Illustrative Mathematics
Bundling and Unbundling
Seven tens, plus five ones, equals 75. Five ones, plus seven tens, also equals 75. These are the types of equations learners are asked to make true in a worksheet with 11 unfinished equations.
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
CK-12 Foundation
Fundamental Counting Principle with and without Repetition: Outfit Combinations
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Illustrative Mathematics
Red and Blue Tiles
Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.
CK-12 Foundation
Permutations and Combinations Compared: Colored Candies
Here's a sweet resource on sample spaces. An enticing interactive allows users to list all possibilities for the flavors of candy given to a friend. Scholars must also determine whether permutations or combinations are more...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Illustrative Mathematics
Making 124
How many ways can you make the number 124 using only tens and ones? Use a task that prompts young mathematicians to make 124 in as many ways as possible.
CK-12 Foundation
Problem Solving Plan, Mental Math: The Perfect Lemonade 1
Find the perfect amount of water for lemonade. Scholars solve the famous problem of measuring four liters of water using a three-liter container and a five-liter container. An interactive allows users to see each step of the solution.
CK-12 Foundation
Input-Output Tables for Function Rules
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
CK-12 Foundation
Chemical Bonds: Covalent and Ionic Bonding
Get back to bonding basics. Science scholars get a chance to show what they know using a simple interactive. Pupils create models of covalent and ionic bonds before answering questions about each interaction. The resource includes a...
CK-12 Foundation
Mental Math to Evaluate Products: Mental Math Halloween Candy
Time to put those mental math strategies into play with an interactive that has learners thinking about how many candies three friends get altogether.
CK-12 Foundation
Division of Decimals by Whole Numbers: Lemonade Stand
After a full day of selling lemonade, three friends split the cost of the profit money. If the total profit was $34.20, how much will each friend get?
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
National Council of Teachers of Mathematics
Taking a Spin
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Concord Consortium
Bricks for Books
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
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...
CK-12 Foundation
Prime Factorization: Chocolate Chip Factoring
An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...
CK-12 Foundation
Whole Number Exponents: Teddy Bear Box
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
CK-12 Foundation
Decimals as Mixed Numbers
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions.
ABCya
Turkey Touchdown
Touchdown! A Thanksgiving Day, football-themed learning game challenges mathematicians to answer addition, subtraction, multiplication, and division problems. After five correct answers, players aim and kick a field goal before the next...
CK-12 Foundation
Comparison of Fractions, Decimals, and Percents: Filling in the Squares
An interactive equipped with five questions challenges mathematicians to convert between fractions, decimals, and percents. A diagram changes its size to visually depict conversions alongside symbols to compare them. Question types...
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