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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
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
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Teach Engineering

Let's Take a Spin: One-Axis Rotation

For Students 6th - 12th Standards
Investigate the effect of one-axis rotations on geometric figures. Scholars learn to use snap cubes and the right-hand rule to draw figures after rotations about the x-, y-, or z-axes. They try their hands at examples created by the...
Activity
1
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Teach Engineering

Seeing All Sides: Orthographic Drawing

For Students 6th - 12th Standards
How can your draw three-dimensional figures on paper? The lesson shows pupils how to draw orthographic projections of three-dimensional figures composed of cubes. After viewing a PowerPoint presentation, they practice this skill with...
Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Lesson Plan
1
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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
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....
Activity
Mrs. Burke's Math Page

The Amazing Pi Race

For Teachers 7th - 12th Standards
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
Activity
PBS

Using Symmetry to Create Corporate Logos

For Teachers 4th - 8th Standards
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
Activity
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Teach Engineering

Connect the Dots: Isometric Drawing and Coded Plans

For Students 6th - 12th Standards
Individuals discover how to draw cubes on triangle-dot paper. They use cubes to build structures and draw corresponding isometric drawings on dot paper in the second lesson of the series of five. The activity also introduces the concept...
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
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Teach Engineering

New Perspectives: Two-Axis Rotation

For Students 6th - 12th Standards
Two-axis rotations ... twice the fun as one-axis rotations! The last installment of a five-part module teaches scholars how to conduct two-axis rotations. They create isometric drawings before and after the rotations.
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Curated OER

Star Wars: Rays and Angles Edition

For Teachers 4th Standards
Rays and angles and Star Wars? It sounds strange, but it's actually a fun game to help fourth graders get good at measuring and identifying angles and rays with a protractor. Each pair of children chooses which Star Wars character they'd...
Activity
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes

For Students 6th - 8th Standards
Learn about several three-dimensional geometric shapes and the terminology used to describe them. Learn how to calculate their surface area and volume, and explore their mathematical properties.
Activity
Science Buddies

Science Buddies: Project Ideas: How to Make an Aircraft Invisible to Radar

For Students 9th - 10th
In this engineering science fair project, students will determine which 3-D geometric shapes scatter light the most. The Science Buddies project ideas are set up consistently beginning with an abstract, objective, and introduction,...
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

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.

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