Workshop: Using Equivalent Fractions and Ratios

Est. Class Sessions: 1–2

Mathematical Standards

5.NF.A: Use equivalent fractions as a strategy to add and subtract fractions. (5.NF.A.1)
5.NF.B: Apply and extend previous understandings of multiplication and division. (5.NF.B.3)

Standards for Mathematical Practice

MP1.: Make sense of problems and persevere in solving them.
MP2.: Reason quantitatively.
MP3.: Construct viable arguments and critique the reasoning of others.
MP4.: Model with mathematics.
MP5.: Use appropriate tools strategically.
MP6.: Attend to precision.

This Workshop lesson provides opportunities for students to address missing concepts, practice skills, or extend their learning as needed. Students use tools such as area models, number lines, tables, and symbols to represent and identify fractions and ratios. They also use tools and strategies to find equivalent fractions and ratios, including the simplest form.

Content in this Lesson

Representing fractions and ratios using circle pieces and number lines [E1].
Representing fractions and ratios using symbols [E1].
Finding and identifying the simplest form of a fraction [E2].
Identifying and finding equivalent fractions [E3].
Communicating problem-solving strategies [MPE2, 5].
Using labels to show what numbers mean [MPE6].
Understanding the problem [MPE1].

Daily Practice and Problems W–X

W. Equivalent Fractions

X. Multiplication Practice

Materials for Students

		Daily Practice and Problems	Lesson	Assessment
Student Books	Student Guide	Multidigit Multiplication Strategies Menu Reference	Workshop: Using Equivalent Fractions and Ratios Pages 238–239	Workshop: Using Equivalent Fractions and Ratios Self-Check: Q# 1–3 Pages 238–239 Fractions on Number Lines Chart Reference Math Practices Reference
Student Books	Student Activity Book		Finding Equivalent Fractions and Ratios Pages 219–226
Teacher Resources	Teacher Guide - digital	DPP Item W DPP Item X

Supplies for Students

fraction circle pieces

Materials for the Teacher

Display of Fractions on Number Lines Chart (Student Guide) Reference
Display of Crossing the Gym Master (Teacher Guide)
Math Facts Class Record
Unit 5 Individual Assessment Record
Display set of fraction circle pieces

Assessment in this Lesson

Assessment	Expectation Assessed
Workshop: Using Equivalent Fractions and Ratios Self-Check: Questions 1–3 Student Guide Pages 238–239	E1. Represent and identify fractions and ratios (e.g., proper, improper, mixed number) using area models, number lines, tables, graphs, words, and symbols. E2. Represent and identify the simplest form of a fraction or ratio using tools (e.g., area models) and multiplication and division strategies. E3. Find equivalent fractions and ratios using tools (e.g., area models, number lines, tables, graphs) and multiplication and division strategies.

Assessment

Expectation Assessed

Workshop: Using Equivalent Fractions and Ratios
Self-Check: Questions 1–3
Student Guide
Pages 238–239

E1.: Represent and identify fractions and ratios (e.g., proper, improper, mixed number) using area models, number lines, tables, graphs, words, and symbols.
E2.: Represent and identify the simplest form of a fraction or ratio using tools (e.g., area models) and multiplication and division strategies.
E3.: Find equivalent fractions and ratios using tools (e.g., area models, number lines, tables, graphs) and multiplication and division strategies.

Unit 5

Unit Overview

Daily Practice and Problems

Lesson 1

Lesson 2

Lesson 3

Lesson 4

Lesson 5

Lesson 6