NF.2.3.b

Understand a fraction a/b with a greater than 1 as a sum of fractions 1/b.

b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

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Formative Assessments
Formative Assessments
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Students are given pairs of mixed numbers to either add or subtract.
Adding and Subtracting Mixed Numbers
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Students are asked to solve a word problem that involves subtracting fractions with like denominators. Students then analyze a word problem involving subtraction of unlike unit quantities.
Fraction Word Problems
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Students are asked to solve a word problem that involves adding fractions with like denominators. Students then analyze a word problem involving addition of unlike unit quantities.
Anna Marie and the Pizza
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Students are asked to use a visual fraction model to decompose three-fifths in two different ways.
Decomposing Three Fifths
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This powerful interactive virtual manipulative tool supports teachers in building a conceptual understanding of fractions and decimal comparisons through manipulating fractions and representing them with a wide variety of visual models.
Conceptually Comparing Fractions and Decimals
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CPALMS: This virtual manipulative allows individual students to work with fraction relationships.
Fraction Game
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CPALMS: This virtual manipulative will help the students in understanding parts in relation to a whole group.
Pattern Blocks (NLVM Grade 6-8)
Assessment Questions
Assessment Questions
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Equation Editor 1
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Multiple choice
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Equation Editor 2
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Multi Select
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Equation Editor 3
Videos of Expert Instruction
Videos of Expert Instruction
Use Real Link and Title
Use Real Link and Title
Use Real Link and Title
Hook/Performance Tasks
Hook/Performance Tasks
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The purpose of this task is to help students' understanding of addition of fractions.
IM:  Comparing Sums of Unit Fractions
 
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The purpose of this task is to have students add mixed numbers with like denominators.
IM:  Plastic Building Blocks
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The purpose of this task is to help students understand and articulate the reasons for the steps in the usual algorithm for converting a mixed number into an equivalent fraction.
IM:  Writing a Mixed Number as an Equivalent Fraction
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The purpose of this task is for students to estimate and compute sums of mixed numbers in a context.
IM:  Cynthia’s Perfect Punch
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This task is a straightforward task related to adding fractions with the same denominator.
IM:  Making 22 Seventeenths in Different Ways
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This task provides a context where it is appropriate for students to subtract fractions with a common denominator.
IM:  Peaches