Illustrative Mathematics
Toll Bridge Puzzle
Here is a great problem-solving activity for young mathematicians. Intended solely for instructional purposes, the activity is appropriate for learners to add four numbers together. Not only must they add four numbers together,...
Illustrative Mathematics
Frog and Toad on the Number Line
Administer a learning activity that challenges your class to use a number line in the form of lily pads. Learners are instructed to display the number of hops that Toad and Frog take during their journey on a number line. Young...
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
Agile Mind
Isabella’s Credit Card
An in-depth activity that involves a real-world problem about credit card debt. Learners are given a scenario in which Isabella plans to stop using her credit card and pay off the balance by paying a fixed amount each month. The first...
Curated OER
Humongous Vegetables
Humongous vegetables can inspire and awaken your mathematicians to the large math concepts in our Common Core standards. What is the secret to growing such gargantuan garden objects in Alaska? In the state that is closest to the...
Curated OER
Do These Add Up?
Common Core mathematical practices require that young mathematicians not only know how to add fractions with unlike denominators, but also to recognize when adding fractions are appropriate for the word problem. Fifth graders are given...
Curated OER
Carnival Tickets
A great subtraction and division discovery opportunity for young mathematicians, this learning task involves seven word problems that require multiple steps. Learners use a math table to persevere in solving problems that are...
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
How Many Colored Pencils?
Support young mathematicians' interpretation of place value in order to multiply single-digit numbers by 10. The task builds upon and enhances a learners' understanding of place value, a second grade skill, while introducing...
Illustrative Mathematics
1.OA, NBT, The Very Hungry Caterpillar
First graders are exposed to addition of three whole numbers in a math activity centered around Eric Carle's, The Very Hungry Caterpillar. As the teacher reads, young mathematicians use counters and ten-frames to symbolize the number of...
Curated OER
Cruising
Cruise ships offer many engaging opportunities for real-world math adventures. These large, floating cities use resources with numbers into the thousands place. Young mathematicians are asked to calculate numerical information...
North Carolina State University
Shapes
Expose youngsters to 3-D objects in a hands-on learning activity involving marshmallows and toothpicks. Engage your young mathematicians by introducing them to 3-D shapes by means of a story book. Explore 3-D shapes by manipulating...
Shodor Education Foundation
Pythagorean Theorem
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
Illustrative Mathematics
Graphs of Quadratic Functions
The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...
Curated OER
Integer Solutions to Inequality
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
Illustrative Mathematics
Painting a Room
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows students to draw out a solution to aid their thinking. The well-written answer sheet describes common...
Illustrative Mathematics
Origami Stars
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
Illustrative Mathematics
Above and below sea level
Using the real-world example of elevation, above or below sea level, young mathematicians interpret expressions using negative signs, and absolute value. This task provides a good opportunity to discuss the notion of magnitude and...
Illustrative Mathematics
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Illustrative Mathematics
Assessing Writing Numbers
Can I say a number by its name, and can you write it for me? Working in small groups or with the whole class, give your kindergartners a piece of 1-inch graph paper and have them write numbers 0 to 10 and 11 to 20. Next, pass out blank...
Curated OER
Five by Two
Help young mathematicians read and interpret numbers from 1 to 10 and sequence them correctly with this card game. Using a deck of cards and two to three classmates, have one player hand out ten cards to each gamer and then put the extra...
Curated OER
Number TIC TAC TOE
Working in pairs, young mathematicians will practice number identification with a game of tic-tac-toe. Supplies needed: two 3x3 grids with numbers 1-9 in random order, and two different colored crayons. Player 1 will choose and read a...
Curated OER
Number Rods
Working in a math center or an "I finished early" work station, young mathematicians will match in sequence pre-set-up rods of unifix cubes to numbers on a number line. To help differentiate tens from ones, use different colors to...
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