3.N.3.2 Construct fractions using length, set, and area models.
In a Nutshell
Third graders have begun to develop a foundation for fractions by constructing the idea of fractional parts of the whole - the parts that result when the whole has been partitioned into equal-sized portions or fair shares. With this knowledge they will be able to make a representation of given fractions in multiple formats.
Student Actions
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Teacher Actions
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Use models to accurately recreate fractions in different formats.
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Communicate mathematically with peers to justify the fraction representation they created.
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Make conjectures as they compare fraction representations and justify whether they both describe the same fraction. For example: Does the rectangle and set of circles both represent ½?
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Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: When might you need to draw/make a fraction in real life? How can you describe your fraction representation?
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Elicit student thinking as they recreate fractions in different ways and challenge them to come up with their own ideas.
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Key Understandings
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Misconceptions
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Fractions represented in different formats will have different values.
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The numerator and denominator can be switched and have the same value.
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The denominator is the amount of leftover pieces. For example: Mikey ate 3 out of the 8 pieces of pizza. What was the fraction of pizza Mikey ate? Students may answer 3/5 (three were eaten, 5 were not eaten).
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Fractions are always constructed the same way.
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OKMath Framework Introduction
3rd Grade Introduction
3rd Grade Math Standards
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