NF.2.7.a

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

a.  Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

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Formative Assessments
Formative Assessments
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Students are asked to solve a word problem involving division of a whole number by a fraction.
Bags of Fudge
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Students are given a division expression and asked to write a story context to match the expression and use a visual fraction model to solve the problem.
Whole Numbers Divided by Fractions
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Students are given a division expression and asked to write a story context to match the expression and use a visual fraction model to solve the problem.
Fractions Divided by Whole Numbers
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Students are asked to solve a word problem involving division of a fraction by a whole number.
Relay Race
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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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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Gridded Response
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Use Real Link and Title
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Hook/Performance Tasks
Hook/Performance Tasks
Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
This task requires students to recognize both number of groups unknown and group size unknown division problems.
IM:  Dividing by One Half
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This task provides a context for performing division of a whole number by a unit fraction.
IM:  Origami Stars
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The purpose of this task is for students to solve a problem in context that can be solved in different ways, in particular by dividing a whole number by a unit fraction.
IM:  Standing in Line
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The purpose of this task is to provide students with a situation in which it is natural for them to divide a unit fraction by a non zero whole number.
IM:  Painting a Room
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The purpose of this task is to present students with a situation in which they need to divide a whole number by a unit fraction in order to find a solution.
IM:  How Many Servings of Oatmeal?
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This task is designed to address a division problem but from different points of view.
IM:  How Many Marbles?
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The purpose of this task is to have students add fractions with unlike denominators and divide a unit fraction by a whole number.
IM:  Salad Dressing
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The purpose of this task is to provide students with a concrete situation they can model by dividing a whole number by a unit fraction.
IM:  Banana Pudding
Problem Based Lessons
Problem Based Lessons
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Robert Kaplinsky: Students need to determine how many biscuits they can make with ingredients that they have on hand.
How Many Biscuits Can You Make?