# 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

Your feedback is important to us!

After viewing our curriculum units, please take a few minutes to help us understand how the units, which were created by public school teachers, may be useful to others.

## Appendix A: Using Basic Properties To Solve Problems In Math

This Unit addresses the following Content Standards and Performance Standards:

Content Standard 1.0 Number Concepts, Arithmetic, and Operation Concepts: Students will work comfortably and confidently within the real number system and its operations. They will make comparisons, recognize patterns, and use multiple representations of the same number.

Performance Standard 1.1

Students will use the inverse operation to determine unknown quantities in equations.

Performance Standard 1.3

Student will be familiar with characteristic of operation and numbers and properties of rational numbers. Students will recognize applications of commutativity and associativity.

Content Standard 5.0: Problem Solving and Mathematics Reasoning: Problem solving concepts and strategies lie at their heart of mathematics. Students will use them in the formulation of problems. They will appropriately test problem conclusions against conditions. They will reason mathematically.

Performance Standard 5.3: Problem Implementation

Students will invoke problem solving strategies, such as illustrating with sense-making sketches to clarify situations or organizing information in a table. Students will integrate concepts and techniques from different areas of mathematics and will justify logical statements.

Content Standard 7.0 Mathematical Communication: Students will demonstrate their ability to communicate, both orally and in writing, mathematical ideas and mathematical applications to ordinary situations.

Performance Standard 7.1: Students will use mathematical language and representations with appropriate accuracy, including numerical tables and equations, simple algebraic equations and formulas, charts, graphs and diagrams to make complex situations easier to understand.

**
**