Chapter 0 Preparing for Pre-Algebra

0-1 A Plan for Problem Solving

0-2 Problem-Solving Strategies

0-3 Number and Operations

0-4 Algebra

0-5 Geometry

0-6 Measurement

0-7 Data Analysis

Unit 1 Rational Numbers and Equations

Chapter 1 The Tools of Algebra

1-1 Words and Expressions

Explore 1-2 Algebra Lab: Rules and Expressions

1-2 Variable and Expressions

Extend 1-2 Spreadsheet Lab: Expressions and Spreadsheets

1-3 Properties

1-4 Ordered Pairs and Relations

Explore 1-5 Algebra Lab: Relations and Functions

1-5 Words, Equations, Tables, and Graphs

Explore 1-6 Algebra Lab: Scatter Plots

1-6 Scatter Plots

Extend 1-6 Graphing Technology Lab: Scatter Plots

Chapter 2 Operations with Integers

2-1 Integers and Absolute Value

Explore 2-2 algebra Lab: Adding Integers

2-2 Adding Integers

Explore 2-3 Algebra Lab: Subtracting Integers

2-3 Subtracting Integers

Extend 2-3 More About: Adding and Subtracting with Matrices

Explore 2-4 Algebra Lab: Multiplying Integers

2-4 Multiplying Integers

Explore 2-5 Algebra Lab: Dividing Integers

2-5 Dividing Integers

2-6 Graphing in Four Quadrants

2-7 Translations and Reflections on the Coordinate Plane

Chapter 3 Operations with Rational Numbers

Explore 3-1 Algebra Lab: Fractions and Decimals on the Number Line

3-1 Fractions and Decimals

3-2 Rational Numbers

3-3 Multiplying and Rational Numbers

3-4 Dividing Rational Numbers

3-5 Adding and Subtracting Like Fractions

3-6 Adding and Subtracting Unlike Fractions

Chapter 4 Expressions and Equations

4-1 The Distributive Property

Explore 4-2 Algebra Lab: Simplifying Algebraic Expressions

4-2 Simplifying Algebraic Expressions

4-3 Solving Equations by Adding and Subtracting

4-4 Solving Equations by Multiplying or Dividing

Explore 4-5 Algebra Lab: Solving Two-Step Equations Using Algebra Tiles

4-5 Solving Two-Step Equations

4-6 Writing Equations

Chapter 5 Multi-Step Equations and Inequalities

5-1 Perimeter and Area

Extend 5-1 Spreadsheet Lab: Perimeter and Area

5-2 Solving Equations with Variables on Each Side

5-3 Inequalities

5-4 Solving Inequalities

5-5 Solving Multi-Step Equations and Inequalities

Unit 2 Proportions and Similarity

Chapter 6 Ratio, Proportion, and Similar Figures

6-1 Ratios

6-2 Unit Rates

6-3 Converting Rates and Measurements

Extend 6-3 Geometry Lab: Accuracy and Precision

6-4 Proportional and Nonproportional Relationships

6-5 Solving Proportions

Extend 6-5 Algebra Lab: Inverse Proportions

6-6 Scale Drawings and Models

Explore 6-7 Geometry Lab: Similar Figures

6-7 Similar Figures

6-8 Dilations

6-9 Indirect Measurement

Chapter 7 Percent

7-1 Fractions and Percents

7-2 Fractions, Decimals, and Percents

Explore 7-3 Algebra Lab: Using a Percent Model

7-3 Using the Percent Proportion

7-4 Find a Percent of a Number Mentally

7-5 Using Percent Equations

Explore 7-6 Algebra Lab: Modeling Percents and Change

7-6 Percent of Change

7-7 Simple and Compound Interest

Extend 7-7 Spreadsheet Lab: Compound Interest

7-8 Circle Graphs

Unit 3 Linear and Nonlinear Functions

Chapter 8 Linear Functions and Graphing

8-1 Functions

8-2 Sequences and Equations

8-3 Representing Linear Functions

Extend 8-3 More About: Representing Linear Inequalities

8-4 Rate of Change

8-5 Constant Rate of Change and Direct Variation

Explore 8-6 Graphing Technology Lab: Scope and Rate of Change

8-6 Slope

Explore 8-7 Algebra Lab: Proportional and Nonproportional Linear Relationships

8-7 Slope-Intercept Form

Extend 8-7 Graphing Technology Lab: Family of Linear Graphs

8-8 Writing Linear Equations

8-9 Prediction equations

Extend 8-9 Graphing Technology Lab: Linear Regression

