# Chapter 5: Number Patterns and Fractions

## 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 fifth chapter, Number Patterns and Fractions, students will engage in many Concepts including factor pairs, divisibility, prime and composite numbers, prime factorization, greatest common factors, equivalent fractions, simplifying fractions, multiples, and writing fractions in different forms.

## Chapter Outline

- 5.1. Factor Pairs
- 5.2. Divisibility Rules to Find Factors
- 5.3. Prime and Composite Numbers
- 5.4. Prime Factorization
- 5.5. Greatest Common Factor Using Lists
- 5.6. Greatest Common Factor Using Factor Trees
- 5.7. Equivalent Fractions
- 5.8. Fractions in Simplest Form
- 5.9. Common Multiples
- 5.10. Least Common Multiple
- 5.11. Fraction Comparison with Lowest Common Denominators
- 5.12. Fraction Ordering with Lowest Common Denominators
- 5.13. Length Measurements to a Fraction of an Inch
- 5.14. Mixed Numbers as Improper Fractions
- 5.15. Improper Fractions as Mixed Numbers
- 5.16. Fraction and Mixed Number Comparison
- 5.17. Decimals as Fractions
- 5.18. Decimals as Mixed Numbers
- 5.19. Fractions as Decimals
- 5.20. Mixed Numbers as Decimals
- 5.21. Repeating Decimals

### Chapter Summary

## Summary

Having completed this chapter, students are now ready to move on to Chapter Six. Each Concept has provided students with an opportunity to engage and practice skills in many Concepts including factor pairs, divisibility, prime and composite numbers, prime factorization, greatest common factors, equivalent fractions, simplifying fractions, multiples, and writing fractions in different forms.