CYCLE ONE Where do we start?

Self-Assessment: Preview

1.1 The BP Oil Spill: Focus Problem

1.2 Getting Started: Reviewing Prealgebra

• Use Venn diagrams
• Write equivalent fractions
• Add, subtract, multiply, and divide fractions
• Solve applied problems involving fractions

1.3 Hello, My Name Is: Graphing Points

• Plot ordered pairs
• Determine the coordinates of a point

1.4 A Tale of Two Numbers: Ratios and Proportions

• Interpret ratios
• Scale ratios to produce equivalent ratios
• Determine if quantities are proportional

Getting Ready for Section 1.5

1.5 Chances Are: Probability Basics

• Find relative frequencies
• Find and interpret experimental probabilities

1.6 It’s All Relative: Understanding Integers

• Interpret signed number situations
• Find the opposite and absolute value of a number

1.7 Sign and Size: Integer Operations

• Add, subtract, multiply, and divide signed numbers
• Solve applied problems that involve signed-number addition, subtraction, multiplication, and division

1.8 An Ounce of Prevention: Means

• Find and interpret the mean of a set of numbers
• Use means in applied problems

Mid-cycle recap

1.9 Picture This: Making and Interpreting Graphs

• Create and interpret pie graphs
• Create and interpret bar graphs
• Create and interpret line graphs

1.10 Two by Two: Scatterplots 79

• Create and interpret scatterplots
• Sketch a curve to best fit a scatterplot

Getting Ready for Section 1.11

1.11 Multiply vs. Divide: Converting Units

• Convert units by multiplying or dividing

1.12 Up and Down: Percent Change

• Apply a percent change
• Find percent change
• Interpret percent change

1.13 The X Factor: Algebraic Terminology

• Differentiate between variables and constants
• Differentiate between expressions and equations
• Differentiate between factors and terms

1.14 General Number: Recognizing Patterns

• Make conjectures and generalize patterns
• Identify and use arithmetic and geometric sequences

1.15 Social Network: Linear and Exponential Change

• Model change with linear and exponential functions

1.16 Infinity and Beyond: Perimeter and Area

• Calculate perimeter and area

Cycle 1 Study Sheet

Self-Assessment: Review

Cycle 1 Wrap-Up

CYCLE TWO How does that work?

Self-Assessment: Preview

2.1 Predicting a Child’s Height: Focus Problem

Getting Ready for Section 2.2

2.2 Rule of Thumb: Weighted Means

• Find and interpret weighted means
• Find the median and mode of a data set

2.3 Measure Up: Basic Exponent Rules

• Apply basic exponent rules
• Use geometric formulas

2.4 Count Up: Adding Polynomials

• Identify and add like terms

2.5 A Winning Formula: Applying Order of Operations

• Use the order of operations to simplify expressions
• Evaluate formulas and expressions

2.6 Does Order Matter: Rewriting Expressions

• Apply the commutative and associative properties

2.7 Fair Share: Distributive Property

• Apply the distributive property to expressions
• Use the distributive property in applied contexts

2.8 Seat Yourself: Equivalent Expressions

• Write an expression to represent a scenario
• Determine if two expressions are equivalent by using the commutative, associative, and distributive properties

2.9 Parts of Speech: Using Operations Correctly

• Distinguish between an operator and an object
• Determine the object on which an operator is acting
• Recognize when the distributive property can be applied

Mid-cycle recap

2.10 A Fine Balance: Verifying Solutions

• Verify a solution to an equation

2.11 Separate but Equal: Solving Simple Equations

• Write and solve one-step equations

2.12 A State of Equality: More Equation Solving

• Solve two-step and multi-step linear equations

2.13 Quarter Wing Night: Writing and Solving Equations

• Write an equation to model a situation
• Solve a problem numerically and algebraically

2.14 Outwit and Outlast: Using Proportions

• Write and solve proportions

2.15 Three of a Kind: Pythagorean Theorem

• Use the Pythagorean theorem to find the length of a side in a right triangle
• Solve problems using the Pythagorean theorem

Getting Ready for Section 2.16

2.16 What Are the Odds?: Theoretical Probability

• Calculate theoretical probabilities
• Compare theoretical and experimental probabilities

2.17 Size Up: Volume and Surface Area

• Calculate volume and surface area

Cycle 2 Study Sheet

Self-Assessment: Review

Cycle 2 Wrap-Up

CYCLE THREE When Is It Worth It?

