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Math Building Blocks: Chapter 7
Multiplying and Dividing Fractions

7-1     Multiplying Whole Numbers by Fractions

Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Find patterns and discover rules for multiplying whole numbers and fractions.

7-2     Multiplying Fractions by Fractions

Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Find patterns and discover rules for multiplying fractions by fractions.

7-3     Multiplying Many Fractions

Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Use the blocks to visualize and understand the process of simplifying before multiplying fractions.

7-4    Subtracting and Dividing by Removing Blocks

Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Use to blocks to visualize connections between negative number subtraction and fraction division.

7-5     Using Inverse Pairs to Subtract and Divide

Tasks: Describe the mathematical meaning of each image. Compare and contrast representations with counters and blocks. Create your own examples.
Learning goals: Use the blocks to extend the subtraction and division processes to cases in which the counters or blocks to be removed are missing.

7-6   A Rule for Dividing Fractions

Tasks:  Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Use the blocks to discover and apply a rule for dividing fractions by fractions.

7-7   Dividing and Simplifying

Tasks: Describe the mathematical meaning of each image. Create your own examples.
Learning goals: Use the blocks to extend the division process from the previous section to cases in involving common factors.

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