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Mathematics in Action 2

ISBN: 9780201383188 | 0201383187
Format: Paperback
Publisher: Addison-Wesley
Pub. Date: 12/1/1998

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SummaryTable of Contents
This book empowers students to develop mathematical literacy in the real world and is a solid foundation for future study in mathematics and other disciplines. This first book, of a two book series, supports the need for mathematics through real life applications that are relevant to students. It is filled with real world situations in which the crucial need for mathematics arises.
... MORE
Functions Sense and Linear Functions
Introduction to Functions
Parking Problem Topic: Introduction to Functions
1(8)
Fill'er up Topic: Function Terminology and Notation
9(5)
Length of Skid Marks Topic: Modeling Data with Functions
14(11)
Graphs Tell Stories Topic: Interpreting Graphs of Functions
25(3)
What Have I Learned?
28(1)
How Can I Practice?
29(4)
Introduction to Linear Functions
Walking for Fitness Topic: Rate of Change
33(8)
Car Speed Topic: Linear Functions and Slope
41(11)
Skateboard Heaven Topic: General and Slope-Intercept Form of Linear Equations
52(6)
Long Distance by Phone Topic: Piecewise Linear Functions
58(6)
Presidential Election Pool Topic: Absolute Value Functions
64(6)
What Have I Learned?
70(2)
How can I Practice?
72(6)
Regression Lines and Systems of Linear Equations
College Tuition Topics: Modeling a Line of Best Fit with a Straightedge, Goodness of Fit
78(5)
Reading a Movie Topic: Linear Regression
83(11)
Car Speed Revisited Topic: 2 X 2 Linear Systems---Solving Graphically, Numerically, Graphically, and Algebraically
94(2)
What Have I Learned?
96(1)
How Can I Practice?
97(2)
Gateway Review
99(8)
The Algebra of Functions
Addition, Subtraction, and Multiplication of Functions
Van-Rental Costs Topic: Addition of Functions
107(5)
The Kennel Topic: Subtraction of Functions---Maximum Profit
112(2)
Adding Functions Graphically Topic: Adding Functions Graphically
114(5)
How Does Your Garden Grow? Topic: Products of Functions---Multiplication of Polynomials
119(7)
What Have I Learned?
126(1)
How Can I Practice?
127(4)
Composition and Inverse of Functions
Inflated Balloons Topic: Composition of Functions
131(4)
The Winter Sale Topics: Topics: Composition of Functions, Properties of Exponents
135(5)
Error Checking Topic: Composition of Functions
140(2)
Temperature Conversions Topic: Introduction to Inverse Functions
142(4)
Study Time Topic: Inverse Functions
146(7)
What Have I Learned?
153(2)
How Can I Practice?
155(4)
Gateway Review
159(2)
Quadratic and Higher Order Polynomial Functions
Introduction to Quadratic Functions
Baseball throughout the Solar System Topic: Introduction to Quadratic Functions and Their Graphs
161(8)
Analyzing the Quadratic Function, f(x)=ax2+bx+c Topic: The Roles of a, b, and c
169(5)
The Shot Put Topics: Modeling Using the Quadratic Function, Special Features of Parabolas
174(8)
What Have I Learned?
182(4)
How Can I Practice?
186(3)
Problem Solving Using Quadratic Functions
Personal Computers Topic: Quadratic Equations---Solving Graphically and Numerically
189(7)
Sir Isaac Newton XIV Topics: Quadratic Equations---Solving Algebraically by Factoring, Quadratic Formula
196(7)
Complex Numbers Topic: Complex Numbers
203(5)
Airfare Topics: Building a Quadratic Model as a Product of Linear Models, Analyzing a Model Contextually
208(5)
Chemical-Waste Holding Region Topic: Problem Solving Using Quadratic Functions
213(3)
What Have I Learned?
216(1)
How Can I Practice?
217(3)
Curve Fitting and Higher Order Polynomial Functions
The Population of Cleveland Topic: Curve Fitting
220(5)
The Power of Power Functions Topic: Power Functions---Combinations of Power Functions
225(7)
Hot-Air Balloon Topic: Polynomial Functions and Their Graphs
232(5)
Stolen Bases Topics: Curve Fitting, General Properties of Cubics and Quartics
237(6)
Finding the Maximum Volume Topic: Problems Solving Using Polynomial Functions
243(2)
What Have I Learned?
245(2)
How Can I Practice?
247(5)
Gateway Review
252(3)
