## Table of Contents

**1. An Introduction to Problem Solving**

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns and Algebraic Thinking

**2. Introduction to Logic and Sets**

2-1 Reasoning and Logic: An Introduction

2-2 Describing Sets

2-3 Other Set Operations and Their Properties

**3. Numeration Systems and Whole Number Operations**

3-1 Numeration Systems

3-2 Addition and Subtraction of Whole Numbers

3-3 Multiplication and Division of Whole Numbers

3-4 Addition and Subtraction Algorithms, Mental Computation, and Estimation

3-5 Multiplication and Division Algorithms, Mental Computation, and Estimation

**4. Number Theory**

4-1 Divisibility

4-2 Prime and Composite Numbers

4-3 Greatest Common Divisor and Least Common Multiple

*Module A: Clock & Modular Arithmetic--online

**5. Integers**

5-1 Addition and Subtraction of Integers

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, Division, and Estimation with Rational Numbers

6-4 Proportional Reasoning

**7. Rational Numbers as Decimals and Percents**

7-1 Introduction to Finite Decimals

7-2 Operations on Decimals

7-3 Repeating 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

*Module B: Using Real Numbers in Equations--online

**9. Probability**

9-1 Determining Probabilities

9-2 Multistage Experiments and Modeling Games

9-3 Simulations and Applications in Probability

9-4 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 Curves, Polygons, and Symmetry

11-3 More About Angles

11-4 Geometry in Three Dimensions

*Module C: Networks--online

**12. Congruence and Similarity with Constructions**

12-1 Congruence Through Constructions

12-2 Additional Congruence Theorems

12-3 Additional Constructions

12-4 Similar Triangles and Other Similar Figures

*Module D: Trigonometry Ratios via Similarity--online

**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

**14. Area, Pythagorean Theorem, and Volume**

14-1 Linear Measure

14-2 Areas of Polygons and Circles

14-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle

14-4 Surface Areas

14-5 Volume, Mass, and Temperature

Technology Modules

*Module E: Spreadsheets--online

*Module F: Graphing Calculators--online

*Module H: GeoGebra--online