# Chapter 7: CK-12 Algebra Explorations Concepts, Grade 5

## Introduction

In these concepts, you will continue to develop ten key concepts of algebra and will practice your problem solving skills. There are ten concepts, and each one focuses on a key algebraic thinking strategy. You will focus on describing, identifying your job, planning, solving, and checking your thinking.

## Chapter Outline

- 7.1. Solve for the Unknown
- 7.2. Distributive Property and Solving for Unknowns
- 7.3. Circle Sums 5
- 7.4. Hanging Scales 5
- 7.5. XYZ
- 7.6. Rectangle Facts 5
- 7.7. Growing Patterns
- 7.8. Smart Shopping
- 7.9. Save More
- 7.10. Map Quest 5

### Chapter Summary

## Summary

In these concepts we used proportional reasoning when we interpreted map scales, when we determined better buys, and when we used coupons for percent discounts. We thought about equality and inequality when we learned about the distributive property. We saw variables as unknowns when we modeled systems of equations. We also saw variables as varying quantities when we completed tables for functions and applied area and perimeter formulas to solve problems. In all of the concepts, we practiced interpreting representations of mathematical relationships when we looked at circle and arrow grid diagrams, weight scales, discount coupons and maps.