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Curated OER
Finding Common Denominators to Subtract
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...
PBS
Working with Common Denominators: Assessments
Now that the practice is over, see if young mathematicians can utilize their new skills on finding common denominators and adding fractions. The assessment contains one map challenge and follows with skills practice.
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
Multiples and Common Multiples
Learners are asked to find multiples and common multiples of two numbers. They must take their findings and find a pattern between the numbers and explain their reasoning. Use this resource with The Florist Shop activity in this series...
EngageNY
Least Common Multiple and Greatest Common Factor
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
Illustrative Mathematics
Plastic Building Blocks
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...
Illustrative Mathematics
Finding Common Denominators to Add
Finding common denominators is an important strategy when adding fractions with unlike denominators. In the first two questions in this three-question task, fifth graders are asked to combine fractions and draw a picture to show their...
Illustrative Mathematics
Making 22 Seventeenths in Different Ways
There is more than one way to determine a sum. Scholars demonstrate their understanding of the decomposition of fractions similar to the decomposition of whole numbers. The short task requires pupils to determine which sums of 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....
Illustrative Mathematics
The Florist Shop
A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...
Illustrative Mathematics
Mixed Numbers with Unlike Denominators
There is more than one way to add mixed numbers. This worksheet asks 5th graders to find and record two ways. The purpose is to help pupils realize there are different ways to reach a common solution in math. The two most common ways are...
Curated OER
Which is Closer to 1?
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...
Balanced Assessment
Smaller, Larger, In-Between
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
California Education Partners
John's Trip Disneyland
It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...
Inside Mathematics
Marble Game
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.
Illustrative Mathematics
Comparing Sums of Unit Fractions
First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =.
Illustrative Mathematics
Peaches
Subtracting mixed numbers is easy when the fractions have the same denominator. Here, young mathematicians are prompted to find out how many pounds of peaches are left after Alfredo gives some pounds to his neighbor.
Illustrative Mathematics
Making S'Mores
Fifth graders will be clamoring for s'more fractions after they finish this one! Motivated by a chocolate bar used for a yummy campfire treat, learners have to decide how to add fractions without like denominators by discovering the...
EngageNY
Problem Solving Using Rates, Unit Rates, and Conversions
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
EngageNY
Solving Percent Problems
Don't discount how much your pupils understand percents! The 27th lesson in a series of 29 presents a problem to find the cost of a discounted outfit. Small groups determine either the original price or the discount received given the...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
EngageNY
Sums and Differences of Decimals
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...
Illustrative Mathematics
Traffic Jam
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes. This practices "how many groups?" style division problems which help them comprehend why...