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Archimedes' Puzzle
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In this math activity, learners explore the history of the Stomachion (an ancient tangram-type puzzle), use the pieces to create other figures, learn about symmetry and transformations, and investigate the areas of the pieces. The Stomachion, believed to have been created by Archimedes, consists of 14 pieces cut from a square, which can be rearranged to form other interesting shapes.

Subject:
Mathematics
Geometry
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
NCTM Illuminations
Samuel E. Zordak
Thinkfinity/Verizon Foundation
Date Added:
11/09/2008
Building Big
Restricted Use
Copyright Restricted
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This is a great lab that walks students through interactive labs that include Forces, Loads, Materials and Shapes and how they affect the way we design and build structures.  Pairs really nicely with any design and build lab assignments like Bridges, Cranes, etc.

Subject:
Career and Technical Education
Technology and Engineering
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Simulation
Provider:
PBS
Date Added:
03/15/2017
Connect the Dots: Isometric Drawing and Coded Plans
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Educational Use
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Students learn about isometric drawings and practice sketching on triangle-dot paper the shapes they make using multiple simple cubes. They also learn how to use coded plans to envision objects and draw them on triangle-dot paper. A PowerPoint® presentation, worksheet and triangle-dot (isometric) paper printout are provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Experimenting with Symmetry
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners use pattern blocks and mirrors to explore symmetry. Learners work in pairs and build mirror images of each other's designs. In doing so, learners will examine principles of symmetry and reflection.

Subject:
Physics
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Exploring Tessellations (Grades 6-8)
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Exploring Tessellations (Grades K-2)
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations that are appropriate for varying grades and levels.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Geometric Pictures of One Half
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task presents students with some creative geometric ways to represent the fraction one half. The goal is both to appeal to students' visual intuition while also providing a hands on activity to decide whether or not two areas are equal.

Subject:
Mathematics
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/01/2012
Geometry
Unrestricted Use
CC BY
Rating
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This course is oriented toward US high school students. Its structure and materials are aligned to the US Common Core Standards. Foci include: formulas for calculating the volume of prisms, cylinders, pyramids, cones, and spheres; and assist you in using geometric modeling to solve problems involving three-dimensional figures.

Subject:
Geometry
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
10/13/2017
Geometry Problems: Circles and Triangles
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties: solving problems by determining the lengths of the sides in right triangles; and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Date Added:
11/01/2017
Grade 1 Module 5: Identifying, Composing, and Partitioning Shapes
Conditional Remix & Share Permitted
CC BY-NC-SA
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In Module 5, students consider part–whole relationships through a geometric lens. The module opens with students identifying the defining parts, or attributes, of two- and three-dimensional shapes, building on their kindergarten experiences of sorting, analyzing, comparing, and creating various two- and three-dimensional shapes and objects. Students combine shapes to create a new whole: a composite shape. They also relate geometric figures to equal parts and name the parts as halves and fourths. The module closes with students applying their understanding of halves to tell time to the hour and half hour.

Subject:
Geometry
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
10/20/2013
Grade K Module 2:  Two-Dimensional and Three-Dimensional Shapes
Conditional Remix & Share Permitted
CC BY-NC-SA
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Module 2 explores two-dimensional and three-dimensional shapes.  Students learn about flat and solid shapes independently as well as how they are related to each other and to shapes in their environment.  Students begin to use position words when referring to and moving shapes.  Students learn to use their words to distinguish between examples and non-examples of flat and solid shapes.

Subject:
Geometry
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
07/05/2013
Grade K Module 6: Analyzing, Comparing, and Composing Shapes
Conditional Remix & Share Permitted
CC BY-NC-SA
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Kindergarten comes to a close with another opportunity for students to explore geometry in Module 6. Throughout the year, students have built an intuitive understanding of two- and three-dimensional figures by examining exemplars, variants, and non-examples. They have used geometry as a context for exploring numerals as well as comparing attributes and quantities. To wrap up the year, students further develop their spatial reasoning skills and begin laying the groundwork for an understanding of area through composition of geometric figures.

Subject:
Geometry
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
11/28/2013
Kindergarten Geometric Subitizing Routine Quarter 3
Conditional Remix & Share Permitted
CC BY-NC
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This google slide show is for use with kindergarten students as a routine to build number sense and use of geometric vocabulary. Geometric images are used to use as a springboard for discussion. How many? How did you see it? How many sides? How many faces? What shapes did you see?

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Kelly Schaefer
Katie Campbell
Date Added:
08/02/2019
Let’s Learn about Spatial Viz!
Read the Fine Print
Educational Use
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Spatial visualization is the study of two- and three-dimensional objects and the practice of mental manipulation of objects. Spatial visualization skills are important in a range of subjects and activities like mathematics, physics, engineering, art and sports! In this lesson, students are introduced to the concept of spatial visualization and measure their spatial visualization skills by taking the provided 12-question quiz. Following the lesson, students complete the four associated spatial visualization activities and then re-take the quiz to see how much their spatial visualization skills have improved.

Subject:
Mathematics
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Let’s Take a Spin: One-Axis Rotation
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Educational Use
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Students learn about one-axis rotations, and specifically how to rotate objects both physically and mentally to understand the concept. They practice drawing one-axis rotations through a group exercise using cube blocks to create shapes and then drawing those shapes from various x-, y- and z-axis rotation perspectives on triangle-dot paper (isometric paper). They learn the right-hand rule to explore rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Emily Breidt
Emily C. Gill
Engineering Plus Degree Program, University of Colorado Boulder
Jacob Segil
Date Added:
10/13/2017
Make Your Own Puzzle
Conditional Remix & Share Permitted
CC BY-NC-SA
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This instructional task gives students a hands-on experience with composing and decomposing geometric figures.

Subject:
Mathematics
Geometry
Measurement and Data
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/09/2012
Making a Translation Tessellation
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners slide shapes to create unusual tiled patterns. Learners transform a rectangle into a more interesting shape and then make a tessellation by repeating that shape over and over again. Learners will also calculate the area of a rectangle. This activity works best as a "centers" activity.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010