NF.2.5.a

Interpret multiplication as scaling (resizing), by:

a.  Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

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Formative Assessments
Formative Assessments
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Students are given three products, each involving a whole number and a fraction, and are asked to estimate the size of the product and explain their reasoning.
Estimating Products
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Students are asked to describe the size of a product of a fraction less than one and a whole number without multiplying.
Multiplying by a Fraction Less Than One
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Students are asked to reason about the size of the product of fractions and whole numbers presented in context.
More Than or Less Than Two Miles
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Students are asked to describe the size of a product of a fraction greater than one and a whole number without multiplying.
Multiplying by a Fraction Greater Than One
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This interactive applet provides a visual model of fraction multiplication using rectangular arrays.
Fractions-Rectangle Multiplication
Assessment Questions
Assessment Questions
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Videos of Expert Instruction
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Use Real Link and Title
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Hook/Performance Tasks
Hook/Performance Tasks
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The purpose of this task is for students to use information about a race to find the speed of the racers based on their time.
IM:  Running a Mile
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Students complete a task with raising money for a school trip using explanations as to how they arrived at their solution.
IM:  Fundraising
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The goal of this task is to compare three quantities using the notion of multiplication as scaling.
IM:  Comparing Heights of Buildings
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This task allows students to have discourse explaining the relationship between the magnitude of the factors and the magnitude of the product.
IM:  Reasoning about Multiplication
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Students will explain their reasoning for a display of numbers on a calculator.
IM:  Calculator Trouble
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This task is intended to assess students' ability to compare the size of a product to the size of one factor on the basis of the size of the other factor without performing the indicated multiplication.
IM:  Mrs. Gray’s Homework Assignment
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Students will compare the size of two products to one factor on the basis of the other factor without performing any computations.
IM:  Grass Seedlings
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The purpose of this task is for students to compare a number and its product with other numbers that are greater than and less than one.
IM:  Comparing a Number and a Product
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This task is designed so that a teacher can diagnose the depth of a students'understanding of what it means to multiply a number by a fraction, especially in terms of a fraction.
IM:  Scaling Up and Down
Problem Based Lessons
Problem Based Lessons
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Robert Kaplinsky: Students will determine how many times bigger the school model should be.
How Much Bigger Should They Make Zoolanders School?
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Robert Kaplinsky: . Students determine what fraction is Mini Me of Dr. Evil.
How Tall Is Mini Me?