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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
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 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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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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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
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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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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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
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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
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1
North Carolina Department of Public Instruction

Fraction Card Games

For Teachers 3rd - 5th Standards
Have fun with fractions in a math card game activity! Cut out the fraction cards and use them to reinforce fraction concepts, including common denominators, parts of a whole, and equivalent fractions. 
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Activity
David Pleacher

Candy Math Fun

For Teachers 3rd - 8th Standards
Few things can motivate children to learn like the promise of a sweet and tasty treat. Given a bag of M&M®s, Skittles®, or other colorful candy, students first predict the contents of the bag before counting the pieces, creating a...
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Activity
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1
Curated OER

Activity: An Experiment with Dice

For Teachers 3rd - 7th Standards
Roll the dice with this activity and teach young mathematicians about probability. Record outcomes for rolling two number cubes in order to determine what is most likely to happen. Graph the data and investigate patterns in the results,...
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Activity
Curated OER

Geometric Pictures of One Half

For Teachers 3rd Standards
A learning task that involves creative ways of thinking permits children to use paper models as a way to visualize the fraction one-half. Learners can fold or cut their models in such a way that the unshaded regions, and shaded regions...
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Activity
Curated OER

Finding Common Denominators to Subtract

For Teachers 5th Standards
Subtracting fractions with unlike denominators can be overwhelming, but in this task, 5th graders work systematically to break down the procedure through three questions. The first two questions ask for pictures to be drawn along with...
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Activity
Illustrative Mathematics

Origami Stars

For Teachers 4th - 6th Standards
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...

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