students preparing for university competitions. This book, as the title suggests, belongs to this latter category, and it has a particular emphasis on the sorts of problems that occur on the Putnam exams.
This book is generally written at a higher level than most other problem solving books. Many problem solving books place a great emphasis on geometry. Just as the Putnam exam generally replaces synthetic geometry with analysis and abstract and linear algebra (although there are exceptions), so this book replaces the traditional focus on geometry with a focus on analysis and algebra. That said, there is an entire chapter on geometry, but it does not discuss synthetic geometry, instead focusing on vectors, the geometry of the complex plane, analytic geometry, and some special topics that are especially relevant to college mathematics (integrals in geometry, some higher-level results such as the fact that all conics are rational curves, and a brief but still substantive survey of trigonometric substitutions).
Putnam and Beyond discusses many areas of college mathematics that are likely to appear on the Putnam exam but would never appear on the IMO, such as abstract algebra, linear algebra, and real analysis (with a very tiny bit of complex analysis).
That said, this book still does overlap a bit with many other problem solving books.Read more ›
This book consists of a very useful collection of Putnam-like math problems. Putnam and Beyond is organized for self-study by undergraduate and graduate students who wish to try a lot of competitive math problems.It is also useful for teachers who are preparing their bright students for IMO type (or higher) math competitions. However the book assumes a level of mathematical maturity and prior mathematical knowledge that not many college students possess. Another very useful book for math competitions is The IMO Compendium.
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Study Guides
showing 1 - 10 of 711
1.
What is FOIL?
The FOIL Method — First Outer Inner Last — is the best system to use when multiplying two binomials. You can think of it as a slightly more advanced version of the distributive property of multiplication, which tells us that a(b + ...
Introduction to The Slope and Equation of a Line
The slope of a line and the meaning of the slope are important in calculus. In fact, the slope formula is the basis for differential calculus. The slope of a line measures its tilt. The sign of the slope tells us ...
Introduction to Functions and Their Graphs
The graph of a function can give us a great deal of information about the function. In this chapter we will use the graph of a function to evaluate the function, find the x- and y ...
Introduction to Combinations of Functions
Most of the functions studied in calculus are some combination of only a few families of functions, most of the combinations are arithmetic. We can add two functions, f + g(x), subtract them, ...
Introduction to Translations and Special Functions
Calculus students work with only a few families of functions—absolute value, n th root, cubic, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Two or more of ...
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Introduction Each
year, amusement park owners compete to earn part of the billions
of dollars Americans spend at amusement parks. Often the parks
draw customers with new taller and faster roller coasters.
In this project, you will explore how radical and rational
functions are related to buying and building a new roller
coaster.
The Task You design roller coasters for a company
that sells coasters to amusement parks all over the world.
Your job also includes preparing a portfolio or Web page for
prospective buyers that shows the roller coaster design, the
speed of the coaster, and the cost of the coaster. You also
need to include information about financing the cost of the
coaster. You have just developed a new roller coaster and
need to prepare a portfolio or Web page of materials for the
buyers. Your portfolio or Web page must include the following
information:
a scale drawing of the new coaster
you have designed;
calculations showing the speed
of your roller coaster at two locations during the ride;
the cost of your roller coaster
and two options for financing the cost of the roller coaster
for the purchaser (this could include different interest
rates, lengths of loans, and the amount of money used as
a down payment);
a table showing the payments and
remaining balance for at least the first two years of payments
on the coaster.
The Process To successfully complete this project,
you will need to complete the following items.
Be creative. Add pictures or colorful
illustrations to your portfolio or Web page.
Guidance Here are some additional questions
and ideas you may want to consider for your project.
How does changing the height or the length of a hill of
a roller coaster affect the speed?
What types of skills does the designer of a roller coaster
need? To find out, interview an engineer, or a designer
of amusement park rides.
What physics principles are used in the design of roller
coasters and other thrill rides? To find out, interview
a physics teacher.
How does the rate of interest affect the payments that
must be made on money that is borrowed? How does the length
of time of the loan affect the total amount of interest
paid when borrowing money?
How might you estimate the amount of money that can be
generated by a roller coaster?
Conclusion Here are some ideas for concluding
your project.
Present your project to your class
or at a family night.
Write a one-page summary of your
project, including what you have learned from researching
this topic.
Make a poster for your project
in addition to preparing a portfolio or Web page. Have other
students critique the information presented on your poster.
Questions
Lesson 11–1
Maurice is preparing his calculations to show the speed of
his new roller coaster at the top of one of the hills. Suppose
the coaster reaches its maximum speed of 72 miles per hour
at the bottom of the second hill, which is 157 feet tall.
The formula for determining the speed of a coaster at the
top of any hill is ,
where v1 = speed at the top of the hill in ft/sec,
v2 = speed at the bottom of the hill in
ft/sec, h1 = height at top of hill in feet, h2 = height at bottom of hill in feet, and
g = 32 ft/sec2, the constant for gravity.
Assume that the bottom of the hill has height 0 ft.
What will be the value of 2gh2?
Why?
The value of v2
in the formula should be expressed in ft/sec since the value
of g is in ft/sec2. What is the maximum
speed of the coaster at the bottom of the hill in ft/sec?
List the values for each variable
to use in the expression on the right side of the formula.
What is the speed of the coaster
at the top of the second hill?
