## Table of Contents

**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**