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Illustrative Mathematics

Fractions and Rectangles

For Teachers 3rd - 5th Standards
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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Activity
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Discover Mathematics

Equivalent Fractions Game: Three in a Row

For Teachers 3rd - 6th Standards
Dice up fractions and bring this game into the classroom. Players roll dice to create fractions, and then have to find an equivalent fraction on the board. Once they get three in a row, they win! 
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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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Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
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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
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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
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Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks at...
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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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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

Dimes and Pennies

For Teachers 3rd - 5th Standards
Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number of...
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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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Lesson Plan
Illustrative Mathematics

Adding Tenths and Hundredths

For Teachers 3rd - 5th Standards
Learning to add fractions with different denominators presents a big hurdle for many young mathematicians. Simplify the process for learners with this series of practice problems involving the friendly fractions tenths and hundredths....
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Activity
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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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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
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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Activity
Education Development Center

Anita's Way to Add Fractions with Unlike Denominators

For Teachers 5th - 6th Standards
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
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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
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
West Contra Costa Unified School District

Decimals and Fractions

For Teachers 3rd - 4th Standards
Reinforce the concept of fractions and decimals as part of a whole with a lesson plan that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and...
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Activity
Curated OER

Twizzling Fractions

For Teachers 3rd - 4th
In this fraction worksheet, students use twizzlers to demonstrate various equivalent fractions. Students complete ten greater than, equal to, and less than questions.
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Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 2

For Teachers 5th - 7th Standards
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
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Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
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Lesson Plan
Illustrative Mathematics

Jim and Jesse's Money

For Teachers 5th - 7th Standards
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that takes...
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Activity
Curated OER

K-5 Mathematics Module: Number and Number Sense

For Students K - 5th Standards
Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency in...

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