# 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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## Appendix B Glossary of Math Terms for Basic Properties

1.
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Additive Inverse-For a given number, the number that can be added to give a sum of 0. Example: -4 is the additive inverse of + because -4 + 4 = 0, also, known as the negative of the number.

2. Associative Property for Addition and Multiplication-Rule stating that the grouping of addends or factors does not affect the sum or product. Examples:

(3 + 6) + 9 = 3 + (6 + 9)

(2 x 4) x 7 = 2 x (4 x 7)

3. Commutative Property for Addition and Multiplication- Rule stating that the order of addends or factors has no effect on the sum or product

Examples: 3 + 9 = 9 + 3 and 4 x 7 = 7 x 4

4. Distributive Property for Multiplication over Addition- Rule stating that when the sum of two or more addends is multiplied by another number, each addend must be multiplied separately, and the products added together.

5. Identity Property for Addition- Zero is the identity property for addition, because any number plus zero is equal that number. Example: 3 + 0 = 3

6. Identity Property for Multiplication- One is the identity property for multiplication, because any number multiplied by 1 equals that number. Example: 17 x 1 = 17

7. Inverse-Opposite. Addition and subtraction are operations. Multiplication is the inverse of division.

8. Property of 0- A property which states that for any integer plus zero, the sum is that integer.

9. Property of 1- A property which states that any number multiplied by 1 will equal the number.