multiplying fractions the area model follows area model for multiplication of whole numbers a visual...
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Multiplying FractionsThe Area Model
• Follows Area Model for Multiplication of Whole Numbers
• A visual model that assists in learning the standard algorithm
• Extends easily to multiplying mixed numbers
• Natural extension to
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Example 1
Mariela would like to share her Kit Kat bar with 3 friends. How could she divide it equally? How much of the whole candy bar does each one get?
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Each would get ¼ of the candy bar
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Example 2Mariela has made more friends. How could she divide the Kit Kat bar equally with 11 friends? What part of the whole candy bar would each one get?
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Mariela could cut each of the long sticks into 3 equal pieces or she could make the 5 cuts shown above.
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So, there are 12 pieces, each would get 1/12 of the Kit Kat bar.
1/12
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How can we model the following fraction multiplication problem with the Kit Kat bar?
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First split the candy bar lengthwise into 4 equal pieces as shown. This gives us pieces of ¼ each.
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Next, split the candy bar into 3 equal pieces of 1/3 each
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Exercise 1 – Use an area model to show the solution to the following multiplication of fractions problem
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http://maine.edc.org/file.php/1/GeoGebra_Files/MultiplyFracAreaModel_Lv0.html
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What do you think the answer should be?
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Can you use an area model to come up with a solution?
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Multiplying Mixed Numbers with an Area Model
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