Activity
KenKen Puzzle

KenKen® Puzzle

For Students 7th - 10th
Think inside the box with KenKen® puzzles to provide some problem solving practice. These puzzles are similar to Sudoku, but require computation inside designated boxes. There are multiple puzzles with a range of difficulties to...
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 4

For Teachers 6th - 9th Standards
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Lesson Plan
Curated OER

Shipping Rolled Oats

For Teachers 7th - 9th Standards
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Lesson Plan
Illustrative Mathematics

Running to School, Variation 2

For Teachers 5th - 7th Standards
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Lesson Plan
Illustrative Mathematics

Extensions, Bisections and Dissections in a Rectangle

For Teachers 9th - 11th Standards
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 2

For Teachers 5th - 7th Standards
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change. 
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 1

For Teachers 5th - 7th Standards
Finding the volume of a right rectangular prism is the focus of the resource.  Worksheet includes a drawing of a cube to help learners visualize the concept. Young geometers will learn that as the side length increases, so does the...
Lesson Plan
Illustrative Mathematics

Interpreting a Division Computation

For Teachers 5th - 7th Standards
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
Activity
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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Lesson Plan
Curated OER

The Circumference of a Circle and the Area of the Region it Encloses

For Teachers 6th - 8th Standards
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
Lesson Plan
Illustrative Mathematics

Comparing Snow Cones

For Teachers 7th - 9th Standards
Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 3

For Teachers 5th - 7th Standards
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Activity
Denton Independent School District

Build a Geome-Tree

For Teachers 5th - 7th Standards
Geometers construct a mobile or ornament using nets of three-dimensional polyhedrons. Not only do they need to compute the volume and surface area of each figure, they also earn points for creativity, neatness, and more!
Activity
Illustrative Mathematics

Building toward fluency

For Teachers 2nd - 3rd Standards
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Activity
Illustrative Mathematics

Exponentials and Logarithms I

For Teachers 8th - 12th Standards
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
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...
Activity
PBL Pathways

Lake Pollution

For Students 11th - Higher Ed
Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.
Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
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....
Lesson Plan
Illustrative Mathematics

Running to School, Variation 3

For Teachers 5th - 7th Standards
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...
Lesson Plan
Illustrative Mathematics

Drinking Juice, Variation 2

For Teachers 5th - 7th Standards
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
Activity
Curated OER

Rating Systems

For Teachers 9th - 12th Standards
Your favorite sports team is ranked #1. How do the powers that be determine this rating? Learn how ratings are mathematically computed using probability concepts, from the Elo Rating System for chess to the Rating Percentage Index for...
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Agile Mind

Isabella’s Credit Card

For Teachers 8th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

Buying Gas

For Teachers Pre-K - 7th Standards
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...

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