Lesson 12–2
Jada is preparing a portfolio for her roller coaster design.
The cost of the roller coaster is $1,000,000. She assumes
that an amusement park may want to make a down payment of
$100,000. Then they will finance the remaining $900,000 for
30 years. The current rate of interest offered by a particular
bank is 7.25%. She wants to know the monthly payment, so she
uses the formula P = ,
where P = monthly payment, C = amount of loan,
r = interest rate ÷ 1200, and N = total number
of monthly payments.
Why do you think that the interest
rate, 7.25%, is divided by 1200 in the formula?
List the values for each variable
to use in the expression on the right side of the formula.
Be sure you find the total number of monthly payments, not
just the number of years of payments.
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I came across many recommendations for both of these books, but I'm not sure which one should I use to study calculus...
I know most of the methods used in calculus and I use them frequently, but I'm shooting for mathematical physics and I was wondering which of these books would be better for someone aiming for something which is both mathematically rigorous and written in a good style for a physicist.
Also, if there is some other book that fits the description, I would appreciate the recommendation!
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Category:Calculus
This category contains books on calculus: a discipline in mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of equations.
Related categories
The following 5 related categories may be of interest, out of 5 total.
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Design a Test Problem
Extra Credit Assignment
You can earn extra credit by designing test problems of your own.
Each problem will be worth up to 10 points added to your "test" total.
The Assignment: Design or invent a problem suitable for
use on a test or extended homework assignment for this class. The
problem must test the concepts used in the class and be at a suitable
difficulty level.
The problem must not be a mere rehash of a homework or test problem previously
assigned. Try to come up with something that is "different". You might try to:
Combine skills and routines in an unusual way.
Design a problem around an unconventional application.
Relate material from this class to that in your other classes.
Apply class material to a personal interest
BE CREATIVE and have fun.
Each submission must include three separate parts.
One clear copy of the problem suitable for distribution to the class.
A fully worked out solution of your problem. Include all relevant
formulas, data, and explanations.
An explanation of what makes the problem suitable for a test in this
class. This should answer questions like:
What skills does the problem require?
What knowledge does it evaluate?
What type(s) of analysis does it require?
Does it require a creative ("design") solution or a more routine
("analysis") solution?
Where in the course would your problem be appropriate (what concepts
must be understood to solve it)?
All three parts must be submitted. If ANY PART is missing, NO credit will be
awarded.
Grading: Grading on this assignment will be very subjective. Best scores
typically go to problems that I enjoy reading and those that are unique.
Problems need to hold together -- hand waving hurts.
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For Dummies
Supplemental materials are not guaranteed for used textbooks or rentals (access codes, DVDs, workbooks)....
Show More set of problems, this workbook shows you how to work with fractions, exponents, factoring, linear and quadratic equations, inequalities, graphs, and more!100s of problems!Hundreds of practice exercises and helpful explanationsExplanations mirror teaching methods and classroom protocolsFocused, modular content presented in step-by-step lessonsPractice on hundreds of Algebra I problemsReview key concepts and formulasGet complete answer explanations for all problems
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More About
This Textbook
Overview
Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Basic College Mathematics, Fourth Edition was written to help readers effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success.
Editorial Reviews
From The Critics
This text provides a foundation in basic college mathematics, covering whole numbers, fractions and decimals, ratio and proportion, percent, and measurement, and introducing geometry, statistics and probability, and algebra. Emphasis is on applications, interpretation, problem solving, writing, use of technology, and critical thinking. Learning features include worked examples following a four-step process of understanding, translation, solving, and interpretation. This second edition contains new material on study skills integrated throughout, and an increased integration of geometry concepts. The author teaches mathematics at the University of New Orleans. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Booknews
An introductory textbook for students needing math in non-mathematical courses. The author covers standard math topics from place value and adding; through statistics and geometry, to basic algebra. Annotation c. by Book News, Inc., Portland, Or.
Prefacedevelop student proficiency in algebra and problem solving, and to prepare students for future courses.
Introduction developstudent proficiency in algebra and problem solving, and to prepare students for future
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Mathway Algebra Solver
Most of kids have a phobia of mathematic. That's why parents are worried about the mater. We should find out our kid's level then give him/her unique concept both of us and our child who accept it. The quantity we demand to reduce can change significantly one conception to the following. Our kid may be outstanding at finding area; only might be having it crude on angles. So we should it a gradation at one time. Such is how the mathematics conception as totally will be dominated, ...
Algebra is a division of mathematics regarding the study of quantity, relation, and. Structure. Together with analysis, geometry, number theory, and combinatorial, algebra is the major divisions of mathematics. Basic algebra is frequently fraction of the prospectus in secondary teachings. Most of the sites still give particular algebra software course recognized as my algebra solvers. This type of programs needs you to enter algebraic troubles along with suitable signs.
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Calculus Definition
Definition: Calculus is the study of 'Rates of Change'. Calculus as we know it today was developed in the later half of the seventeenth century by two mathematicians, Gottfried Leibniz and Isaac Newton. There are two main branches of calculus: Differential Calculus and Integral Calculus. Differential calculus determines the rate of change of a quantity, integral calculus finds the quantity where the rate of change is known. "Functions" are defined by a formula. Are you ready for Calculus? Find out here
Examples:
When you are studying the rates of change in mathematics, you are in the branch of mathematics called Calculus.
