Dividing Fractions with Models

With this year 7 worksheet, students are asked a set of questions to help them model and represent dividing a unit fraction by a whole number and a whole number by a unit fraction. Students must draw models to demonstrate their understanding of how to cut fraction bars to determine a quotient. Activities included in this worksheet are

• Partitioning shapes and cutting the pieces into small parts to determine the quotient
• Matching models with division equations
• Solving word problems.

An answer key is included with your download to make grading fast and easy! 

Tips for Differentiation + Scaffolding 

In addition to independent student work time, use this worksheet as an activity for:

• Guided maths groups
• Lesson wrap-up
• Homework assignment
• Whole-class review (via smartboard)

To extend this activity, have students write their own word problems and corresponding expressions. Challenge students to create a tutorial video teaching a new student how to represent a given expression, such as 1/4 ÷ 5.

The worksheet begins with more scaffolding in place to support the student in creating their model. As the page progresses, the teacher can verbally provide support and talk the student through how to model each expression. Allow students to use manipulatives to better understand what is happening in each division expression.

🖨️ Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource. 

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete. 

To save paper, we suggest printing this multi-page worksheet double-sided.

Turn this teaching resource into a sustainable activity by printing on cardboard and slipping it into a dry-erase sleeve. Students can record their answers with a whiteboard marker, then erase and reuse them. 

Additionally, project the worksheet onto a screen and work through it as a class by having students record their answers in their notebooks. 

Get more worksheets to have handy!

This resource was created by Lorin Davies, a Teach Starter Collaborator.