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My Multiplication and Division of Fractions Book

Dana Wicklund/Kassidy Moore
5th Grade
Hightower Elementary School
DeKalb County Schools


In this task, students are asked to model the multiplication and division of fractions through the use of manipulatives and drawings. Students will also write out story problems that match the given multiplication or division expressions.

Illustrative Task
A major mathematics textbook company is asking for your help. They are looking for ideas on how to model multiplication and division of fractions using fraction circles and/or arrays.
  • You need to create a mini-book to model multiplication and division of fractions using circles and arrays.
  • Include pictures, appropriate story problems and a brief statement of what your answer means.
  • You need to complete three examples for each operation.

GPS Addressed
M5N4. Students will continue to develop their understanding of the meaning of common fractions and will compute with them.
    a. Understand division of whole numbers can be represented as a fraction (a/b = a ÷ b).
    b. Understand the value of a fraction is not changed when both its numerator and denominator     are multiplied or divided by the same number because it is the same as multiplying or dividing by     one.
    c. Find equivalent fractions and simplify fractions.
    d. Model the multiplication and division of common fractions.
    e. Explore finding common denominators using concrete, pictorial, and computational models.
    i.  Estimate products and quotients.

Video Information
Use these questions to guide your thinking about some of the important teacher ideas in the lesson featured in the video clip.
  1. What kinds of questions does the teacher ask to promote students’ problem solving?
  2. How is the teacher gauging students’ current understandings and building from those understandings?
  3. Consider the GPS standards listed with this video.
  4. What makes this lesson different from lessons you have taught on this topic?

Classroom Materials

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