Free PreAlgebra 1st Edition

First Edition Lessons are Copyright Cheryl Wilcox 2010.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License..

These lessons form an open-source PreAlgebra textbook. The book was designed for a PreAlgebra course at Diablo Valley College, a community college in California. This project is made possible by sabbatical funding from the Contra Costa Community College District.

For answer keys and other instructor resources, contact author Cheryl Wilcox at cwilcox@dvc.edu or choose the "Contact" option from the menu above.

Special thanks to instructors Jane Brecha and Leslie Month for testing the beta version of this text in Spring 2011.

I have restored the first edition paper textbook at the lulu.com site, overcoming numerous technical difficulties caused by some kind of feud between apple and adobe. Unfortunately the price has gone up to about $20 per volume. The author receives no revenue from this product. Books are printed at cost.

Volume 1 $19.50             Volume 2 $20.26


Table of Contents

Each lesson has an explanation with examples, a worksheet covering the lesson topics, Homework set A with answers, and Homework set B without.


I. Natural Numbers
Lesson 1: *Counting, Estimating, and Rounding
Lesson 2: Measuring Length
Lesson 3: Perimeter and Area
Lesson 4: Exponents and Volume
Lesson 5: Arithmetic Operations and Precedence
Lesson 6: Variables and Formulas
Practice Test for Lessons 1 – 6

Labs for Lessons 1 - 6


II. Fractions, Part 1

Lesson 7: Measuring Fractions of an Inch
Lesson 8: Factor Pairs
Lesson 9: Prime Factorization
Lesson 10: Equivalent Fractions
Lesson 11: Mixed Numbers and Improper Fractions
Lesson 12: Multiplying Fractions
Practice Test for Lessons 7 – 12
Labs for Lessons 7 - 12



III. Algebra, Part 1

Lesson 13: More Cancelling
Lesson 14: Solving Equations, Part 1
Lesson 15: Simplifying Algebraic Expressions
Lesson 16: Solving Equations, Part 2
Lesson 17: Formulas for Triangles
Lesson 18: Word Problems
Practice Test for Lessons 13 – 18
Labs for Lessons 13 - 18


IV. Signed Numbers
Lesson 19: Negative Numbers
Lesson 20: Adding with Negative Numbers
Lesson 21: Negative Numbers and Subtraction
Lesson 22: More Operations with Negative Numbers
Lesson 23: Negatives in Formulas and Expressions
Lesson 24: Equations with Negatives
Practice Test for Lessons 13 – 24

Labs for Lessons 19 – 24


V. Fractions, Part 2

Lesson 25: The Common Denominator
Lesson 26: Adding and Subtracting Fractions
Lesson 27: Dividing Fractions
Lesson 28: Fractions and Variables
Lesson 29: *Converting Units
Lesson 30: Equations with Fractions
Comprehensive Review for Lessons 1 – 30
Labs for Lessons 25 - 30


VI. Decimals
Lesson 31: Decimal Fractions
Lesson 32: Arithmetic with Decimals
Lesson 33: Formulas for Circles
Lesson 34: Algebra with Decimals
Lesson 35: Comparing Sizes
Lesson 36: *Scientific Notation
Practice Test Lessons 25 – 36
Labs for Lessos 31 - 36


VII. Proportions and Percents
Lesson 37: *Scale and Proportion
Lesson 38: *Rates with Weight
Lesson 39: *Units in Ratios and Rates
Lesson 40: Percents
Lesson 41: Solving Percent Equations
Lesson 42: A Few Consumer Percents

PracticeTest for Lessons 31 – 42
Labs for Lessons 37 - 42


VIII. Percents Continued
Lesson 43:* Interest
Lesson 44: *Percents in Mixtures
Lesson 45: *Percent Decrease
Lesson 46: *Percent Increase
Lesson 47: *Extended Percent Problems
Lesson 48: *Optional Percent Topics
Practice Test Lessons 37 - 48
Labs for Lessons 43 - 48


IX. Roots
Lesson 49: *Squares and Square Roots
Lesson 50: *The Pythagorean Theorem
Lesson 51: *Practical Uses of the Pythagorean Theorem
Lesson 52: *The Real Numbers
Lesson 53: *Introduction to Coordinate Graphing
Lesson 54: *Graphing Simple Equations

Practice Test for Lessons 43 - 54
Labs for Lessons 49 - 54

 

X. Get Ready for Algebra I
Lesson 55: *Perimeter Problems with Related Variables
Lesson 56: *The Split Quantity Maneuver
Lesson 57: *Comprehensive Review
Unit 1 Lessons 1 - 6                Unit 2  Lessons 7 - 12                     Unit 3 Lessons 13 - 18
Lesson 58: *Comprehensive Review
Unit 4 Lessons 19 - 24            Unit 5 Lessons 25 - 30                    Unit 6 Lessons 31 - 36
Lesson 59: *Comprehensive Review Lessons 37 - 55
Unit 7 Lessons 37 - 42           Unit 8 Lessons 43 - 48                     Units 9 & 10 Lessons 49 - 56
Lesson 60: *Algebra I Preview

Practice Final Exam

 

Lessons marked with an asterisk are optional in the Diablo Valley College Course Outline for Math-075.

 
Cheryl Wilcox