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Lesson Plan
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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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Activity
Education Development Center

Comparing Fractions

For Teachers 4th - 6th Standards
Three heads are better than one. After reading a conversation between three friends about how to compare fractions, scholars analyze and discuss each presented strategy. These include using unit fractions, using benchmark fractions,...
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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 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
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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Activity
Illustrative Mathematics

Ordering Fractions

For Teachers 3rd - 4th Standards
Here is a comparing and ordering fractions learning activity that extends young mathematicians understanding of fractions with like and non-like denominators. By representing and explaining each fraction in a picture or diagram, students...
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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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Activity
National Council of Teachers of Mathematics

The Roll Out Fractions Game: Comparing Fractions

For Teachers 3rd - 5th Standards
Reinforce the concept of comparing fractions with a hands-on, two-player game that calls for a visual model, score board, and dice. Players roll dice to acquire their given fraction, create the fraction using fraction tiles, then compare...
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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

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
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Activity
Illustrative Mathematics

Running Laps

For Teachers 3rd - 5th Standards
If you run more laps, did you run further? Well, it depends. If the laps are different lengths, you need to do some math to answer that question. The goal of this task to is compare two fractions. Young learners represent the real-world...
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Lesson Plan
Illustrative Mathematics

Money in the Piggy Bank

For Teachers 3rd - 5th Standards
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
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Activity
US Department of Commerce

Using Fractions to Compare Amusements Parks By States

For Teachers 3rd Standards
Amuse learners with a lesson on amusement parks and fractions. Using provided census data on the number of amusement parks in each state, third graders represent the fraction of states that fall within a certain range. They create a...
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Activity
Education Development Center

Adding Fractions with Unlike Denominators

For Teachers 4th - 5th Standards
If the fractions don't have a common denominator, make them have one. Learners first read and analyze a conversation of pupils trying to add 2/5 and 1/2. They compare the process of adding fractions to the process of adding quantities...
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Activity
Baylor College

Air: The Math Link

For Teachers 1st - 3rd Standards
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic operations,...
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Lesson Plan
Curated OER

Find 2/3

For Teachers 3rd - 5th Standards
This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young...
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Lesson Plan
1
1
Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
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Activity
Lakeshore Learning

Equivalent Fraction Activities

For Teachers 3rd - 5th
Spin the wheel of the fraction contraption and learn about equivalent fractions! After constructing their own spinners, kids use printable pizzas to represent fractions that are equal in value.
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Lesson Plan
Illustrative Mathematics

Plastic Building Blocks

For Teachers 3rd - 5th Standards
Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...

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