Preface | p. xv |

Whole Numbers | p. 1 |

Education Pays | p. 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 Again | p. 10 |

Objectives | |

Read tables | |

Read bar graphs | |

Interpret bar graphs | |

Construct graphs | |

Bald Eagles Revisited | p. 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 Camp | p. 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 Supplies | p. 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 Stars | p. 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 Calculator | p. 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 |

Summary | p. 77 |

Gateway Review | p. 83 |

Variables and Problem Solving | p. 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 Sale | p. 24 |

Objectives | |

Identify like terms | |

Combine like terms using the distributive property | |

Solve equations of the form ax + bx = c | |

Make Me an Offer | p. 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 |

Summary | p. 143 |

Gateway Review | p. 147 |

Problem Solving with Rational Numbers: Addition and Subtraction of Integers, Fractions, and Decimals | p. 151 |

Adding and Subtracting Integers | |

On the Negative Side | p. 151 |

Objectives | |

Identify integers | |

Represent quantities in real-world situations using Integers | |

Compare integers | |

Calculate absolute value of integers | |

Maintaining Your Balance | p. 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 Wind | p. 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 Thought | p. 203 |

Objective | |

Add and subtract fractions and mixed numbers with the same denominators | |

Math Is a Trip | p. 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 Metric | p. 231 |

Objectives | |

Know the metric prefixes and their decimal values | |

Convert measurements between metric quantities | |

Dive into Decimals | p. 235 |

Objectives | |

Add and subtract decimals | |

Compare and interpret decimal numbers | |

Boiling, Freezing, and Financial Aid | p. 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 |

Summary | p. 251 |

Gateway Review | p. 255 |

Multiplication and Division of Rational Numbers | p. 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 Woods | p. 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 Land | p. 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 Bathroom | p. 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 Standing | p. 315 |

Objectives | |

Multiply and divide decimals | |

Estimate products and quotients involving decimals | |

Tracking Temperature | p. 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 |

Summary | p. 339 |

Gateway Review | p. 343 |

Problem Solving with Ratios, Proportions, and Percents | p. 349 |

Everything Is Relative | p. 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 Africa | p. 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 Tax | p. 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% Off | p. 384 |

Objective | |

Apply consecutive growth and/or decay factors to problems involving two or more percent changes | |

Fuel Economy | p. 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 |

Summary | p. 411 |

Gateway Review | p. 413 |

Problem Solving with Geometry | p. 417 |

The Geometry of Two-Dimensional Plane Figures | |

Walking around Bases, Gardens, Trusses, and Other Figures | p. 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 Everywhere | p. 429 |

Objectives | |

Measure lengths of diameters and circumferences of circles | |

Develop and use formulas for calculating circumferences of circles | |

Lance Armstrong and You | p. 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 Revisited | p. 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 Improvements | p. 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 Math | p. 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 Summer | p. 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 Labeling | p. 486 |

Objectives | |

Write formulas for and calculate volumes of boxes and cans | |

Recognize geometric properties of three-dimensional figures | |

Analyzing an Ice Cream Cone | p. 491 |

Objectives | |

Write formulas for and calculate volumes of balls (spheres) and cones | |

Summertime | p. 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 |

Summary | p. 507 |

Gateway Review | p. 513 |

More Problem Solving with Algebra and Mathematical Models | p. 519 |

Leasing a Copier | p. 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 | |

Windchill | p. 529 |

Objectives | |

Evaluate expressions to determine the output for a formula | |

Solve formulas for a specific variable | |

Comparing Energy Costs | p. 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 Tank | p. 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 Magic | p. 550 |

Objectives | |

Recognize an algebraic expression as a code of instructions to obtain an output | |

Simplify algebraic expressions | |

Mathematical Modeling | p. 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 |

Summary | p. 577 |

Gateway Review | p. 579 |

Appendixes | |

Learning Math Opens Doors: Twelve Keys to Success | p. A-1 |

Selected Answers | p. A-15 |

Glossary | p. A-33 |

Index | p. I-1 |

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