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Mathematics in Action : Prealgebra Problem Solving,9780321446121
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Mathematics in Action : Prealgebra Problem Solving

by
Edition:
2nd
ISBN13:

9780321446121

ISBN10:
0321446127
Format:
Paperback
Pub. Date:
1/1/2008
Publisher(s):
Addison Wesley

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Summary

Key Message: The first book of a three-part series,Prealgebra 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 reg; and MyMathLabtrade; 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, numerically, 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: Whole Numbers and Problem Solving; Variables and Problem Solving; Problem Solving with Rational Number: Addition and Subtraction of Integers, Fractions, and Decimals; Adding and Subtracting Integers; Adding and Subtracting Fractions; Adding and Subtracting Decimals; Multiplication and Division of Rational Numbers; Multiplying and Dividing Integers; Multiplying and Dividing Fractions; Multiplying and Dividing Decimals; Problem Solving with Ratios, Proportions, and Percents; Problem Solving with Geometry; The Geometry of Two-Dimensional Plane Figures; The Geometry of Three-Dimensional Space Figures; More Problem Solving with Algebra and Models; Mathematical Modeling and Problem Solving Involving Solution of Equations Market: For all readers interested in Prealgebra, Algebra.

Table of Contents

Prefacep. xv
Whole Numbersp. 1
Education Paysp. 1
Objectives
Read and write whole numbers
Compare whole numbers using inequality symbols
Round whole numbers to specified place values
Use rounding for estimation
Classify whole numbers as even or odd, prime, or composite
Solve problems involving whole numbers
Bald Eagle Population Increasing Againp. 10
Objectives
Read tables
Read bar graphs
Interpret bar graphs
Construct graphs
Bald Eagles Revisitedp. 19
Objectives
Add whole numbers by hand and mentally
Subtract whole numbers by hand and mentally
Estimate sums and differences using rounding
Recognize the associative property and the commutative property for addition
Translate a written statement into an arithmetic expression
Summer Campp. 31
Objectives
Multiply whole numbers and check calculations using a calculator
Multiply whole numbers using the distributive property
Estimate the product of whole numbers by rounding
Recognize the associative and commutative properties for multiplication
College Suppliesp. 39
Objectives
Divide whole numbers by grouping
Divide whole numbers by hand and by calculator
Estimate the quotient of whole numbers by rounding
Recognize the noncommutative property for division
Reach for the Starsp. 49
Objectives
Use exponential notation
Factor whole numbers
Determine the prime factorization of a whole number
Recognize square numbers and roots of square numbers
Recognize cubed numbers
Apply the multiplication rule for numbers in exponential form with the same base
You and Your Calculatorp. 59
Objectives
Use order of operations to evaluate arithmetic expressions
Use order of operations to evaluate formulas involving whole numbers
What Have I Learned?p. 67
How Can I Practice?p. 71
Summaryp. 77
Gateway Reviewp. 83
Variables and Problem Solvingp. 91
How Much Do I Need to Buy?p. 91
Objectives
Recognize and understand the concept of a variable in context and symbolically
Translate a written statement (verbal rule) into a statement involving variables (symbolic rule)
Evaluate variable expressions
Apply formulas (area, perimeter, and others) to solve contextual problems
How High Will It Go?p. 101
Objectives
Recognize input/output relationship between variables in a formula or equation (two variables only)
Evaluate variable expressions in formulas and equations
Generate a table of input and corresponding output values from a given equation, formula, or situation
Read, interpret, and plot points in rectangular coordinates that are obtained from evaluating a formula or equation
Are You Balanced?p. 110
Objectives
Translate contextual situations and verbal statements into equations
Apply the fundamental principle of equality to solve equations of the forms x + a = b, a + x = b and x - a = b
How Far Will You Go? How Long Will It Take?p. 117
Objectives
Apply the fundamental principle of equality to solve equations of the form ax = b, a [NotEqual] 0
Translate contextual situations and verbal statements into equations
Use the relationship rate [Middot] time = amount in various contexts
Web Devices for Salep. 24
Objectives
Identify like terms
Combine like terms using the distributive property
Solve equations of the form ax + bx = c
Make Me an Offerp. 130
Objectives
Use the basic steps for problem solving
Translate verbal statements into algebraic equations
Use the basic principles of algebra to solve real-world problems
What Have I Learned?p. 138
How Can I Practice?p. 139
Summaryp. 143
Gateway Reviewp. 147