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Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. It covers discrete mathematics, data structures, and computational physics, including high-order discretization of nonlinear equations. more...
Accessible Mathematics is Steven Leinwand?s latest important book for math teachers. He focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts... more...
This book is a collection of 65 selected papers presented at the 7th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in Espoo, Finland, in 2008. The aim of the SCEE 2008 conference was to bring together scientists from academia and industry, e.g. mathematicians, electrical engineers, computer scientists, and... more...
This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. All the most used formulations are taken into account, placing the problem in a rigorous functional framework. Nodal or edge finite elements are used for approximation. A detailed analysis of each formulation is presented,... more...
This handbook is essential for solving numerical problems in mathematics, computer science, and engineering. The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions. The author makes sinc methods accessible to potential users by limiting... more...
... more...
Pappas has come up with yet another way to make math part of your life. MATH -A-DAY is not a calendar and not a reference book, but a compendium of mathematical information that will give you your math fix everyday. Each day - kick starts your brain with a problem or puzzle with detailed solutions included has a mathematical quote to inspire... more...
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CategoriesFiles
Although these resources are categorised as Grade 12 Maths Literacy resources, you might find that some of them are suitable for other grades as well. Generally, though, the level of difficulty is quite high.
DocumentsDate added
This is a 297 page workbook for Mathematical Literacy, developed by Brombacher and Associates for the Department of Education and published in 2009. Is is aimed at FET Colleges but nothing prevents it from being used at schools. It deals with the basic skills pertaining to Numbers, Patterns and Relationships as well as Space, Shape and Orientation. The solutions to the questions are provided at the back of the workbook.
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Description: The new 20S Essential Math focuses on essential math skills for consumer, business, workplace, and trades mathematics. Topics include unit pricing and currency exchange; earning an income; linear and area measurements; temperature, mass, and volume measurements; angles and parallel lines; similar figures; and trigonometry. Lessons and assessments will include mental math; problem solving; daily practice and assignments; individual and group projects; quizzes and tests.
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Your Teacher Was Right
Think you don't use algebra in your everyday life? Then you must never have to decide how much gasoline to put in your car's tank. And that frog you dissected in biology? You probably don't work as a professional frog dissector, but you should have picked up a basic understanding of bodily systems that app...
lies directly to your own physiology
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precalculus precalculusOffering
8 subjects
including precalculus
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Miller's Calc for the Clueless: Precalc
"Bob Miller's PreCalc for the Clueless, Third Edition, "is jam-packed with tips, techniques, and surefire strategies to help students understand and ...Show synopsis"Bob Miller's PreCalc for the Clueless, Third Edition, "is jam-packed with tips, techniques, and surefire strategies to help students understand and advance in this challenging subject. In this third edition, new features include: Recent changes in the precalculus pedagogy implemented over the past seven years New sections explaining the fundamentals of algebra and trigonometry A new chapter on induction All the math needed for the new SAT Sample problems for every technique and topic
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049510941X
9780495109419
Mathematical Modeling with Maple:With an innovative approach that leverages the power of the Maple computer algebra system as an analytical tool, MATHEMATICAL MODELING WITH MAPLE offers an effective introduction to mathematical modeling of compelling real world applications. Intended for students with a background in calculus, the text shows how to formulate, build, solve, analyze, and critique models of applications in math, engineering, computer science, business, and the physical and life sciences. The book utilizes Maple for computations, plotting results graphically, and dynamically analyzing results within the modeling process. Easy-to-follow software instructions are provided, and Maple syntax in the book is also offered online as Maple workbooks allowing students to quickly and interactively work problems as they read. MATHEMATICAL MODELING WITH MAPLE helps students develop their analytical skills while harnessing the power of cutting-edge modern technology, allowing them to become competent, confident problem solvers for the 21st century.
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Rent Mathematical Modeling with Maple 1st edition today, or search our site for Fox textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning.
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Help With Math Word Problems...
[More]
nothing but numerical functions formated as word.
Make your math word problems easy now by working with our expert tutors.
Word
problems are found in all topics in math like we have algebra word problems, geometry
word problems and so on.
You can get help in all topics of math like geometry help,
calculus help, trigonometry help and so on.
Learn math with step by step explanation,
get your math homework help and math answers now!!!
How to Solve Math Word Problems?
Solving math word problems is made easy and simple with these steps.
Ask until it gets clear
Math Word Problems are all about the concepts so it is important that you are clear on [Less]
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NCERT India, as we all know, holds the key in CBSE education, right from determining the syllabus, publishing NCERT textbooks, to implementation of highest standards in the field of education in India.
LearnNext is designed as per the prescribed NCERT Maths syllabus. Besides providing a total e-learning solution to CBSE curriculum, LearnNext offers solved NCERT Exercises package with complete solution for the Mathematics from Class VI to X.
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solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.
