NF.1.1

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

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Formative Assessments
Formative Assessments
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Students partition squares to model two fractions and then determine if the fractions are equivalent.
Are the Fractions Equivalent?
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Students scale number lines to locate given fractions, find equivalent fractions, and explain the relationship between equivalent fractions.
Equivalent Fractions On A Number Line
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Students draw a visual fraction model to determine whether two fractions are equivalent.
Eating Cake
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Students use a number line to explain that one-half is equivalent to two-fourths.
Equivalence Using a Number Line
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 Fraction Machine is a tool for exploring relative size and comparing fractions.
Fraction Machine
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CPALMS: This virtual manipulative offers pattern blocks of different shapes and in different colors which can be used for a range of activities.
Pattern Blocks ( NLVMGrade 2-5)
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CPALMS: Match shapes and numbers to earn stars in this fractions game.
Exploring Fractions
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CPALMS: An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100.
Fraction Models
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CPALMS: This virtual manipulative allows individual students to work with fraction relationships.
Fraction Game
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CPALMS: Students use this virtual manipulative to visualize and name equivalent fractions. The applet presents a shape divided into equal parts, with some parts shaded.
Fractions-Equivalent
Assessment Questions
Assessment Questions
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Multiple Choice
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Multi Select 3
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Multi Select 1
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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 provide students with an opportunity to explain fraction equivalence through visual models in a particular example.
IM:  Explaining Fraction Equivalence with Pictures
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The primary goal of this task is for students to use pictures to explain the equivalence between 3/12 and 1/4.
IM:  Fractions and Rectangles
Problem Based Lessons
Problem Based Lessons
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Robert Kaplinsky: Students determine what fraction of children are in the correct car seat using infographics and discussion.
What Fraction Of Children Are In The Right Car Seat?