## EngageNY - Module 5

**Fraction Equivalence, Ordering, and Operations**

## Students will build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students’ ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.

## Topic A: Decomposition and Fraction Equivalence

**Lesson 1: Decompose fractions as a sum of unit fractions using tape diagrams.**

Video Lesson 1Video Lesson 1

Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams.

Video Lesson 2Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams.

Video Lesson 2

Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams.

Video Lesson 3Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams.

Video Lesson 3

Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams.

Video Lesson 4Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams.

Video Lesson 4

Lesson 5: Decompose unit fractions using area models to show equivalence.

Video Lesson 5

Lesson 6: Decompose factions using area models to show equivalence.Lesson 5: Decompose unit fractions using area models to show equivalence.

Video Lesson 5

Lesson 6: Decompose factions using area models to show equivalence.

**Video Lesson 6**