3.NF.A.3

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

 
28 Lesson(s)
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What Is the Whole

3rd Grade Math » Unit: Unit Fractions
3rd Grade Math » Unit: Unit Fractions
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

The Common Core defines understanding of fractions as a 3rd grade Critical Area, beginning with unit fractions. It's time to grow our understanding.

 
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different sized fractions
   

Number Line Fractions

3rd Grade Math » Unit: Fractions: More Than A Whole
3rd Grade Math » Unit: Fractions: More Than A Whole
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Students need to connect fractions to their world, and use them to help be more accurate in measurements. This lesson begins to make that connection.

 
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ruler in snow
   

Drawing Fraction Bars to Compare Fractions

3rd Grade Math » Unit: Fractions
3rd Grade Math » Unit: Fractions
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students need to be able to create their own models of fractions to support their reasoning as they compare fractions.

 
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fractions
   

Unit Fraction Examples & Non-Examples

3rd Grade Math » Unit: Fractions
3rd Grade Math » Unit: Fractions
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Comparing and contrasting examples and non-examples of unit fractions allows students to develop a conceptual understanding of fractions.

 
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oranges
   

Comparing Fractions

3rd Grade Math » Unit: Comparing Fractions
3rd Grade Math » Unit: Comparing Fractions
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Children need to "see" math in order to begin explaining their knowledge. This lesson pairs fraction comparisons with modeling math.

 
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measuring cups
   

Making Meaning of Math Tools

3rd Grade Math » Unit: Unit Fractions
3rd Grade Math » Unit: Unit Fractions
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Children need to make meaning of tools before we ask them to use them for modeling their thinking. Fraction rods are a perfect example in this lesson.

 
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cuisenaire building
   

Fraction Assessment

3rd Grade Math » Unit: Fractions
3rd Grade Math » Unit: Fractions
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

This is a summative assessment based on my fraction unit. This assessment will determine if I need to reteach any concepts, and guide and inform future fraction standards and concepts.

 
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student completing
   

Equal Unit Fractions?

3rd Grade Math » Unit: Fractions
3rd Grade Math » Unit: Fractions
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students construct arguments and explain if a given shape includes unit (equal sized) fractions.

 
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equal unit fractions
   

Debate: Does This Shape Show Fourths? (Day 1 & Day 2)

3rd Grade Math » Unit: Fractions
3rd Grade Math » Unit: Fractions
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Creating a debate format to probe student thinking about complex shapes allows students to analyze and critique thinking and explanations.

 
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Reflections (1)
squares and triangles
   

Intervention day - Division Remediation

7th Grade Math » Unit: Exploring Rational Numbers
7th Grade Math » Unit: Exploring Rational Numbers
Erica Burnison
Dixon, CA
Environment: Suburban
 
Big Idea:

Students can predict whether the value should be more or less than one by deciding if the fraction is more or less than one.

 
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Resources (24)
which answer makes sense
   

All Fractions Are Not Created Equal

3rd Grade Math » Unit: Unit Fractions
3rd Grade Math » Unit: Unit Fractions
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

If you were really hungry, would you want 1/4 of a large pizza, or a quarter of a small pizza? This is the type of question students will be able to answer after this experience.

 
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fraction pizza thirds
   

Musical Fractions- An Introduction

3rd Grade Math » Unit: Musical Fractions
3rd Grade Math » Unit: Musical Fractions
Jennifer Valentine
Tucson, AZ
Environment: Urban
 
Big Idea:

Students use math, music and technology in this engaging lesson on fractions!

 
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Comparing Fractions

3rd Grade Math » Unit: Crazy About Fractions
3rd Grade Math » Unit: Crazy About Fractions
Sarah Maffei
Environment: Urban
 
Big Idea:

Fraction strips and concrete models can be used to help students understand the size of the parts of a fraction

 
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math k2 unit image
   

Show What You Know: A 2 Day Assessment

3rd Grade Math » Unit: Comparing Fractions
3rd Grade Math » Unit: Comparing Fractions
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

After a large unit like fractions, it is important to assess the students ability to apply and communicate their knowledge. These two very different activities will help you assess and record your student's learning according to the Common Core Standards.

 
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screen shot 2014 05 05 at 12 29 02 am
   

Are My Fractions Equivalent?

3rd Grade Math » Unit: Crazy About Fractions
3rd Grade Math » Unit: Crazy About Fractions
Sarah Maffei
Environment: Urban
 
Big Idea:

Writing and Art can be used to understand math concepts.

 
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Reflections (1)
fractional fruit

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

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.

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Common Core Math
 
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