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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...
Activity
101 Questions

Coffee Traveler

For Teachers 9th - 12th Standards
Investigate the volume of irregular figures in an inquiry-based exercise. Presented with an irregularly shaped box filled with water, learners must predict the level of water when it is tipped on its side. The class can divide...
Activity
North Carolina State University

Shapes

For Teachers K - 2nd
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...
Activity
101 Questions

Thanksgiving Taters

For Teachers 6th - 8th Standards
What would a meal be without the taters? The question is, how long does it take to peel those potatoes? Given the rate of peeling one potato, scholars predict the time it takes to peel the bag. The twist is that the first potato was...
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...
Activity
101 Questions

You Pour, I Choose

For Teachers 9th - 12th Standards
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
Activity
Noyce Foundation

Cutting a Cube

For Students K - 12th Standards
Teach the ins and outs of the cube! A series of five K–12 level activities explore the make-up of the cube. The beginning lessons focus on the vocabulary related to the cube. Later lessons explore the possible nets that describe a cube....
Activity
Florida Center for Instructional Technology

Two for One Box Company

For Teachers 4th - 6th
Given a box of certain dimensions, young mathematicians must determine if a box that is twice as big, actually holds twice as much. This is a brain-teaser of a problem. The worksheet provides a handy table that has learners calculate the...
Activity
Illustrative Mathematics

Grass Seedlings

For Teachers 4th - 6th Standards
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Math Challenges for Families

For Students 2nd - 8th
Students, teachers, and parents alike will enjoy this challenging math site. It contains a clever brain teaser section plus creative problems related to algebra, geometry, measurement, numbers, statistics, and probability. A Spanish...
Activity
University of Cambridge

University of Cambridge: Nrich: Building With Solid Shapes

For Students 1st - 2nd Standards
Predict which solid shape constructions would be unstable as shown at this one page website. Solutions are available right at the website.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Geometry in Space

For Students 9th - 10th Standards
Twenty-four problems covering a variety of solid figure topics: dimensions, volume, surface and base areas. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
Activity
Maths Challenge

Maths challenge.net: Spider Fly Distance

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math skills to figure the shortest distance between the opposite corners of a cuboid.
Activity
University of Regina (Canada)

University of Regina: Math Central: Surface Area to Volume Ratio

For Teachers 9th - 10th
Students will investigate the relationship between surface area and volume and their application to the inner workings of real life organisms.
Activity
University of Cambridge

University of Cambridge: Maths and Sports: A Question of Balance

For Students 9th - 10th
These project ideas explore moment of inertia and its consequences in a number of different sports including diving, gymnastics and cycling, and encourage investigation, experiment and discussion. This activity is aimed at higher level...
Activity
History is Fun

Jan Brett: Geometric Solids Flashcards Pdf

For Students 1st - 3rd Standards
Print out these colorfully illustrated PDF file pages to practice learning your basic three dimensional geometric solids. Fold them in half and one side shows the shape while the other side shows the shape with the correct name. Put them...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Cut the Cake

For Students 2nd - 6th Standards
A math challenge where geometry, measurement, and problem solving meet. Explore the properties of three dimensional shapes when you discover how six friends can equally divide a nine inch square chocolate cake. A one page activity from...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Traveling on Good Circles

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this high-level math lesson has students delve into the topic of Great Circles on a sphere (specifically, the Earth), in order to find the shortest distances between locations. Students will...
Activity
University of Cambridge

University of Cambridge: Nrich: Instant Insanity

For Students 3rd - 8th Standards
Excellent interactive challenge working with cube nets to stack them in a specific order. Manipulate the cubes online to solve the problem.
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: Triangles to Tetrahedra

For Students 3rd - 8th Standards
Given an unlimited number of a specific type of equilateral, isosceles, and right triangles create as many tetrahedra as are possible. Includes printout.
Activity
University of Cambridge

University of Cambridge: Nrich: Christmas Presents

For Students 3rd - 8th Standards
Improve your logic and net recognition skills with this learning game. Solution included.
Activity
University of Cambridge

University of Cambridge: Nrich: Making Cuboids

For Students 3rd - 8th Standards
How many different cuboids can you make? Learn how and learn how to represent data with your results.
Activity
University of Cambridge

University of Cambridge: Nrich: Octa Space

For Students 3rd - 4th Standards
At this one page web site see if you can solve this puzzle involving the edges of an octahedron. You will definitely need to use your problem solving and spatial reasoning skills for this!

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