# Chapter 3: Using Fractions

## 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 comparing and ordering fractions, operations with fractions, mixed numbers, operations with mixed number, relationships between fractions and decimals, measuring with customary units of measurement and converting customary units of measurement.

## Chapter Outline

- 3.1. Equivalent Fractions
- 3.2. Mixed Number and Fraction Estimation
- 3.3. Fraction and Mixed Number Comparison
- 3.4. Addition of Fractions
- 3.5. Estimation of Sums of Mixed Numbers and Fractions
- 3.6. Commutative Property of Addition with Fractions
- 3.7. Subtraction of Fractions
- 3.8. Estimation with Mixed Number/Fraction Subtraction
- 3.9. Inverse Property of Addition in Fraction Equations
- 3.10. Products of Mixed Numbers
- 3.11. Product Estimation with Mixed Numbers/Fractions
- 3.12. Commutative Property with Products of Fractions
- 3.13. Division of Fractions
- 3.14. Quotient Estimation with Mixed Numbers/Fractions
- 3.15. Fractions as Decimals
- 3.16. Repeating Decimals
- 3.17. Decimals as Fractions
- 3.18. Positive and Negative Fraction and Decimal Comparison
- 3.19. United States Customary Units
- 3.20. Appropriate Tools for Customary Measurement
- 3.21. Conversion of Customary Units of Measurement
- 3.22. Conversion Estimation between Systems of Measure

### 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 comparing and ordering fractions, operations with fractions, mixed numbers, operations with mixed number, relationships between fractions and decimals, measuring with customary units of measurement and converting customary units of measurement.