The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students "see the math" through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. W ith the Fifth Edition, visualization is taken to a new level with technology. The authors also integrate smartphone apps, encouraging readers to visualize the math. In addition, ongoing review has been added with new Mid-Chapter Mixed Review exercise sets and new Study Guide summaries to help students prepare for testsIntended as a bridge from high school Algebra II and trigonometry to college calculus,Warren Esty's Precalculus fills the need for a text that delves deeper into the power of algebra and algebraic notation than the usual texts that emphasize calculation skills. The text includes the usual precalculus material, such as functions, powers, polynomials, logarithms, exponentials, and trigonometry, while placing special emphasis on learning how to read and use mathematical symbolism. As it is not designed for a terminal course, Precalculus offers students the tools they need to retain what they learn. For example, in addition to the usual calculation problems for practice, the text has problems that ask for an illustration, explanation, or a statement in mathematical notation, rather than solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this editionThe Eighth Edition of this highly dependable book retains its best features– accuracy, precision, depth, and abundant exercise sets– Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Counting and Probability; A Preview of Calculus; and more. For individuals with an interest in learning Precalculus as it applies to their everyday lives.
A that fosters students' understanding of the interrelationship s among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today's students. Included...
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Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises and hel pful features. The result is an easy-to-use, comprehensive text that is the best edition yet.
This edition features the exact same content as the traditional text in a convenient, three-hole-punched , loose-leaf version. Books a la Carte also offer a great value—this format costs significantly less than a new textbook. By connecting applications, modeling, and visualization, Gary Rockswold motivates students to learn mathematics in the context of their experiences. In order to both learn and retain the material, students must see a connection between the concepts and their real livesThis edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value—this format costs significantly less than a new textbook. ABooks a la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book. BobGary Rockswold teaches algebra in context, answering the question, "Why am I learning this?" By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold's focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. Introduction to Functions and Graphs; Linear Functions and Equations; Quadratic Functions and Equations; More Nonlinear Functions and Equations; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Further Topics in Trigonometry; Systems of Equations and Inequalities; Conic Sections; Further Topics in Algebra For all...
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This is the number one, best selling graphing- required version of Mike Sullivan's precalculus series because, simply, IT WORKS. Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed. This dependable text retains its best features– accuracy, precision, depth, strong reader support, and abundant exercises, while substantially updating content and pedagogy. After completing the...
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TI-Nspire Strategies: GeometryMaximize student use of the TI-Nspire while processing and learning geometric concepts with lessons that delve into the five environments of the TI-Nspire including: calculator, graphs and geometry, lists and spreadsheets, notes, and data analysis. Also included are practice pages to prepare students for testing situations that allow the use graphing calculators or handhelds as well as student guides on the Teacher Resource zip file to support English language learners.
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Mathematics
What does Mathematics A level involve?
Mathematics involves the evolution of theory to devise techniques to solve numerical problems. The subject is correctly seen as subtle, challenging and rewarding. At AS and A level the subject is split into pure and applied mathematics modules. All courses require you to study Pure (C) components. There are also applied mathematics modules covering Statistics (S) and Mechanics (M).
Pure Mathematics includes topics already met at GCSE level such as trigonometry, geometry and algebra. These topics are taken to a more advanced level and the discipline of calculus is also introduced.
Mechanics consists of topics perhaps previously associated more with Physics than with Mathematics. Students learn about forces, motion, and static equilibrium.
Statistics is a study of the collection, organisation, presentation, and analysis of data from real life problems. The aim is to model for future outcomes using probability theory. Those students wishing to study the Statistics (S2) will learn about statistical decision making through hypothesis tests.
Whom does the subject suit?
Mathematics is a useful subject in supporting studies in the Sciences, Social Sciences, Geography, and Computing. Indeed, it can also be studied for its own sake. It is fun to master sophisticated techniques and the skills acquired in logical thinking can be applied across a broad selection of academic disciplines. If you enjoy problem solving, are good at algebra and have at least an A grade in GCSE Mathematics (or an overseas equivalent) then AS/A level Mathematics could be for you.
Those students who have gained an AS in Mathematics at another school and are looking for a change, can apply to join us for the upper sixth to complete their A level in mathematics.
Further Mathematics is aimed at students who have exceptional mathematical ability (A* at GCSE or an overseas equivalent). Again those students who have completed A level Mathematics and have at least a B grade pass can apply to join the second year of the Further Mathematics course.
Who will teach me?
The mathematics tutors are very experienced teachers, dedicated, and highly qualified (amongst their ranks there are three PhDs, and two published authors). More important than the density of 'egg heads' in our team is our ability to relate to our students. Without exception we have developed ways of forming successful learning relationships with our students alongside a knack of explaining complicated concepts in straightforward terms. We are approachable, supportive and aim to maintain a happy but purposeful learning environment. Once you start studying with us you will soon discover the eclectic nature of the characters within the department. I would hate to spoil the prospective students fun by giving too much away in potted biographies. However, you can be sure that we will all demand hard work!
What can I do with my Mathematics qualification?
Both universities and employers hold an A level qualification in Mathematics in high regard. With the appropriate combination of other AS and A levels, A level Mathematics can lead to a wide variety of options when choosing higher education courses. Typical examples include Medicine, Engineering, Law, Business, Social and Political sciences, Natural sciences, and of course Mathematics itself. Similarly the employment opportunities are equally diverse.
Further Mathematics is strongly recommended for those students who wish to apply to those universities listed in the 'top ten' for such subjects as Engineering, Economics, or Mathematics.
Why study Mathematics at d'Overbroeck's?
