# Chapter 3: CK-12 Algebra Explorations Concepts, Grade 1

## Introduction

In these concepts, you will be introduced to six key concepts of algebra and will practice your problem solving skills. There are six 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

- 3.1. Balance the Pans
- 3.2. How Many Pounds
- 3.3. Circles and Arrows 1
- 3.4. Function Machines 1
- 3.5. Silly Stickers
- 3.6. Stars and Moons

### Chapter Summary

## Summary

In these concepts we used proportional reasoning when we computed the cost of multiple sets of stickers given the price of one sticker. We thought about equality and inequality and wrote equations when we looked at pan balances and filled one side in order to maintain balance. We saw variables as unknowns when we replaced variables with values in order to determine the total weight of various types of blocks. We also saw variables as varying quantities when we completed tables for functions. In many of the concepts we practiced interpreting representations of mathematical relationships, like when we looked at pan balances, circle and arrow grid diagrams, tables of values, and weight scales.