Problem Solving with Rational Numbers: Addition and Subtraction of Integers, Fractions, and Decimalsp. 151
Adding and Subtracting Integers
On the Negative Sidep. 151
Objectives
Identify integers
Represent quantities in real-world situations using Integers
Compare integers
Calculate absolute value of integers
Maintaining Your Balancep. 159
Objectives
Add and subtract integers
Identify properties of addition and subtraction of integers
What's the Bottom Line?p. 168
Objectives
Write formulas from verbal statements
Evaluate expressions in formulas
Solve equations of the form X + b = c and b - x = c
Solve formulas for a given variable
Riding in the Windp. 175
Objectives
Translate verbal rules into equations
Determine an equation from a table of values
Use a rectangular coordinate system to represent an equation graphically
What Have I Learned?p. 183
How Can I Practice?p. 185
Adding and Subtracting Fractions
Are You Hungry?p. 191
Objectives
Identify the numerator and denominator of a fraction
Determine the greatest common factor (GCF)
Determine equivalent fractions
Reduce fractions to equivalent fractions in lowest terms
Convert mixed numbers to improper fractions and improper fractions to mixed numbers
Determine the least common denominator (LCD) of two or more fractions
Compare fractions
Food for Thoughtp. 203
Objective
Add and subtract fractions and mixed numbers with the same denominators
Math Is a Tripp. 210
Objectives
Determine the least common denominator (LCD) for two or more fractions
Add and subtract fractions with different denominators
Solve equations in the form x + b = c and x - b = c that involve fractions
What Have I Learned?p. 217
How Can I Practice?p. 219
Adding and Subtracting Decimals
What Are You Made Of?p. 223
Objectives
Identify place values of numbers written in decimal form
Convert a decimal to a fraction or a mixed number
Compare decimals
Read and write decimals
Round decimals
Think Metricp. 231
Objectives
Know the metric prefixes and their decimal values
Convert measurements between metric quantities
Dive into Decimalsp. 235
Objectives
Add and subtract decimals
Compare and interpret decimal numbers
Boiling, Freezing, and Financial Aidp. 240
Objectives
Add and subtract positive and negative decimal numbers
Interpret and compare decimal numbers
Solve equations of the type x + b = c and x - b = c involving decimal numbers
What Have I Learned?p. 246
How Can I Practice?p. 247
Summaryp. 251
Gateway Reviewp. 255
Multiplication and Division of Rational Numbersp. 263
Multiplying and Dividing Integers
Are You Physically Fit?p. 263
Objectives
Multiply and divide integers
Perform calculations involving a sequence of operations
Apply exponents to integers
Identify properties of calculations involving multiplication and division with zero
Integers and Tiger Woodsp. 275
Objectives
Use order of operations with expressions involving integers
Apply the distributive property
Evaluate algebraic expressions and formulas using integers
Solve equations of the form ax = b, where a [NotEqual] 0, involving integers
What Have I Learned?p. 283
How Can I Practice?p. 285
Multiplying and Dividing Fractions
Get Your Homestead Landp. 288
Objectives
Multiply and divide fractions
Recognize the sign of a fraction
Determine the reciprocal of a fraction
Solve equations of form ax = b, a [NotEqual] 0, that involve fractions
Tiling the Bathroomp. 299
Objectives
Multiply and divide mixed numbers
Evaluate expressions with mixed numbers
Calculate the square root of a mixed number
What Have I Learned?p. 309
How Can I Practice?p. 310
Multiplying and Dividing Decimals
Quality Points and GPA: Tracking Academic Standingp. 315
Objectives
Multiply and divide decimals
Estimate products and quotients involving decimals
Tracking Temperaturep. 325
Objectives
Use the order of operations to evaluate expressions that include decimals
Use the distributive property in calculations involving decimals
Evaluate formulas that include decimals
Solve equations of the form ax = b that include decimals
What Have I Learned?p. 333
How Can I Practice?p. 335
Summaryp. 339
Gateway Reviewp. 343
Problem Solving with Ratios, Proportions, and Percentsp. 349
Everything Is Relativep. 349
Objectives
Understand the distinction between actual and relative measure
Write a ratio in its verbal, fraction, decimal and percent formats
The Devastation of AIDS in Africap. 360
Objectives
Use proportional reasoning to apply a known ratio to a given piece of information
Write an equation using the relationship "ratio [Middot] total = part" and then solve the resulting equation
Who Really Did Better?p. 365
Objectives
Define actual and relative change
Distinguish between actual and relative change
Don't Forget the Sales Taxp. 370
Objectives
Define and determine growth factors
Use growth factors in problems involving percent increases
It's All on Sale!p. 377
Objectives
Define and determine decay factors
Use decay factors in problems involving percent decreases