Self-Assessment: Preview

3.1 Deciding to Run: Focus Problem

3.2 What’s Trending: Correlation

• Determine if data has a positive or negative linear correlation
• Graph the equation of the trendline
• Use the equation of the trendline to make predictions

3.3 Constant Change: Slope

• Find the slope of a line from points, tables, and graphs
• Interpret the slope as a rate of change

3.4 Shortest Path: Distance Formula

• Use the distance formula to find the distance between two points

3.58 More or Less: Linear Relationships

• Make comparisons using equations, tables, and graphs

3.6 Get in Line: Slope-Intercept Form

• Find and interpret the slope and y-intercept from a linear equation
• Graph a line using a table and using the slope and y-intercept

3.7 Chain, Chain, Chain: Writing Linear Equations

• Write the equation of a line using a point and the slope
• Write the equation of a line using two points
• Create a linear model in an applied problem

Getting Ready for Section 3.8

3.8 Going Viral: Exponential Functions

• Write the equation of an exponential function using a starting value and rate of change
• Model with exponential functions
• Graph exponential functions

Mid-cycle recap

CYCLE Three When Is It Worth It?

3.9 Untangling the Knot: Solving Nonlinear Equations

• Solve nonlinear equations

Getting Ready for Section 3.10

3.10 Hot and Cold: Rewriting Formulas

• Solve an equation for a specified variable

3.11 A Common Goal: Greatest Common Factors

• Factor an expression using the greatest common factor

3.12 Thinking Outside the Box: Factoring Quadratic Expressions

• Factor quadratic expressions

3.13 A Formula for Success: The Quadratic Formula

• Use the quadratic formula to solve equations

3.14 Systematic Thinking: Graphing and Substitution

• Solve a 2 * 2 linear system of equations by graphing
• Solve a 2 * 2 linear system of equations by substitution

3.15 Opposites Attract: Elimination

• Solve a 2 * 2 linear system of equations by elimination

3.16 The Turning Point: Quadratic Functions

• Identify a quadratic pattern in data
• Find the vertex of a parabola

Cycle 3 Study Sheet

Self-Assessment: Review

Cycle 3 Wrap-Up

CYCLE FOUR What Else Can We Do?

Self-Assessment: Preview

4.1 Measuring Temperature Variability: Focus Problem

4.2 A Matter of Change: Dimensional Analysis

• Convert units using dimensional analysis

Getting Ready for Section 4.3

4.3 Little Giants: Scientific and Engineering Notation

• Convert numbers between scientific and standard notation
• Convert numbers into and out of engineering notation

4.4 A Model Approach: Negative Exponents

• Use exponent rules to simplify expressions that have negative exponents

4.5 Variation on a Theme: Standard Deviation

• Find the standard deviation of a data set
• Interpret the standard deviation of a data set

4.6 An Order of Magnitude: Understanding Logarithmic Scales

• Interpret logarithmic scales

Mid-cycle recap

4.7 Straight to the Point: Direct Variation

• Identify direct variation from a graph, table, or equation
• Write models for direct variation problems
• Solve direct variation problems

Getting Ready for Section 4.8

4.8 Gas Up and Go: Inverse Variation

• Identify inverse variation from a table
• Write models for inverse variation problems
• Solve inverse variation problems

4.9 Ghost in the Machine: Function Notation

• Use function notation
• Find a function input or output given the other

4.10 What’s Your Function? Vertical Line Test, Domain, and Range

• Apply the vertical line test
• Find the domain and range from a graph

4.11 An Important Point: Vertex Form of a Quadratic Function

• Identify the vertex of a quadratic function
• Graph a quadratic function in vertex form
• Write the vertex form of a quadratic function

4.12 A Survey of Trig: Trigonometric Functions

• Write the six trigonometric ratios for an acute angle
• Use trigonometric functions to find the measures of sides and angles of a right triangle

Cycle 4 Study Sheet

Self-Assessment: Review

Cycle 4 Wrap-Up

Excel Appendix (online) EA-1

Answers (online) A-1

Index I-1

Applications Index