1. An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

1-3 Reasoning and Logic: An Introduction

2. Numeration Systems and Sets

2-1 Numeration Systems

2-2 Describing Sets

2-3 Other Set Operations and Their Properties

3. Whole Numbers and Their Operations

3-1 Addition and Subtraction of Whole Numbers

3-2 Algorithms for Whole-Number Addition and Subtraction

3-3 Multiplication and Division of Whole Numbers

3-4 Algorithms for Whole-Number Multiplication and Division

3-5 Mental Mathematics and Estimation for Whole-Number Operations

4. Number Theory

4-1 Divisibility

4-2 Prime and Composite Numbers

4-3 Greatest Common Divisor and Least Common Multiple

Online Module: Clock & Modular Arithmetic

5. Integers

5-1 Integers and the Operations of Addition and Subtraction

5-2 Multiplication and Division of Integers

6. Rational Numbers and Proportional Reasoning

6-1 The Set of Rational Numbers

6-2 Addition, Subtraction, and Estimation with Rational Numbers

6-3 Multiplication and Division of Rational Numbers

6-4 Ratios, Proportions, and Proportional Reasoning

7. Decimals: Rational Numbers and Percent

7-1 Introduction to Decimals

7-2 Operations on Decimals

7-3 Nonterminating Decimals

7-4 Percents and Interest

8. Real Numbers and Algebraic Thinking

8-1 Real Numbers

8-2 Variables

8-3 Equations

8-4 Functions

8-5 Equations in a Cartesian Coordinate System

Online Module: Using Real Numbers in Equations

9. Probability

9-1 How Probabilities Are Determined

9-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities

9-3 Using Simulations in Probability

9-4 Odds, Conditional Probability, and Expected Value

9-5 Using Permutations and Combinations in Probability

10. Data Analysis/Statistics: An Introduction

10-1 Designing Experiments/Collecting Data

10-2 Displaying Data: Part I

10-3 Displaying Data: Part II

10-4 Measures of Central Tendency and Variation

10-5 Abuses of Statistics

11. Introductory Geometry

11-1 Basic Notions

11-2 Linear Measure

11-3 Curves, Polygons, and Symmetry

11-4 More About Angles

Online Module: Networks

12. Congruence and Similarity with Constructions

12-1 Congruence through Constructions

12-2 Other Congruence Properties

12-3 Other Constructions

12-4 Similar Triangles and Similar Figures

Online Module: Trigonometry Ratios via Similarity

13. Congruence and Similarity with Transformations

13-1 Translations and Rotations

13-2 Reflections and Glide Reflections

13-3 Dilations

13-4 Tessellations of the Plane

Online Appendices

Spreadsheets

Graphing calculators

Geometer’s Sketchpad

GeoGebra