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Shapes and Solids of Constant Width Instructional VideoShapes and Solids of Constant Width Instructional Video
Publisher
Numberphile
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
6th - 12th
Subjects
Math
3 more...
Resource Type
Instructional Videos
Media Length
9:28
Audiences
For Teacher Use
1 more...
Duration
10 mins
Instructional Strategy
Direct Instruction
Technology
Video
Internet Access
Year
2013
Usage Permissions
Fine Print
Instructional Video

Shapes and Solids of Constant Width

Curated and Reviewed by Lesson Planet

Roll right along with an informative lesson that makes cents. Scholars learn that some shapes roll without any change in its width. The video in the Numberphile "Coins" series starts with two-dimensional figures, such as Reuleaux triangles and British 50 pence coins, and then continues on to three-dimensional shapes, such as Meissner tetrahedra.

3 Views 1 Download

Concepts

2-d shapes, 3-d figures, width

Additional Tags

math

Instructional Ideas

  • Team up with a technology teacher and have learners cut out Reuleaux triangles
  • If available, have samples of shapes or solids of constant width available for pupils to play with

Classroom Considerations

  • Individuals need to understand how circles and spheres have a constant diameter
  • This video is hosted on YouTube

Pros

  • Narrator's antics provide some comic moments
  • Video is interesting and informative

Cons

  • None

See similar resources:

Assessment

Area of Compound Shapes

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CCSS: Adaptable
Handout

Triangles

McGraw Hill
After reviewing characteristics of seven types of triangles, young geometers discover how to find the missing angle of a triangle. Then, they practice identifying triangles, find missing angles, and find missing side lengths of...
4th - 7th Math
CCSS: Adaptable
Handout

The Sum of Angles in a Triangle

Charleston School District
An informative lesson contains a brief explanation of how the sum of the angles of a triangle is a line. The lesson continues with determining the missing angle in a triangle, or solving for a variable. Using the sum of the...
8th Math
CCSS: Designed
Lesson Plan

Classifying Triangles

National Security Agency
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy...
4th - 8th Math
CCSS: Adaptable
Instructional Video

Find the Base of a Triangle Given Area

Mathispower4u
Base a lesson on an informative video perfect for expanding your class's knowledge of triangles. Young mathematicians watch a brief YouTube video that teaches how to solve for the base of a triangle given its height and area. It also...
3 mins 7th - 10th Math
CCSS: Adaptable
Lesson Plan

Triangle Area

Shodor Education Foundation
While the instructional activity focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in...
6th - 9th Math
CCSS: Adaptable
Lesson Plan

Writing Takes Shape!

Curated OER
Students read The Greedy Triangle and discuss geometric solids. In this geometry lesson plan, students list the geo-solids in the world and create a graphic organizer to show where geo-solids exist.
4th - 8th Math
Unit Plan

Cut the Knot!: Shapes of Constant Width

Cut the Knot
Description of what constant width means along with the question "are there shapes of constant width?". [Requires Java.]
9th - 10th Math
Activity

Stay in Shape

Teach Engineering
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
7th - 9th Math
CCSS: Designed
Instructional Video

Constructing SAS Triangles

Corbett Maths
Two sides and an angle ... a triangle it makes. Given the measure to two sides and the angle between them, the narrator of a short video shows how to draw a triangle with a ruler and protractor. Pupils use handouts to practice the newly...
2 mins 8th - 11th Math
CCSS: Adaptable
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