# Chapter 8: CK-12 Algebra Explorations Concepts, Grade 6

## 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

- 8.1. What's the Value
- 8.2. Solve for Unknowns
- 8.3. Circle Sums 6
- 8.4. Hanging Scales 6
- 8.5. Equal Costs
- 8.6. Rectangle Facts 6
- 8.7. Two-Step Patterns
- 8.8. Coin Stumpers
- 8.9. Trip Functions
- 8.10. Drive Away

### Chapter Summary

## Summary

In these concepts we used proportional reasoning when we determined the weights of coins in grams. We thought about equality and inequality when we used the order of operations and the distributive property. We saw variables as unknowns when we modeled systems of equations in letter grid problems and scale problems. We also saw variables as varying quantities when we completed tables for functions and applied area and perimeter formulas to solve problems. We wrote equations to represent weights of blocks pictured on scales, purchases of items, number of shapes in patterns, and distance/time relationships. In many of the concepts we practiced interpreting representations of mathematical relationships, such as when we looked at circle and arrow grid diagrams, weight scales, and line graphs.