# Lesson 7

Equivalent Fractions

### Lesson Purpose

The purpose of this lesson is for students to generate equivalent fractions using a representation that makes sense to them.

### Lesson Narrative

In grade 3, students learned to recognize and generate simple equivalent fractions. In earlier lessons, they reasoned about the size of fractions and identified some equivalent fractions. Throughout those experiences, they used fraction strips, tape diagrams, number lines, and benchmark fractions to support their reasoning.

In this lesson, students continue to rely on different representations and reasoning strategies to generate equivalent fractions (including those with denominators 5, 10, and 12, and fractions greater than 1). They also hone their ability to communicate their reasoning clearly.

• Representation

### Learning Goals

Teacher Facing

• Generate equivalent fractions using a representation that makes sense to students.

### Student Facing

• Let’s find some equivalent fractions.

Building On

Building Towards

### Lesson Timeline

 Warm-up 10 min Activity 1 20 min Activity 2 15 min Lesson Synthesis 10 min Cool-down 5 min

### Teacher Reflection Questions

Whose ideas and voices were heard, valued, and accepted today? How can you adjust the group structure tomorrow to ensure each student’s ideas are a part of the collective learning?

### Suggested Centers

• Get Your Numbers in Order (1–5), Stage 4: Denominators 2, 3, 4, 5, 6, 8, 10, 12, or 100 (Addressing)
• Mystery Number (1–4), Stage 4: Fractions with Denominators 5, 8, 10, 12, 100 (Addressing)