Basic Math and Pre-Algebra

Basic Math and Pre-Algebra

PART 1. The World of Numbers

CHAPTER 1. Our Number System

The Counting Numbers

Scientific Notation


CHAPTER 2. Arithmetic

Addition and Subtraction

Multiplication and Division

CHAPTER 3. Order of Operations and Integers

Order of Operations

The Distributive Property

The Integers

Arithmetic with Integers

CHAPTER 4. Factors and Multiples

Prime Numbers

Prime Factorization

Greatest Common Factor

Least Common Multiple

CHAPTER 5. Fractions

The Rational Numbers

Arithmetic with Fractions

CHAPTER 6. Decimals

Decimal Fractions

Powers and Scientific Notation Revisited

Arithmetic with Decimal Fractions

Rational and Irrational Numbers

CHAPTER 7. Ratios, Proportions, and Percentages

Proportional Reasoning

Calculating with Percentages

PART 2. Into the Unknown

CHAPTER 8. Variables and Expressions

Using Variables

Multiplying with Variables

Dividing with Variables

CHAPTER 9. Adding and Subtracting with Variables

When Are Terms “Like Terms”?

Adding and Subtracting Like Terms

Simplifying Expressions


CHAPTER 10. Solving Equations and Inequalities

Using Equations to Find the Missing Number

One Solution or Many?

CHAPTER 11. Coordinate Graphing

The Coordinate Plane

Graphing Linear Equations

Graphs of Inequalities

PART 3. The Shape of the World

CHAPTER 12. Basics of Geometry

Points, Lines, Planes, and Angles

Parallel and Perpendicular Lines

CHAPTER 13. Triangles

Facts about Triangles

Classifying Triangles

Right Triangles

Area and Perimeter

CHAPTER 14. Quadrilaterals and Other Polygons



Rhombuses and Squares


Perimeter of Quadrilaterals

Area of Quadrilaterals

Polygons with More than Four Sides

CHAPTER 15. Circles

The Language of Circles

Segments and Angles

Lines and Angles

Area and Circumference

Circles in the Coordinate Plane

CHAPTER 16. Surface Area and Volume

Measuring Solids






CHAPTER 17. Geometry at Work

Areas of Irregular Figures

Similarity and Congruence

Indirect Measurement with Similar Triangles

Indirect Measurement with Trigonometry

PART 4. The State of the World

CHAPTER 18. Probability

Counting Methods

Relative Frequency

Theoretical Probability

Probability of Compound Events

CHAPTER 19. Graphs

Bar Graph


Circle Graph

Line Graph

CHAPTER 20. Measures of Center and Spread

The Centers

The Separators

The Spread

PART 5. Extra Practice

CHAPTER 21. Extra Practice

Part I: Arithmetic

Part II: Algebra

Part III: Geometry

Part IV: Probability and Statistics

APPENDIX A. Check Point Answers

APPENDIX B. Extra Practice Answers

APPENDIX C. Glossary

APPENDIX D. Resources

APPENDIX E. Measurement