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...
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...
Activity
Noyce Foundation

Poly-Gone

For Students K - 12th Standards
Investigate polygons from rectangles to triangles to octagons. Each level of the five-problem series targets a different grade level. Beginning with the level A problem, learners examine the relationship between area and perimeter by...
Activity
Noyce Foundation

Cubism

For Students K - 12th Standards
If cubism were a religion, would you follow it? Lower-level tasks focus primarily on counting the number cubes in a structure and relating the number to surface area. As learners progress to higher-level tasks, isometric drawings and...
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...
Activity
Noyce Foundation

Lyle's Triangles

For Students K - 12th Standards
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
Activity
101 Questions

Apple Mothership

For Teachers 9th - 12th Standards
Explore Apple's spaceship office building. Built in the shape of a circle, the office building offers a unique floor plan challenge. Young scholars use the dimensions of the building to estimate the square footage for each employee. 
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree? (Version 2)

For Teachers 9th - 12th Standards
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Activity
Noyce Foundation

Piece it Together

For Students K - 12th Standards
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Lesson Plan
Curated OER

Glasses

For Teachers 7th - 9th Standards
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
Lesson Plan
Curated OER

Math: The Cathedral Project

For Teachers 2nd
Second graders take a field trip to a nearby church or other historical building and examine it from a mathematical perspective. In groups, they calculate the seating capacity, describe the window patterns, differentiate types of...
Activity
Illustrative Mathematics

Why Randomize?

For Teachers 9th - 12th Standards
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
Activity
University of Georgia

University of Georgia: Texas Area Estimate

For Students 9th - 10th
Drawings and discussion of several methods to estimate the area of an irregular shape, like the state of Texas.
Activity
Shodor Education Foundation

Shodor Interactivate: More or Less Estimator

For Students 4th - 8th
Practice your estimation skills by comparing the number of objects shown, the length of a curve or the area of a shape to a given number. Your choices are "greater than" or "less than".
Activity
Washington State University

Washington State University: Estimate the Area Under a Curve

For Students 9th - 10th
You can have a good time with this java applet that lets you place adjustable shapes under a curve and then sums the areas to approximate the area of the curve.
Activity
TeachEngineering

Teach Engineering: A Chance at Monte Carlo

For Teachers 9th - 10th
At its core, the LEGO MINDSTORMS product provides a programmable microprocessor. Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying...