# The Craft of Word Problems

## CONTENTS OF CURRICULUM UNIT 04.05.07

- Introduction
- Definitions of Math Properties
- Commutative Properties of Addition and Multiplication
- Inverse Properties of Addition and Subtraction
- Associative Properties
- Distributive Property
- Reviewing Properties
- Rules for Properties of the Real Numbers
- Lesson Plan I
- Lesson Plan II
- Lesson Plan III
- Appendix A: Using Basic Properties To Solve Problems In Math
- Appendix B Glossary of Math Terms for Basic Properties
- Reading List
- Teacher Resources
- Bibliography

### Unit Guide

## Using Basic Properties to Solve Problems in Math

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## Reviewing Properties

- - Commutative Properties states when you add or multiply two numbers or variables, you can change the order without changing the result.
- - Associative Properties states when you multiply or add numbers or variables, you can group them in different ways without changing the result.
- - Zero Property states when you multiply a number or variable by 0, the result is always 0.
- - The Identity Properties for Addition states when you add 0 to a number, the result is the same number or variable.
- - The Identity Property for Multiplication states when you multiply a number or variable by 1, the result is the same number or variable.
- - Inverse Property for Multiplication. The product of reciprocals is 1
- - Distributive Property states when you multiply two addends by a factor, the answer is the same as if you multiply each addend by the factor and then add the products.