Some of the reasons for studying mathematics at d'Overbroeck's may have been made clear to you already. The results achieved by the College in this subject over the years, without wishing to crow, are compelling. However, it is the teachers who make the Mathematics Department special. The friendly and purposeful atmosphere attracts enthusiastic and dynamic teachers who are committed to the college in the long term. This has enabled us to generate a considerable expertise in A level Mathematics teaching. We find that most students thrive in this environment and they are quick to sense that they are valued whatever their academic potential.
Frequently asked Questions:
We hope that most of them have been covered but here are some, which have not been addressed:
How much work is a student expected to do outside of lessons?
In the lower sixth students receive four lessons per week and at the end of each lesson they will be given homework. Each of these will take between 60 and 90 minutes to complete. This will go up slightly in the upper sixth.
How frequently are students tested?
Approximately once every three weeks with 'in class' tests and typically twice a term with formal mock examinations
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Geometry: Fundamental Concepts and Applications
9780321473318
ISBN:
0321473310
Edition: 1 Pub Date: 2007 Publisher: Pearson
Summary: This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.
Bass, Alan is the author of Geometry: Fundamental Concepts and Applications, published 2007 under ISBN 9780321473318 and 0321473310. Four hundred thirty two Geometry: Fundamental Conce...pts and Applications textbooks are available for sale on ValoreBooks.com, one hundred fifteen used from the cheapest price of $3.61
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books.google.co.jp - The...
PleasuresProbability
The in elementary algebra and an interest in discussions of a variety of problems and applications in probability. The style is informal, and the chapters are more like essays on a particular topic than textbook treatments. Even well-known problems are often covered in more depth than usual in order to illustrate underlying ideas. The book can be used as a text for a first course in probability or as a companion to a text. Each chapter ends with a few problems, the answers to which are given at the end of the book.
Review: The Pleasures of Probability
ユーザー レビュー - Erica - Goodreads
An easy read since I finished up a stats course last term (I got to skip most of the math explanations). It was an interesting look at probability and I think it would be a good starter book for those Pleasures of Probability The Pleasures of Probability. Richard ISAAC. New York: Springer-Verlag, 1995. ix + 241 pp. $29.50. For the past few years in the statistics education ... links.jstor.org/ sici?sici=0003-1305(199605)50%3A2%3C194%3ATPOP%3E2.0.CO%3B2-K
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Image Processing: Real-World Applications
How can we solve real-world image processing problems with Mathematica? How does Mathematica's unique dynamic functionality let you quickly optimize image processing algorithms? This course will explore some of the depth of Mathematica's image processing capabilities, how they integrate with Mathematica's other features, and how they can be combined to create powerful interactive tools.
Level: Intermediate
The course is for those who have a basic familiarity with image processing.
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Product Description
An essential tool for standardized tests, the Spectrum Math series offers grade-appropriate coverage of basic arithmetic and math skills. Each book features drill and skill practice in math fundamentals, as well as applications of mathematics in everyday settings. Chapter Pre-Tests, Chapter Tests, Mid-Book Tests and Final Tests all contribute to an extended familiarity with developmental, problem-solving and analytical exercises. An assignment record sheet, record of test scores sheet and answer key are included.
Product Reviews
Spectrum Math, 2007 Edition, Grade 4
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Fantastic book
Easy to explain and great for learning independent study.
September 23, 2013
Good for worksheets
This book is a good source for worksheets to use in addition to another teaching source. My problem with this is that it doesn't expand much on any one thing and I have had to find additional materials to go along with this.
April 2, 2013
This book gives good examples. I really like the way the book is laid out. I highly recommend this book.
November 10, 2009
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Abstract Algebra has occupied a very crucial place in Modern Mathematics. It is a continuation of Classical course in the light of the modern development in science and mathematics. Our aim in this book is basically a very simple one: to show how the familiar methods and ideas used in the analysis of "Algebra" have been and are being extended and generalized to enable more diverse mathematical systems to be analyzed. In particular the concept of factorization or decomposition into "simpler" pieces underlies essentially all of our efforts. However, before we can proceed with this programme of study we must try to establish a common starting a point and path of approach
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introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem ...Show synopsisFor introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout like the cover graphic and the cover notes that provide inspiration/motivation for slogging through this often frustrating material. The book is well organized and includes excellent graphics. Lots of homework problems with answers in back. Not quite on par with James Stewart's calculus books
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Linear Algebra
9780817642945
ISBN:
0817642943
Edition: 2 Pub Date: 2004 Publisher: Birkhauser Boston
Summary: From a review of the first edition: "A logical development of the subject . . . all the important theorems and results are discussed in terms of simple worked examples. The student's understanding . . . is tested by problems at the end of each subsection, and every chapter ends with exercises." a?CURRENT SCIENCE A cornerstone of undergraduate mathematics, science, and engineering, this clear and rigorous presentation... of the fundamentals of linear algebra is unique in its emphasis and integration of computational skills and mathematical abstractions. The power and utility of this beautiful subject is demonstrated, in particular, in its focus on linear recurrence, difference and differential equations that affect applications in physics, computer science, and economics. Key topics and features: a? Linear equations, matrices, determinants, vector spaces, complex vector spaces, inner products, Jordan canonical forms, and quadratic forms a? Rich selection of examples and explanations, as well as a wide range of exercises at the end of every section a? Selected answers and hints a? Excellent index This second edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications. The text will serve theoretical and applied courses and is ideal for self-study. With its important approach to linear algebra as a coherent part of mathematics and as a vital component of the natural and social sciences, Linear Algebra, Second Edition will challenge and benefit a broad audience.