Take an Additional 20% Offp. 384
Objective
Apply consecutive growth and/or decay factors to problems involving two or more percent changes
Fuel Economyp. 391
Objectives
Apply rates directly to solve problems
Use unit analysis (dimensional analysis) to solve problems that involve consecutive rates
Four out of Five Dentists Prefer the Brooklyn Dodgers?p. 399
Objectives
Recognize that equivalent fractions lead to proportions
Use proportions to solve problems involving ratios and rates
What Have I Learned?p. 405
How Can I Practice?p. 407
Summaryp. 411
Gateway Reviewp. 413
Problem Solving with Geometryp. 417
The Geometry of Two-Dimensional Plane Figures
Walking around Bases, Gardens, Trusses, and Other Figuresp. 417
Objectives
Recognize perimeter as a geometric property of plane figures
Write formulas for, and calculate perimeters of, squares, rectangles, triangles, parallelograms, trapezoids, and polygons
Use unit analysis to solve problems involving perimeter
Circles Are Everywherep. 429
Objectives
Measure lengths of diameters and circumferences of circles
Develop and use formulas for calculating circumferences of circles
Lance Armstrong and Youp. 433
Objectives
Calculate perimeters of many-sided plane figures using formulas and combinations of formulas
Use unit analysis to solve problems involving perimeters
Baseball Diamonds, Gardens, and Other Figures Revisitedp. 437
Objectives
Write formulas for areas of squares, rectangles, parallelograms, triangles, trapezoids, and polygons
Calculate areas of polygons using appropriate formulas
How Big Is That Circle Really?p. 446
Objectives
Develop a formula for the area of a circle
Use the formula to determine areas of circles
A New Pool and Other Home Improvementsp. 452
Objectives
Solve problems in context using geometric formulas
Distinguish between problems that require area formulas and those that require perimeter formulas
How Big Is That Angle?p. 457
Objectives
Measure sizes of angles with a protractor
Classify triangles as equiangular, equilateral, isosceles, or scalene
How About Pythagoras?p. 464
Objectives
Develop and use the Pythagorean Theorem for right triangles
Calculate the square root of numbers other than perfect squares
Apply the Pythagorean Theorem in context
Moving Up with Mathp. 471
Objectives
Recognize the geometric properties of similar triangles
Use similar triangles in indirect measurement
What Have I Learned?p. 475
How Can I Practice?p. 477
The Geometry of Three-Dimensional Space Figures
Painting Your Way through Summerp. 482
Objectives
Recognize geometric properties of three-dimensional figures
Write formulas for and calculate surface areas of boxes (rectangular prisms), cans (right circular cylinders), and balls (spheres)
Truth in Labelingp. 486
Objectives
Write formulas for and calculate volumes of boxes and cans
Recognize geometric properties of three-dimensional figures
Analyzing an Ice Cream Conep. 491
Objectives
Write formulas for and calculate volumes of balls (spheres) and cones
Summertimep. 497
Objectives
Use geometry formulas to solve problems
Use scale drawings in problem-solving
What Have I Learned?p. 500
How Can I Practice?p. 503
Summaryp. 507
Gateway Reviewp. 513
More Problem Solving with Algebra and Mathematical Modelsp. 519
Leasing a Copierp. 519
Objectives
Describe a mathematical situation as a set of verbal statements
Translate verbal rules into symbolic equations
Solve problems involving equations of the form y = ax + b
Solve equations of the form y = ax + b for the input x
Evaluate expressions ax + b in equations of the form y = ax + b to obtain an output y
Windchillp. 529
Objectives
Evaluate expressions to determine the output for a formula
Solve formulas for a specific variable
Comparing Energy Costsp. 536
Objectives
Write symbolic equations from information organized in a table
Produce tables and graphs to compare outputs from two different mathematical models
Solve equations of the form ax + b = cx + d
Volume of a Storage Tankp. 544
Objectives
Use property of exponents to multiply powers having the same base
Use property of exponents to raise a power to a power
Use the distributive property and properties of exponents to write an expression as an equivalent expression in expanded form
Math Magicp. 550
Objectives
Recognize an algebraic expression as a code of instructions to obtain an output
Simplify algebraic expressions
Mathematical Modelingp. 557
Objectives
Develop an equation to model and solve problems
Solve problems using formulas as models
Recognize patterns and trends between two variables using tables as models
Recognize patterns and trends between two variables using graphs as models
What Have I Learned?p. 568
How Can I Practice?p. 570
Summaryp. 577
Gateway Reviewp. 579
Appendixes
Learning Math Opens Doors: Twelve Keys to Successp. A-1
Selected Answersp. A-15
Glossaryp. A-33
Indexp. I-1
Table of Contents provided by Ingram. All Rights Reserved.


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