4.N.2.3 Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations (e.g., ¾ =¼ +¼ + ¼).
In a Nutshell
Break a fraction into a sum of fractions with the same denominator using models and symbolic representations.
Student Actions
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Teacher Actions
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Develop a deep and flexible conceptual understanding of fraction decomposition by modeling decompositions using various concrete and pictorial representations (i.e., sets, parts of a whole, number lines), and recording these decompositions symbolically.
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Develop accurate and appropriate procedural fluency by using like denominators to symbolically decompose a fraction in more than one way.
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Develop mathematical reasoning by discussing and justifying why only the numerator changes in a decomposition equation, but the denominator remains the same.
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Use and connect mathematical representations by modeling fraction decomposition in multiple ways (i.e., fraction strips, pattern blocks, number lines, etc.).
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Pose purposeful questions to guide students to make connections between a non-unit fraction and the decomposed version of that fraction.
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Facilitate meaningful mathematical discourse by encouraging students to explain their decomposition models, justify their reasoning, and compare it with that of their peers.
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Key Understandings
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Misconceptions
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Fractions with numerators greater than one can be decomposed in a variety of ways.
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The decomposition of a non-unit fraction can be represented using multiple models.
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When adding fractions, only the numerators are added.
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- Adding fractions means adding numerators and adding denominators.
- Fraction operations work the same way as whole number operations.
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OKMath Framework Introduction
4th Grade Introduction
4th Grade Math Standards
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