Illustrative Mathematics
Listing Fractions in Increasing Size
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...
Illustrative Mathematics
Fractions and Rectangles
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....
Curated OER
Comparing Fractions with the Same Numerators, Assessment Variation
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,...
Illustrative Mathematics
Using Benchmarks to Compare Fractions
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...
Curated OER
Comparing Fractions with a Different Whole
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...
Curated OER
Locating Fractions Greater than One on the Number Line
Supplement your lesson on improper fractions with this simple resource. Working on number lines labeled with whole numbers between 0 and 5, young mathematicians represent basic improper fractions with halves and thirds. The fractions...
Illustrative Mathematics
Fractions on the Number Line
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....
Discover Mathematics
Equivalent Fractions Game: Three in a Row
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!
Curated OER
Comparing Fractions
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...
Illustrative Mathematics
Ordering Fractions
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...
Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
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...
Education Development Center
Comparing Fractions
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,...
Education Development Center
Adding Fractions with Unlike Denominators
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...
Illustrative Mathematics
Making Hot Cocoa, Variation 1
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the activity in the Additional Materials section to practice this...
Illustrative Mathematics
Explaining Fraction Equivalence with Picture
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...
Curated OER
Closest to 1/2
Using a number line, pupils are asked to identify which of four fractions is closest to one half. Includes a single problem that can serve as a practice problem or formative assessment for 3rd or 4th graders learning to partition number...
Curated OER
Halves, Thirds, and Sixths
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...
Curated OER
Snow Day
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...
Curated OER
Comparing Fractions with the Same Denominator, Assessment Variation
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...
Baylor College
Air: The Math Link
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,...
Illustrative Mathematics
Locating Fractions Less than One on the Number Line
Understanding where to place a fraction on a number line is key to understanding fractions as numbers. This activity focuses on locating fractions less than one. Learners need to partition the line into the correct number of equal sized...
Curated OER
Find 1
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one...
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
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....
Illustrative Mathematics
Doubling Numerators and Denominators
Understanding the meaning of fractions is a challenge for many young learners. These two questions examine what happens when the numerator and denominator of a fraction are doubled. Consider allowing students to discuss their ideas in...
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