# Chapter 12: Equations and Functions

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

## Introduction

In Math 6, 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. In this twelfth chapter, Equations and Functions; Probability, students will engage in many Concepts including information about equations, functions, and probability, including writing expressions and equations, solving equations using addition and subtraction, solving equations using multiplication and division, an introduction to functions and graphing functions, an introduction to probability, finding outcomes, and understanding the probability of independent events.

- 12.1.
## Addition and Subtraction Phrases as Expressions

- 12.2.
## Multiplication and Division Phrases as Expressions

- 12.3.
## Sentences as Single Variable Equations

- 12.4.
## Sums and Differences of Single Variable Expressions

- 12.5.
## Single Variable Addition Equations

- 12.6.
## Single Variable Subtraction Equations

- 12.7.
## Products and Quotients of Variable Expressions

- 12.8.
## Single Variable Multiplication Equations

- 12.9.
## Single Variable Division Equations

- 12.10.
## Input-Output Tables

- 12.11.
## Function Rules for Input-Output Tables

- 12.12.
## Graphs of Linear Functions

- 12.13.
## Linear and Non-Linear Function Distinction

- 12.14.
## Definition of Probability

- 12.15.
## Measurement of Probability

- 12.16.
## Complement Rule for Probability

- 12.17.
## Tree Diagrams

- 12.18.
## Combinations

- 12.19.
## Permutations

- 12.20.
## Probability of Independent Events

### Chapter Summary

## Summary

Having completed this chapter, students are now finished with this book. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including information about equations, functions, and probability, including writing expressions and equations, solving equations using addition and subtraction, solving equations using multiplication and division, an introduction to functions and graphing functions, an introduction to probability, finding outcomes, and understanding the probability of independent events.