Rational and Radical Functions
Rational Functions
Speed Limits Topic: Properties of Graphs of the Form
255(9)
Loudness of a Sound Topic: Functions of the Form
264(8)
Percent Markup Topic: Rational Functions of the Form
272(8)
What Have I Learned?
280(1)
How Can I Practice?
281(2)
Applications and Rational Equations
Weightlessness Topics: Application of Rational Functions, Solving Rational Equations
283(6)
Traffic Flow Topic: Rates and Rational Equations
289(5)
Blood-Alcohol Levels Topic: Application of Rational Functions
294(8)
Electrical Circuits Topics: Solving Literal Rational Equations, Complex Fractions
302(6)
What Have I Learned?
308(1)
How Can I Practice?
309(4)
Radical Functions and Equations
Hang Time Topics: Radical Functions, Roots and Fractional Exponents, Properties of Graphs
313(9)
Cube Roots and Volume Topics: Cube Root Functions, Inverse Functions, nth Roots
322(6)
Falling Objects Topic: Solving Equations Involving Radicals
328(6)
What Have I Learned?
334(1)
How Can I Practice?
335(3)
Gateway Review
338(5)
Exponential and Logarithmic Functions
Introduction to Exponential Functions
Active 5.1 Summer Job
Topic: Introduction to Exponential Functions
343(10)
Active 5.2 Investment Clubs
Topics: Exponential Functions Growth Factor, Doubling and Halving Time
353(8)
Population Growth Topics: Population Growth Annual Rate of Increase, Estimating from a Model
361(6)
Compound Interest Topics: Exponential Growth, Continuous Growth Rate, Natural Base e
367(6)
What Have I Learned?
373(2)
How Can I Practice?
375(2)
Introduction to Logarithmic Functions
The Foolish King Topic: Introduction to Logarithmic Functions
377(6)
The National Pastime Topics: Logarithmic Functions, Modeling Data
383(6)
Decibels Topic: Applications and Properties of Logarithmic Functions
389(5)
Stereo Amplifiers Topic: Applications and Properties of Logarithmic Functions
394(5)
Frequency and Pitch Topics: Applications of Logarithmic Functions, Solving Logarithmic Equations
399(4)
Prison Growth Topics: Exponential Growth, Solving Exponential Equations
403(6)
What Have I Learned?
409(3)
How Can I Practice?
412(3)
Gateway Review
415(6)
Introduction to the Trigonometric Functions
Introduction to the Sine, Cosine, and Tangent Functions
Surviving in Central Park Topics: Vectors, Sine, Cosine
421(5)
The Sidewalks of New York Topics: Right-Triangle Trigonometry, Tangent, Inverse Tangent
426(4)
Measuring Triangles and Trigonometry Topics: Measurement, Right-Triangle Trigonometry
430(3)
How Stable Is That Tower? Topic: Right-Triangle Trigonometry
433(2)
What Have I Learned?
435(2)
How Can I Practice?
437(2)
Problem Solving Using Sine, Cosine, and Tangent Functions
Solving a Murder Topic: Right-Triangle Trigonometry
439(2)
Climbing a Mountain Topics: Right-Triangle Trigonometry, Solving Algebraic Equations, Problem-Solving Heuristics
441(2)
Constructing a Feeding Trough Topics: Right-Triangle Trigonometry, Graphing, Optimization by Using Graphs and Tables
443(3)
Seeing Abraham Lincoln Topics: Right-Triangle Trigonometry, Inverses of Trigonometric Functions, Geometric Drawing, Optimization by Analyzing Graphs and Tables
446(3)
Road Layout Topics: Geometry of the Circle, Right-Triangle Trigonometry, Transforming Coordinate Systems
449(5)
What Have I Learned?
454(1)
How Can I Practice?
455(2)
Why Are the Trigonometric Functions Called Circular?
Learn Trigonometric or Crash! Topic: Sine and Cosine as Circular Functions
457(8)
It Won't Hertz Topics: Periodic Behavior of Alternating Current, Radian-Angle Measure
465(5)
Highs and Lows in the Big Apple Topic: Periodic of Behavior of Average Daily Temperature
470(3)
Get in shape Topic: Amplitude of y = a sin x and y = a cos x
473(7)
Speeding Up Topic: Period of y = a sin (bx) and y = a cos (bx)
480(6)
Running with a Friend Topic: Displacement of y = a sin (bx + c) and y = a cos (bx + c)
486(5)
What Have I Learned?
491(7)
How Can I Practice?
498(3)
Gateway Review
501
Appendix A Concept ReviewA-1
Appendix B TrigonometryA-33
Appendix C The TI-83 Graphing CalculatorA-43
GlossaryA-59
Answers to Gateway Review ProblemsA-63
IndexI-1

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