Kwak, Jin Ho is the author of Linear Algebra, published 2004 under ISBN 9780817642945 and 0817642943. Five hundred twelve Linear Algebra textbooks are available for sale on ValoreBooks.com, one hundred three used from the cheapest price of $9.01, or buy new starting at $16.75
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Product Details
See What's Inside
Product Description
By Nathalie Sinclair, David Pimm, Melanie Skelin, Rose Mary Zbiek
Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know?
Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? ThisAbout the Series: Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don't get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers' reflection.
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800-235-7566 the essential knowledge for mathematics teachers about statistics. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings.
$36.95
Customers Who Bought This Also Bought... essential knowledge for teachers about mathematical reasoning. It is organized around one big idea, supported by multiple smaller, interconnected ideas—essential understandings.Taking you beyond a simple introduction to mathematical reasoningLike algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3–5.
"Unpacking" the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialized training, may of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Examining the science behind everyday predictions—such as why the supermarket sends particular coupons to the appropriate people and how a bank can foretell if someone will default on a loan within a few minutes—this guide explains the basics of what data mining is, details a variety of data mining and techniques, and profiles the key figures behind the data-mining process. After first demonstrating fundamental approaches such as nearest neighbor and association rules, the resource goes on to analyze probabilistic techniques that use Bayes' theorem and artificial intelligence algorithms using neural networks. With chapters on a wide range of topics—from calculating similarity to dealing with uncertainty and modeling the brain—this comprehensive volume reveals how anyone with enough information can get an intimate view of someone's life and what to do about it.
WILEY-INTERSCIENCE PAPERBACK SERIES The " . . . [a] treasure house of material for students and teachers alike . . . can be dipped into regularly for inspiration and ideas. It deserves to become a classic." --London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of the undergraduate population who want to see mathematics in action, and the mathematics used is extensive and provoking." --SIAM Review "Each chapter discusses a wealth of examples ranging from old standards . . . to novelty . . . each model is developed critically, analyzed critically, and assessed critically." --Mathematical Reviews A Concrete Approach to Mathematical Modelling provides in-depth and systematic coverage of the art and science of mathematical modelling. Dr. Mesterton-Gibbons shows how the modelling process works and includes fascinating examples from virtually every realm of human, machine, natural, and cosmic activity. Various models are found throughout the book, including how to determine how fast cars drive through a tunnel, how many workers industry should employ, the length of a supermarket checkout line, and more. With detailed explanations, exercises, and examples demonstrating real-life applications in diverse fields, this book is the ultimate guide for students and professionals in the social sciences, life sciences, engineering, statistics, economics, politics, business and management sciences, and every other discipline in which mathematical modelling plays a role.
How to apply statistical methods to survey data--a guide to effective analysis of health surveys. With large health surveys becoming increasingly available for public use, researchers with little experience in survey methods are often faced with analyzing data from surveys to address scientific and programmatic questions. This practical book provides statistical techniques for use in survey analysis, making health surveys accessible to statisticians, biostatisticians, epidemiologists, and health researchers. The authors clearly explain the theory and methods of survey analysis along with real-world applications. They draw on their work at the National Institutes of Health as well as up-to-date information from across the literature to present: The sampling background necessary to understand health surveys. The application of such techniques as t-tests, linear regression, logistic regression, and survival analysis to survey data. The use of sample weights in survey data analysis. Dealing with complications in variance estimation in large health surveys. Applications involving cross-sectional, longitudinal, and multiple cross-sectional surveys, and the use of surveys to perform population- based case-control analyses. Guidance on the correct use of statistical methods found in software packages. Extensive bibliography.
An accessible and practical introduction to wavelets With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra. The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more. Among the special features of Discovering Wavelets are: Real-life, hands-on examples that involve actual wavelet applications A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book Challenging problems that reinforce and expand on the ideas being developed An appendix containing the linear algebra needed to understand wavelets as presented in the book
An insightful presentation of the key concepts, paradigms, and applications of modeling and simulation Modeling and simulation has become an integral part of research and development across many fields of study, having evolved from a tool to a discipline in less than two decades. Modeling and Simulation Fundamentals offers a comprehensive and authoritative treatment of the topic and includes definitions, paradigms, and applications to equip readers with the skills needed to work successfully as developers and users of modeling and simulation. Featuring contributions written by leading experts in the field, the book's fluid presentation builds from topic to topic and provides the foundation and theoretical underpinnings of modeling and simulation. First, an introduction to the topic is presented, including related terminology, examples of model development, and various domains of modeling and simulation. Subsequent chapters develop the necessary mathematical background needed to understand modeling and simulation topics, model types, and the importance of visualization. In addition, Monte Carlo simulation, continuous simulation, and discrete event simulation are thoroughly discussed, all of which are significant to a complete understanding of modeling and simulation. The book also features chapters that outline sophisticated methodologies, verification and validation, and the importance of interoperability. A related FTP site features color representations of the book's numerous figures. Modeling and Simulation Fundamentals encompasses a comprehensive study of the discipline and is an excellent book for modeling and simulation courses at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners in the fields of computational statistics, engineering, and computer science who use statistical modeling techniques.
