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Mathematics in Action : An Introduction to Algebraic, Graphical, and Numerical Problem Solving,9780201660418
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Mathematics in Action : An Introduction to Algebraic, Graphical, and Numerical Problem Solving

by
ISBN13:

9780201660418

ISBN10:
0201660415
Format:
Paperback
Pub. Date:
1/1/2001
Publisher(s):
Addison Wesley

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Summary

This introductory algebra text, based on standards in the AMATYC Crossroads document, motivates college math students to develop mathematical literacy and a solid foundation for future study in mathematics and other disciplines. This first 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. Therefore, 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

Number Sense
Using Number Sense to Solve Problems
The Bookstore
1(2)
Time Management
3(5)
Course Grades and Your GPA
8(6)
The Electric Bill
14(5)
You and Your Calculator
19(10)
Target Heart Rate
29(2)
Income and Expenses
31(7)
What Have I Learned?
38(1)
How Can I Practice?
39(3)
Problem Solving with Fractions
How Much Do I Owe?
42(6)
Fractions Invade Campus Life
48(3)
Delicious Recipes
51(3)
What Have I Learned?
54(1)
How Can I Practice?
54(2)
Exploring Numeracy
56(1)
Comparisons and Proportional Reasoning
Which One Is Better?
57(6)
Social Issues
63(11)
Did You Buy Enough Paint?
74(5)
Uncle Sam's Place
79(6)
Grade Point Averages: Who Improved More?
85(8)
Take an Additional 10% Off
93(5)
What Have I Learned?
98(1)
How Can I Practice?
99(5)
Skills Check 1
104(3)
Problem Solving with Signed Numbers
Celsius Thermometers
107(11)
Gains and Losses in Business
118(5)
Order of Operations Revisited
123(6)
What Have I Learned?
129(3)
How Can I Practice?
132(3)
Problem Solving with Geometry
Geometric Shapes
135(7)
Home Improvements
142(5)
Circles are Everywhere
147(4)
A New Pool
151(2)
Carpenter's Square
153(3)
Septic Tank
156(2)
Basketballs, Soup Cans, Boxes, and Ice Cream Cones
158(2)
Exploring Numeracy
160(1)
Another New Pool
161(2)
What Have I Learned?
163(1)
How Can I Practice?
164(3)
Skills Check 2
167(4)
Gateway Review
171(6)
Variable Sense
Interpreting and Constructing Tables and Graphs
Blood-Alcohol Levels
177(7)
College Expenses
184(5)
Earth's Temperature
189(9)
How Many Cups Are in That Stack?
198(1)
Body Parts
199(1)
What Have I Learned?
200(1)
How Can I Practice?
201(3)
Solving Equations Numerically, Graphically, and Algebraically
The Write Way to Learn Algebra
204(9)
Cub Scout Fund-Raiser
213(7)
Let's Go Shopping
220(6)
Are They the Same?
226(6)
Weather Fahrenheit or Celsius
232(6)
Tables of Tables
238(4)
Depth of Snow Deposit
242(4)
New Formulas from Old
246(9)
What Have I Learned?
255(2)
How Can I Practice?
257(5)
Mathematical Modeling Involving Algebraic Expressions
Do It Two Ways
262(10)
Ring It Up!
272(7)
Math Magic
279(6)
More Room for Work
285(5)
What Have I Learned?
290(1)
How Can I Practice?
291(4)
Problem Solving Involving Solution of Equations
Building Fences
295(8)
Refrigeration
303(6)
The Forces That Be
309(7)
Summer Job Opportunities
316(3)
What Have I Learned?
319(1)
How Can I Practice?
320(5)
Gateway Review
325(10)
Function Sense
Exploring Functions
Course Grade
335(9)
Graphs Tell Stories
344(5)
The Dangers of Asthma
349(7)
What Have I Learned?
356(1)
How Can I Practice?
357(5)
Modeling with Functions
How Fast Did You Lose?
362(7)
Nuclear Arsenals Shrinking
369(6)
Inflation
375(4)
Apple Orchard
379(6)
Electricity Charges
385(2)
What Have I Learned?
387(1)
How Can I Practice?
388(9)
Gateway Review
397(6)
Linear Functions
Introduction to Linear Functions
The Snowy Tree Cricket
403(6)
Descending in an Airplane
409(9)
Charity Event
418(6)
Super Bowl Commercials
424(7)
What Have I Learned?
431(1)
How Can I Practice?
432(7)
Problem Solving with Linear Functions
Predicting Population
439(4)
Housing Prices
443(6)
Oxygen for Fish
449(6)
What Have I Learned?
455(1)
How Can I Practice?
456(8)
Systems of Linear Equations
Business Checking Account
464(4)
Modeling a Business
468(5)
Supply and Demand
473(3)
What Have I Learned?
476(1)
How Can I Practice?
476(3)
Gateway Review
479(8)
Quadratic Functions
Quadratic Functions
Newton's Apple
487(6)
Rockets in Flight
493(5)
More Rockets in Flight
498(7)
Maximal Enclosure
505(8)
Roots in the Garden
513(6)
What Have I Learned?
519(1)
How Can I Practice?
520
Appendix A: Fractions A-1
Appendix B: Decimals A-7
Appendix C: Algebraic Extensions A-15
Appendix D: The TI-83 Graphing Calculator A-25
Selected Answers A-39
Glossary A-45
Index A-51


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