NF.1.3.b

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

b.  Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

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Formative Assessments
Formative Assessments
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Students compare two pairs of fractions and record their comparisons using the less than or greater than symbols.
Comparing Fractions
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Students are given a familiar fraction and asked to generate an equivalent fraction justifying their reasoning.
Generating Equivalent Fractions
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Students determine whether or not fractions are equivalent.
Equivalent Fractions
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Students are asked to divide two rectangles into fourths and then to consider how many fourths the two wholes represent.
How Many Fourths Are in Two Wholes?
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Students are given a number line scaled by fourths and ask to label the notches.
Four Fourths
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Students compare two fractional parts of two different wholes.
The Cake Problem
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab.
Build a Fraction
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CPALMS: Match shapes and numbers to earn stars in this fractions game.
Exploring Fractions
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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 will help the students in understanding parts in relation to a whole group.
Pattern Blocks (NLVM Grade 6-8)
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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 is a Java applet that allows students to explore concepts in whole number operations and fractions, just as they would with a physical manipulative such as Cuisinaire Rods.
Fraction Bars
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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 interactive applet helps develop the concept of fractions as equal parts of a whole unit.
Ribbon Fractions
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CPALMS: This virtual manipulative requires the learners to create equivalent fractions, by dividing and shading squares or circles, and match each fraction to its location on the number line.
Equivalent Fractions
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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 offers activities that allow the learner to explore fractions by building fractions, making equivalent fractions, and matching fractions.
Fraction Introduction
Assessment Questions
Assessment Questions
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Equation Editor
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Gridded Response 3
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Gridded Response 1
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Multi Select
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Gridded Response 2
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 extend students' understanding of fraction comparison and is intended for an instructional setting.
IM:  Ordering Fractions
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This task is meant to address a common error that students make, namely, that they represent fractions with different whole when they need to compare them.
IM:  Comparing Fractions with a Different Whole
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This task asks students to select pictures that accurately represent the relative magnitude of two fractions.
IM:  Fraction Comparisons With Pictures, Assessment Variation
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The goal of the task is to compare fractions with a focus on providing explanations that demonstrate deep conceptual development.
IM:  Comparing Fractions Game
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The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent.
IM:  Jon and Charlie’s Run
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This task asks students to compare fractions using words, symbols and then to represent them correctly on the number line.
IM:  Comparing Fractions with the Same Denominator, Assessment Variation
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The purpose of this task is for students to investigate a claim about a comparison of two fractions in a context.
IM:  Snow Day
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The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions.
IM:  Comparing Fractions
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This task asks students to compare fractions using words, symbols and then to correctly represent them on a number line.
IM: Comparing Fractions with the Same Numerator, Assessment Variation
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The purpose of this task is for students to use their understanding of area as the number of square units that covers a region to recognize different ways of representing fractions with area.
IM:  Halves, Thirds, and Sixths
Problem Based Lessons
Problem Based Lessons
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Robert Kaplinsky: Students will determine where the freeway signs belong by using a map.
Where Is Th Freeway Sign Located?