This book provides a broad, mature, and systematic introduction to current financial econometric models and their applications to modeling and prediction of financial time series data. It utilizes real-world examples and real financial data throughout the book to apply the models and methods described. The author begins with basic characteristics of financial time series data before covering three main topics: Analysis and application of univariate financial time series The return series of multiple assets Bayesian inference in finance methods Key features of the new edition include additional coverage of modern day topics such as arbitrage, pair trading, realized volatility, and credit risk modeling; a smooth transition from S-Plus to R; and expanded empirical financial data sets. The overall objective of the book is to provide some knowledge of financial time series, introduce some statistical tools useful for analyzing these series and gain experience in financial applications of various econometric methods.
Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction—illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.—that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression.In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest.The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and eleme
This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp properties of solutions to a wide class of heat equations that have been developed over the last fifteen years. These primarily concern the interplay of heat equations in functional analysis, spectral theory and mathematical physics.This book addresses new developments and applications of Gaussian upper bounds to spectral theory. In particular, it shows how such bounds can be used in order to prove Lp estimates for heat, Schrödinger, and wave type equations. A significant part of the results have been proved during the last decade.The book will appeal to researchers in applied mathematics and functional analysis, and to graduate students who require an introductory text to sesquilinear form techniques, semigroups generated by second order elliptic operators in divergence form, heat kernel bounds, and their applications. It will also be of value to mathematical physicists. The author supplies readers with several references for the few standard results that are stated without proofs.
Guesstimation is a book that unlocks the power of approximation—it's popular mathematics rounded to the nearest power of ten! The ability to estimate is an important skill in daily life. More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything—quickly—using plausible assumptions and elementary arithmetic. Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones—and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.
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Product Description
BJU Press' Geometry text walks the student step-by-step through the basic concepts of angles and degrees, as well as more complex proofs and theorems. Brief chapter introductions and photographs bring in an element of real-world practicality, while biblically based material is also used to shed light on the purpose of geometry. Example exercises provide additional help in recognizing theories, and instructions are given for each new concept; exercises follow, and are given in sets, with a cumulative review finishing off each unit. Concepts covered include incidence geometry; subsets; segments & measurement; angles and measurement; proofs; area; volume; symmetry; trigonometry and more. Glossary, index and odd-numbered answers are also included. 660 pages, softcover.
This resource is also known as Bob Jones Geometry Student Text, Grade 10, 3rd Edition.
Product Reviews
BJU Geometry Student Text, Grade 10, Third Edition
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I tried to take this course and i couldn't understand what they were trying to teach me! I usually like BJU curriculum, but their geometry book didn't explain anything very well and left me confused most of the time. I do not recommend this to anyone whose strong point is not math!
April 9, 2010
This is not a good book to buy.The theorems, postulates and definitions are almost impossible to find for future use. I do not recommend this.
April 3, 2008
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This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete...
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This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley and Winston Crawley. Requires Adobe Flash player.
IP Explorer enables branch and bound using the simplex method to be applied to an integer programming (IP) problem. The...
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IP Explorer enables branch and bound using the simplex method to be applied to an integer programming (IP) problem. The strategy for branching is choosing the appropriate variable Xi which is closest to being the smallest integer but greater than Xi.IP Explorer is of particular value for problems with 2 variables when the branching process can be interpreted graphically.
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Prealrealgebra, 4/e, helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the rest of the text. This text\'s single greatest strength is the Aufmann Interactive Method, which enables students to work with the math concepts as they\'re being introduced. In addition, the text strongly emphasizes the AMATYC standards, with a special focus on real-sourced data. New! AIM for Success Student Preface explains how students can achieve success using this text, and walks them through the use of specific supportive features. Prep Tests at the beginning of each chapter focus on the particular prerequisite skills that will be used in the upcoming chapter. Go Figure problems are puzzles designed to engage students in problem solving. Aufmann Interactive Method provides students with an opportunity to try a skill as it is presented. Each section is divided into objectives, and every objective contains one or more sets of matched-pair examples. The first example in each set is worked out; the second example, called You Try It, requires students to actively practice concepts as they are presented in the text. Complete worked-out solutions to these examples are in the appendix, providing immediate feedback and reinforcement. Engaging chapter-opening photos illustrate and reference a specific mathematical application from the chapter. Short-answer Critical Thinking exercises and writing exercises at the end of each section reinforce understanding by encouraging students to think about or review an important concept presented in the lesson. All of the Exercise Sets emphasize skill building, skill maintenance, and applications. End-of-chapter support includes Focus on Problem Solving, which introduces students to various problem-solving strategies, and Projects & Group Activities, which include such varied applications as music, the stock market, earned run averages, buying a car, and nutrition. Throughout the text, data problems have been updated to reflect current data and trends. These application problems demonstrate for students the variety of problems that require mathematical analysis. Instructors can use many of these problems to lead interesting class discussions. Take Note margin notes alert student to a point requiring special attention or amplify the concept under discussion. Point of Interest margin notes contain interesting sidelights about mathematics, its history, or its application. Calculator Notes provide suggestions for using a calculator in certain situations. Calculator icons in both the Student Edition and Instructor\'s Annotated Edition indicate exercises that require a calculator. For ease of navigation and flexibility in choosing applications, an Index of Application appears on the inside front cover, and a chapter-by-chapter index of application problems can be found in the Table of Contents. Chapter Review Exercises at the end of each chapter help students integrate all of the topics presented in the chapter. A two-page Chapter Test provides students with the opportunity to test their understanding of the material and to diagnose their weaknesses. Cumulative Review Exercises help students maintain skills learned in previous chapters. Revised! Chapter S
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Montara TrigonometryAlgebra is continually reviewed and used throughout the course. Prealgebra is a very important subject since it is the foundation for a new language, the language of algebra. Since algebra simply imitates your knowledge or how to use and apply numbers, the next step is simply using "x" instead of the number.Although th...
