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...
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
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, learners must accurately locate the number one...
Curated OER
Find 2/3
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...
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, learners...
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
Egyptian Fractions
You don't have to be an ancient Egyptian to decipher fractions in this activity that focuses on adding fractions with unlike denominators and developing fraction number sense. Egyptians represented fractions differently than we do. They...
Illustrative Mathematics
Half of a Recipe
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
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...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Concord Consortium
Hockey Pucks
Package design is a mathematical task for any business. Young scholars use a package design to determine the number of packages required for specific shipments. Using ratios, proportions, and fractions, they make decisions about the best...
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...
Noyce Foundation
Rabbit Costumes
How many rabbit costumes can be made? This is the focus question of an activity that requires scholars to use multiplication and division of fractions to solve a real-world problem. They determine the amount of fabric necessary for eight...
California Education Partners
Bake Sale
Work with fractional cookies. The three-part assessment task checks the pupils' ability to find the product of fractions and whole numbers, mixed numbers, or fractions. Learners determine the amount of ingredients needed and how many of...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
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...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 5
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and...
California Education Partners
Soccer Snacks
Make the cookies healthy. The assessment task asks pupils to determine the number of cookies they could make based on a given amount of ingredients. Given two sugar substitutes, learners determine which substitute would be better and...
Illustrative Mathematics
Running to School
The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...
Illustrative Mathematics
Pennies to Heaven
Even though pennies seem to be relatively thin, stack enough of them into a single stack, and you could have quite a high stack. Enough so, that the final result can be a surprise to you as well as your class. This activity centers...
Curated OER
Drinking Juice
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa...
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...