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Mathematics in Action : Algebraic, Graphical, and Trigonometric Problem-Solving,9780201660432
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Mathematics in Action : Algebraic, Graphical, and Trigonometric Problem-Solving

by
Edition:
1st
ISBN13:

9780201660432

ISBN10:
0201660431
Format:
Paperback
Pub. Date:
1/1/2001
Publisher(s):
Addison Wesley

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Summary

This intermediate algebra text, based on standards in the AMATYCCrossroads document, motivates college math students to develop mathematical literacy and a solid foundation for future study in mathematics and other disciplines. This second book of a two-book series presents mathematical concepts and skills through relevant activities derived from real-life situations; these activities are meaningful to students because they illustrate how mathematics arises naturally from real-world situations and problems. Mathematics in Action is based on the assumption that students learn mathematics best by deriving concepts themselves in a meaningful context. The text takes a collaborative approach to learning. Students take an active role in their own learning by working in groups, thereby developing communication skills, a sense of independence, and a can-do attitude about mathematics. Technology is integrated throughout the book so that students can learn to interpret real-life data numerically, symbolically, and graphically. Regardless of their level of preparation for the course, students can use this text to increase their knowledge of mathematics, their problem-solving skills, and their overall confidence in their ability to learn.

Table of Contents

Function Sense
Modeling with Functions
Parking Problems
1(7)
Fill 'er Up
8(6)
Skid Marks
14(7)
Graphs Tell Stories
21(3)
What Have I Learned?
24(1)
How Can I Practice?
25(4)
Linear Functions
Walking for Fitness
29(6)
Car Speed
35(11)
A Visit to the Architect
46(7)
Skateboard Heaven
53(6)
College Tuition
59(6)
Reading a Movie
65(3)
What Have I Learned?
68(1)
How Can I Practice?
69(5)
Systems of Linear Equations and Absolute Value Functions
Car Speed Revisited
74(9)
Sam's Cafe
83(5)
Long Distance by Phone
88(5)
How Much Can You Tolerate?
93(9)
What Have I Learned?
102(1)
How Can I Practice?
103(3)
Probability Functions and Statistical Reasoning
The Class Survey
106(8)
Chances Are!
114(9)
Choices
123(6)
A Switch Decision
129(8)
What Have I Learned?
137(1)
How Can I Practice?
138(3)
Gateway Review
141(14)
The Algebra of Functions
Addition, Subtraction, and Multiplication of Functions
Spending and Earning Money
155(8)
Viewing the Algebra of Functions
163(4)
How Does Your Garden Grow?
167(7)
What Have I Learned?
174(1)
How Can I Practice?
175(3)
Composition and Inverse of Functions
Inflated Balloons
178(4)
Finding a Bargain
182(5)
The Square of a Cube
187(6)
Study Time
193(5)
Temperature Conversions
198(7)
Error Checking
205(2)
What Have I Learned?
207(1)
How Can I Practice?
208(5)
Gateway Review
213(8)
Exponential and Logarithmic Functions
Exponential Functions
The Summer Job
221(9)
Investment Clubs
230(9)
Population Growth
239(7)
Photocopying Machines
246(3)
Compound Interest
249(8)
College Graduates
257(5)
What Have I Learned?
262(1)
How Can I Practice?
263(3)
Logarithmic Functions
The Foolish King
266(7)
The National Pastime
273(8)
The Elastic Ball
281(5)
The Coroner's Office
286(6)
Prison Growth
292(5)
Frequency and Pitch
297(4)
What Have I Learned?
301(2)
How Can I Practice?
303(2)
Gateway Review
305(6)
Quadratic and Higher-Order Polynomial Functions
Introduction to Quadratic Functions
Baseball throughout the Solar System
311(7)
Galileo and the Quadratic Function
318(5)
The Shot Put
323(6)
What Have I Learned?
329(2)
How Can I Practice?
331(3)
Problem Solving Using Quadratic Functions
Personal Computers
334(5)
Sir Isaac Newton XIV
339(7)
Complex Numbers
346(5)
Airfare
351(4)
Chemical-Waste Holding Region
355(2)
What Have I Learned?
357(1)
How Can I Practice?
358(3)
Curving Fitting and Higher-Order Polynomial Functions
The Population of Cleveland
361(5)
The Power of Power Functions
366(7)
Hot-Air Balloons
373(5)
Stolen Bases
378(5)
Finding the Maximum Volume
383(2)
What Have I Learned?
385(1)
How Can I Practice?
386(5)
Gateway Review
391(4)
Rational and Radical Functions
Rational Functions
Speed Limits
395(7)
Loudness of Sound
402(9)
Percent Markup
411(7)
Blood-Alcohol Levels
418(8)
What Have I Learned?
426(1)
How Can I Practice?
427(5)
Radical Functions and Equations
Hang Time
432(7)
Falling Objects
439(6)
Take a Hike
445(6)
What Have I Learned?
451(1)
How Can I Practice?
452(3)
Gateway Review
455(6)
Introduction to the Trigonometric Functions
Introducing the Sine, Cosine, and Tangent Functions
The Leaning Tower of Pisa
461(9)
A Gasoline Problem
470(5)
The Sidewalks of New York
475(5)
Solving a Murder
480(4)
How Stable Is That Tower?
484(2)
Climbing a Mountain
486(5)
Seeing Abraham Lincoln
491(3)
What Have I Learned?
494(3)
How Can I Practice?
497(2)
Why Are the Trigonometric Functions Called Circular?
Learn Trigonometry or Crash!
499(8)
It Won't Hertz
507(6)
Get in Shape
513(5)
Speeding Up
518(5)
Running with a Friend
523(5)
What Have I Learned?
528(1)
How Can I Practice?
529(4)
Gateway Review
533
Appendix A Concept Review A-1
Appendix B Trigonometry A-35
Appendix C The TI-83 Graphing Calculator A-45
Selected Answers A-65
Glossary A-81
Index A-87


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