# Chapter 1: Algebraic Thinking

**Basic**Created by: CK-12

## Introduction

In Math 7, the learning content is divided into Concepts. Each Concept is complete and whole providing focused learning on an indicated objective. Theme-based Concepts provide students with experiences that integrate the content of each Concept. Students are given opportunities to practice the skills of each Concept through real-world situations, examples, guided practice and independent practice sections. There are also video links provided to give students an audio/visual way of connecting with the content. In this Chapter, students will engage with Concepts on describing and extending patterns, evaluating expressions, understanding variables, powers and exponents, equations, measurement, perimeter, area and problem solving.

## Chapter Outline

- 1.1. Equations That Describe Patterns
- 1.2. Extend Numerical Patterns
- 1.3. Visual Patterns
- 1.4. Single Variable Expressions
- 1.5. Expressions with One or More Variables
- 1.6. Expressions for Real-Life Situations
- 1.7. Whole Number Exponents
- 1.8. Algebra Expressions with Exponents
- 1.9. Numerical Expression Evaluation with Basic Operations
- 1.10. Expression Evaluation with Powers and Grouping Symbols
- 1.11. Mental Math for Addition and Subtraction Equations
- 1.12. Mental Math for Multiplication/Division Equations
- 1.13. Appropriate Tools for Measurement of Squares and Rectangles
- 1.14. Area and Perimeter of Rectangles
- 1.15. Unknown Dimensions Using Formulas
- 1.16. Problem-Solving Models
- 1.17. Comparison of Problem-Solving Models

### Chapter Summary

## Summary

Having completed this chapter, students are now ready to move on to the next Chapter. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including describing and extending patterns, evaluating expressions, understanding variables, powers and exponents, equations, measurement, perimeter, area and problem solving.