Illustrative Mathematics
Running Laps
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...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
North Carolina Department of Public Instruction
Fraction Card Games
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.
Illustrative Mathematics
How Many Marbles?
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson titled, How Many Servings of Oatmeal? to highlight the difference between the two...
Illustrative Mathematics
Voting for Three, Variation 2
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...
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the instructional activity Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the...
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...
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 drank,...
Illustrative Mathematics
Running to School, Variation 3
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Illustrative Mathematics
Jog-A-Thon
Adding fractions with unlike denominators can be cloudy, but attaching the fractions to real-life math can add to fraction number sense. Alex needed to run only a mile, will completing the training in two segments satisfy this...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the learning exercise, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are...
Illustrative Mathematics
Painting a Wall
Red and yellow do not make orange in this activity, but they do create a real-life, multiplication of fractions word problem. As either a lead-in or an assessment, math masters display their understanding of 1/2 x 5/6 when a wall needs...
Curated OER
Activity: An Experiment with Dice
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,...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Curated OER
K-5 Mathematics Module: Number and Number Sense
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...
Illustrative Mathematics
Track Practice
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
Pedago Net
Acing Math
Deal me in! Elementary and middle school classes will love this selection of math games, all involving a deck of cards. From fractions to exponents to rounding up and down, the games cover such a variety of skills that your classroom...
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...
David Pleacher
Candy Math Fun
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...
Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
5280 Math
Decimal Patterns
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
101 Questions
Nana's Lemonade
Consistency is the key. One lemon wedge per glass of water makes a nice glass of lemonade. Young scholars must identify the number of lemon wedges they need to make the same lemonade in a big gulp cup. They develop their own solution...
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