# Chapter 5: Using Ratios, Rates and Proportions

**At Grade**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 ratios, rates, unit rates, slope, identifying proportions, writing proportions, solving proportions, unit scale, scale factor, problem solving with unit analysis and problem solving with proportions.

## Chapter Outline

- 5.1. Equivalent Ratios
- 5.2. Ratios in Simplest Form
- 5.3. Comparison of Ratios in Decimal Form
- 5.4. Identification and Writing of Equivalent Rates
- 5.5. Unit Rates
- 5.6. Comparison of Unit Rates
- 5.7. Slope
- 5.8. Slope of a Line Using Two Points
- 5.9. Proportions
- 5.10. Proportions with Variable in the Numerator
- 5.11. Proportions Using Cross Products
- 5.12. Proportions with Variable in the Denominator
- 5.13. Scale Distances or Dimensions
- 5.14. Unit Scale to Find Actual Dimensions
- 5.15. Scale Factor to Find Actual Dimensions
- 5.16. Problem Solving Plan, Proportions
- 5.17. Conversion Using Unit Analysis

### 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 ratios, rates, unit rates, slope, identifying proportions, writing proportions, solving proportions, unit scale, scale factor, problem solving with unit analysis and problem solving with proportions.