NF.1.3.a

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

a.  Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

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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.
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 wholes 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 this task is to compare fractions with a focus on providing explanations that demonstrate deep conceptual understanding.
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 and symbols and then to correctly represent them 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 the 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 and symbols and then to correctly represent them on the number line.
IM:  Comparing Fractions with Same Numerators, Assessment Variation
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The purpose of the task is for students to use their understanding of area as the number of squares that cover 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 determine where freeway signs are located using a map.
Where Is The Freeway Sign Located?