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Illustrative Mathematics

Listing Fractions in Increasing Size

For Teachers 3rd - 5th Standards
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
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Lesson Plan
Illustrative Mathematics

Using Benchmarks to Compare Fractions

For Teachers 3rd - 5th Standards
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
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Lesson Plan
Curated OER

Comparing Fractions with the Same Numerators, Assessment Variation

For Teachers 3rd - 4th Standards
Have your class demonstrate their ability to compare fractions with this short multiple-choice assessment. Using the fractions 9/8 and 9/4, the students first make comparisons using both words and the greater than/less than signs. Next,...
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Lesson Plan
Curated OER

Comparing Fractions with Objects and Pictures

For Teachers 3rd
Scholars will compare fractions using objects and pictures. They view pre-made pictures and concrete objects of fractions. Then use small white boards to draw pictorial representations of fractions.
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Lesson Plan
Curated OER

Comparing Fractions

For Teachers 4th - 5th
The best way to teach students how to compare fractions is using visual means. This instructional activity suggests a variety of ways to help learners understand this concept using a SMART Board, Kidspiration, videos, computer games, and...
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Lesson Plan
Curated OER

Comparing Fractions with a Different Whole

For Teachers 3rd - 4th Standards
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
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Lesson Plan
Curated OER

Comparing Fractions with the Same Denominator, Assessment Variation

For Teachers 3rd - 4th Standards
A short, multiple choice assessment that determines your 3rd graders' ability to correctly compare fractions with like denominators. This quiz asks learners to compare two fractions using words, the greater than/less than symbols, and...
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Lesson Plan
Curated OER

Comparing Fractions

For Teachers 4th - 5th
Young mathematicians compare two fractions with like denominators and then move to the next level to compare fractions with unlike denominators. They will first try to use mental math to make educated guesses. There are a few guidelines...
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Lesson Plan
Curated OER

Comparing Fractions

For Teachers 3rd - 5th Standards
Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...
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Lesson Plan
Rational Number Project

Initial Fraction Ideas Lesson 18: Overview

For Teachers 3rd - 6th Standards
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and denominators that allows them...
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Lesson Plan
Illustrative Mathematics

Fractions on the Number Line

For Teachers 6th - 7th Standards
Fractions are a common fear in school, but visualizing them on a number line can help your learners understand their relationship to one another. The activity provides two solutions; use either a number line or a common denominator....
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Lesson Plan
Curated OER

8Introduction to Comparing Fractions by Using Percents

For Teachers 5th - 7th
Students compare fractions by changing them to percentages. In this fractions and percentages instructional activity, students watch video clips and complete the accompanying worksheets asking them to change fractions to percentages.
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Lesson Plan
Curated OER

Hershey Bar Equivalent Fractions

For Teachers 4th - 5th
Fourth and fifth graders explain how to use equivalent fractions. They recognize which fractions are equivalent. Pupils find equivalent fractions. 
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Lesson Plan
Rational Number Project

Initial Fraction Ideas Lesson 22: Overview

For Teachers 3rd - 6th Standards
Have young mathematicians subtracting fractions in no time with this manipulative-based math lesson. Using their sets of fraction circles, students explore a number of word problems involving the subtraction of fractions before working...
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Lesson Plan
Illustrative Mathematics

Comparing Two Different Pizzas

For Teachers 3rd - 5th Standards
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
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Lesson Plan
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Curated OER

Snow Day

For Teachers 3rd - 5th Standards
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
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Lesson Plan
Illustrative Mathematics

Explaining Fraction Equivalence with Picture

For Teachers 3rd - 5th Standards
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...
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Lesson Plan
Curated OER

Which is Closer to 1?

For Teachers 3rd - 5th Standards
A seemingly simple question that reveals a lot about a student's understanding of fractions. In finding an answer, learners compare fractions with different denominators that are both greater and less than one. No number line is...
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Lesson Plan
Curated OER

Fraction City

For Teachers 4th - 7th
Welcome to Fraction City! This is an incredibly interactive and fun way to teach properties of fractions, and reaches multiple learning styles. Scholars create "blocks" by folding strips of paper in various increments (thirds, fourths,...
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Lesson Plan
Lakeshore Learning

Comparing and Ordering Fractions

For Teachers 3rd - 5th Standards
Math can be satisfying for the mind and the stomach! Incorporate slices of pizza into your fractions instructional activity with a set of informative resources. After a brief guided instructional activity on comparing and ordering...
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Lesson Plan
Curated OER

Our Solar System - Comparing Planetary Travel Distances

For Teachers 7th - 8th
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
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Lesson Plan
Education Development Center

Logic of Fractions

For Teachers 6th - 9th Standards
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
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Lesson Plan
Curated OER

Clock Fractions

For Teachers 4th - 6th
Elementary schoolers generate and manipulate fractions. They review equivalent fractions and use an analog clock to create and add fractions. Pupils work in groups to complete two fraction worksheets.
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Lesson Plan
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Liberty Union-Thurston

Equivalent Fractions

For Students 4th - 6th Standards
The next lesson in a math series builds off the previous one in which learners estimated fraction amounts using fraction bars. Here, pupils view equivalent fractions with unlike denominators using fraction bars. Lastly, they complete a...

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