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Basic Mathematics (Collins College Outlines)
Basic Mathematics (Collins College Outlines) : From fractions, decimals, and geometric measurement to exponents, scientific notation, and an introduction to algebra, the Collins College Outline in Basic Mathematics explores and explains the topics that students will find in introductory mathematics classes. Completely revised and updated by Dr. Lawrence Trivieri, Basic Mathematics includes a test yourself section with answers and complete explanations at the end of each chapter. Also included are bibliographies for further reading, as well as numerous graphs, charts, and example problems.
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Topology
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. ...Show synopsisIn this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.Hide synopsis
Description:New. This item is printed on demand. In this broad introduction...New. This item is printed on demand. In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and line
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Challenge students to aim higher in mathematics by exploring advanced-level equations and theories. The approachable and engaging format of this 6-part series conveys simple #11;techniques, how to simplify equations, solution checking, different..
From mean, median, and mode to distribution curves and random variables, students will learn everything necessary to become comfortable and confident statisticians. This 9-title series will aid in the retention of key concepts by making statistics a..
Grade 4 and up. Understanding equations and solving word problems has never been easier or more fun! Introducing algebra through balanced scales is a natural and exciting way to conceptually master fundamental algebraic ideas. The book's visu..
This 14-lesson series introduces each concept in an easy-to-understand way and by using example problems that are worked out step-by-step and line-by-line to completion. Includes Permutations (79 minutes); Combinations #11;(4..
Having trouble engaging your algebra students? This set of PowerPoint® slides highlights student-centered situations to teach algebra. The problems are rigorous enough to require true problem-solving and accessible enough to allow all stude..
Ideal for quick reinforcement or to fill a spare bit of time! The targeted problems directly address Common Core State Standards and Mathematical Practices. Each problem builds problem-solving skills and strengthens understanding of key concepts. 13..
GRADES 9-12. Ideal for quick reinforcement or to fill a spare bit of time! The targeted problems directly address Common Core State Standards and Mathematical Practices. Each problem builds problem-solving skills and strengthens understandi..
An assortment of 6 releasable, adhesive-backed 3" x 3" graph paper pads mounted on 8-1/2" x 11" card stock. The pads and card stock can be stored in a 3-ring binder. Instructions are on the back of the card stock. Each pad ha..
Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States. Orders from outside the
United States may be charged additional distributor, customs, and shipping charges.
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books.google.co.jp - Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description... for the Working Mathematician
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How to Teach Mathematics - 2nd edition
Summary: This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues.
Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. ...show moreHe also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner.
Only lightly used. Book has minimal wear to cover and binding. A few pages may have small creases and minimal underlining. Book selection as BIG as Texas.
$9.62 +$3.99 s/h
VeryGood
TEXTBOOKS4LESS OH KENT, OH
1999 Paperback Very good 2nd Edition-Inside is clean-Minimal wear to cover-Great deal!
$2121.90 +$3.99 s/h
Good
Campus_Bookstore Fayetteville, AR
Used - Good TEXTBOOK ONLY23.03 +$3.99 s/h
New
Textbook Charlie Nashville, TN
Brand New! Ships same day or next business day. Free USPS Tracking Number. Excellent Customer Service. Ships from TN
1999-01-01 Paperback Good Expedited shipping is available for this item!
$30.00 +$3.99 s/h
New
Sequitur Books Boonsboro, MD
Brand new. We distribute directly for the publisher. This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classr...show moreoom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues.Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner.
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PCI Ed's Algebra City Covers 28 Common Gaps in Student Understanding
By Dian Schaffhauser
06/26/12
PCI Education, a company that develops curriculum products, has published a set of learning materials specifically for kids in grades eight through 10 having trouble with Algebra 1 concepts. "Algebra City" is a set of four workbooks that address 28 common algebraic misconceptions using a graphic novel approach and web-based practice problems. According to the company, the program is intended to be used not for standard curriculum but for intervention, pinpointing areas where students are struggling.
The materials consist of four student editions, each one covering seven of the 28 topics, as well as a teacher set with an assessment CD, a teacher resource CD, and access to the interactive activities.
An ExamView Assessment Suite includes pre- and post-tests for the program, the book, and individual unit levels, as well as an item bank and test generator, and reporting features.
"Too often, students struggle to learn critical algebra skills they need both inside and outside the classroom," said Lee Wilson, president and CEO of PCI Education. "Algebra City is targeted intervention that encourages students to reconnect to algebra in one or more areas of misunderstanding, while allowing teachers to leverage the investment in their core algebra curriculum."
A classroom starter pack is priced at $599.95 and includes the teacher's kit and a five-pack of student editions, which has five copies of each of the four books in the series
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