Activity
Teach Engineering

Straw Bridges

For Teachers 6th - 8th
Pairs work as engineering teams to design and build model bridges from drinking straws and tape. In this third segment in a series of 10, teams compete in an attempt to build the strongest bridge. To help with the design, the groups...
Lesson Plan
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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Lesson Plan
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Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
Activity
Noyce Foundation

Part and Whole

For Students K - 7th Standards
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
Activity
Illustrative Mathematics

Ice Cream Cone

For Teachers 9th - 12th Standards
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can I?

For Teachers 9th - 11th Standards
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Lesson Plan
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Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, learners are asked to determine whether or not one half of each circle is shaded. To support...
Activity
Illustrative Mathematics

Paper Clip

For Teachers 9th - 11th Standards
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
Activity
Teach Engineering

Build the Biggest Box

For Students 8th - 10th Standards
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
Lesson Plan
Illustrative Mathematics

The Lighthouse Problem

For Teachers 9th - 11th Standards
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Lesson Plan
Illustrative Mathematics

Stained Glass

For Teachers 7th - 9th Standards
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Activity
Scholastic

Scholastic: Max's Math Adventures: Max's Fantastical Zoo

For Teachers 3rd - 5th
Use this rhyming description of Max's Fantastical Zoo to make some amazing animals from geometric shapes. There is a teacher's guide for easy lesson planning.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: Elementary Lesson

For Teachers 3rd - 5th
Use this lesson plan to help students learn about cylinders. Students will be creating cylinders, and comparing them and their capacity. This engaging, hands-on lesson will hold student interest and be very beneficial to student learning.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Cylinder Problem: Middle School Lesson

For Teachers 6th - 8th Standards
This lesson offers an interesting, hands-on experience for middle school students studying cylinders. Students will create cylinders, and measure and compare their volumes.
Activity
University of Cambridge

University of Cambridge: Nrich: Three Cubed

For Students 3rd - 8th
Use the shapes provided and figure out how they fit together to make a 3 X 3 cube at this one page website. The solution is readily available right at the website.
Activity
University of Cambridge

University of Cambridge: Nrich: Where Are They?

For Students 3rd - 8th
Test your logic, polygon properties, and pattern recognition skills working on this challenge. Solution included.
Activity
University of Cambridge

University of Cambridge: Nrich: All in the Mind

For Students 3rd - 8th
You will have to use visualization to help you solve this challenge. At this one page website, you will be able to check your solution.
Activity
University of Cambridge

University of Cambridge: Nrich: Dicey

For Students 3rd - 8th
If you can visualize a cube and turn it around in your mind, then this is the challenge for you. This one page website has the solution available to check your thinking.
Activity
University of Cambridge

University of Cambridge: Nrich: Little Squares

For Students 3rd - 8th
What are square numbers? Use tiles at this one page website to discover the pattern of square numbers. See if you can solve the challenge. Once you have your solution you can check the solution given right at the website.
Activity
University of Cambridge

University of Cambridge: Nrich: A Puzzling Cube

For Students 3rd - 8th
See if you can figure out which symbols are on which cube face at this one page website. The solution is just a click away once you have your solution in mind.
Activity
Oswego City School District

Regents Exam Prep Center: Arcs in Circles

For Students 9th - 10th
Provided are definitions of arcs in circles, an example and theorems to assist with test preparation.
Activity
University of Cambridge

University of Cambridge: Nrich: Seven Sticks

For Students K - 1st Standards
On this one page website sharpen your logic, triangle properties, and pattern recognition skills while working on this challenge. The solution is available to double check your solution.