# Chapter 5: CK-12 Algebra Explorations Concepts, Grade 3

**At Grade**Created by: CK-12

## Introduction

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

- 5.1.
## Jars and Jars

- 5.2.
## Circles and Arrows 3

- 5.3.
## Follow the Rule 3

- 5.4.
## What's My Rule

- 5.5.
## Weight Problems

- 5.6.
## Write Equations

- 5.7.
## Better Buy 3

- 5.8.
## Pictographs

### Chapter Summary

## Summary

In these concepts we used proportional reasoning when we solved comparison problems, interpreted pictographs, and determined better buys. We thought about equality and inequality and wrote equations when we interpreted and reasoned about pictures of pan balances. We saw variables as unknowns when we solved for the weights of blocks on scales and for the unknowns in circles and arrows diagrams. We also saw variables as varying quantities when we completed tables for functions. In all of the concepts, we practiced interpreting representations of mathematical relationships when we looked at pan balances, circle and arrow grid diagrams, tables of values, weight scales, weigh equations, better-buy signs, and pictographs.