8-10 Systems of Equations

Chapter 9 Powers and Nonlinear Functions

Explore 9-1 More About: Factors

9-1 Powers and Exponents

9-2 Prime Factorization

Extend 9-2 More About: Applying Prime Factorization

9-3 Multiplying and Dividing Monomials

9-4 negative Exponents

9-5 Scientific Notation

Extend 9-5 More About: Computation with Scientific Notation

9-6 Powers of Monomials

9-7 Linear and Nonlinear Functions

Extend 9-7 More About: Geometric Sequences

9-8 Quadratic Functions

Extend Graphing Technology Lab: Family of Quadratic Functions

9-9 Cubic and Exponential Functions

Extend Algebra Lab: A Half-Life Simulation

Unit 4 Two- and Three-Dimensional Space

Chapter 10 Real Numbers and Right Triangles

Explore 10-1 Algebra Lab: Squares and Square Roots

10-1 Squares and Square Roots

Extend 10-1 More About: Cube Roots

Explore 10-2 More About: Sets

10-2 The Real Number System

Explore 10-3 Geometry Lab: Angles in a Triangle

10-3 Triangles

Extend 10-3 Geometry Lab: The Triangle Inequality Theorem

Explore 10-4 Algebra Lab: The Pythagorean Theorem

10-4 The Pythagorean Theorem

Extend 10-4 Algebra Lab: Graphing Irrational Numbers

10-5 The Distance Formula

10-6 Special Right Angles

Extend 10-6 More About: Trigonometric Ratios

Chapter 11 Distance and Angle

Explore 11-1 More About: Measuring and Drawing Angles

11-1 Angle and Line Relationships

Extend 11-1 Geometry Lab: Constructing Angles and Lines

11-2 Congruent Triangles

11-3 Rotations

Explore 11-4 Geometry Lab: Angles in Polygons

11-4 Quadrilaterals

11-5 Polygons

Extend 11-5 Geometry Lab: Constructing Congruent and Similar Polygons

11-6 Area of Parallelograms, Triangles, and Trapezoids

Extend 11-6 More About: Perimeter and Area of Similar Figures

11-7 Circles and Circumference

Extend 11-7 Geometry Lab; Intersections of Geometric Figures

11-8 Area of Circles

11-9 Area of Composite Figures

Extend 11-9 Spreadsheet Lab: Changes in Scale

Chapter 12 Surface Area and Volume

Explore 12-1 Geometry Lab: Drawing Three-Dimensional Figures

12-1 Three-Dimensional Figures

Explore 12-2 Geometry Lab: Volume

12-2 Volume of Prisms

12-3 Volume of Cylinders

Explore 12-4 Geometry Lab: Volume of a Pyramid

12-4 Volume of Pyramids, Cones, and Spheres

Explore 12-5 Geometry Lab: Surface Area of Prisms

12-5 Surface Area of Prisms

Explore 12-6 Geometry Lab: Surface Area of Cylinders

12-6 Surface Area of Cylinders

12-7 Surface Area of Pyramids and Cones

Extend 12-7 Geometry Lab: Surface Area of Spheres

Explore 12-8 Geometry Lab: Similar Solids

12-8 Similar Solids

Unit 5 Data Sets

Chapter 13 Statistics and Probability

Explore 13-1 Algebra Lab: Analyzing Data

13-1 Measures of Central Tendency

Extend 13-1 Graphing Technology Lab: Mean and Median

Explore 13-2 More About: Statistical Displays

13-2 Stem-and-Leaf Plots

13-3 Measures of Variation

13-4 Box-and Whisker Plots

Extend 13-4 Graphing Technology Lab: Box-and Whisker Plots

13-5 Histograms

Extend 13-5 Graphing Technology Lab: Histograms

13-6 Theoretical and Experimental Probability

Extend 13-6 More About: Geometric Probability

13-7 Using Sampling to Predict

13-8 Counting Outcomes

Extend 13-8 Algebra Lab: Probability and Pascal’s Triangle

13-9 Permutations and Combinations

Explore 13-10 Graphing Technology Lab: Probability Simulation

13-10 Probability of Compound Events

Extend 13-10 Algebra Lab: Simulations

Chapter 14 Looking Ahead to Algebra 1

14-1 Polynomials

14-2 Adding Polynomials

14-3 Subtracting Polynomials

14-4 Multiply a Binomial by a Monomial

14-5 Multiply Two Binomials

14-6 dividing a Polynomial by a Monomial

14-7 Using GCF to Factor Polynomials

14-8 Factoring Trinomials