 # Dividing by Fractions Discovery

#### Primary Type: Lesson Plan

This document was generated on CPALMS - www.cpalms.org

This lesson allows students to derive the algorithm for dividing fractions using visual fraction models and equations to represent the problem.

Subject(s): Mathematics
Intended Audience: Educators Suggested Technology: Document Camera, LCD Projector

Instructional Time: 1 Hour(s) 30 Minute(s)
Resource supports reading in content area: Yes
Freely Available: Yes
Keywords: division of fractions, modeling, dividing
Instructional Component Type(s):
Resource Collection: CPALMS Lesson Plan Development Initiative

#### Related Standards

Name Description
MAFS.6.NS.1.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

 Remarks/Examples:Examples of Opportunities for In-Depth Focus This is a culminating standard for extending multiplication and division to fractions. Fluency Expectations or Examples of Culminating Standards Students interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions. This completes the extension of operations to fractions.