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  • CCSS.Math.Content.HSG-MG.A.1 - Use geometric shapes, their measures, and their properties to describe...
  • CCSS.Math.Content.HSG-MG.A.1 - Use geometric shapes, their measures, and their properties to describe...
Triangles Everywhere: Sum of Angles in Polygons
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Educational Use
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Students learn about regular polygons and the common characteristics of regular polygons. They relate their mathematical knowledge of these shapes to the presence of these shapes in the human-made structures around us, especially trusses. Through a guided worksheet and teamwork, students explore the idea of dividing regular polygons into triangles, calculating the sums of angles in polygons using triangles, and identifying angles in shapes using protractors. They derive equations 1) for the sum of interior angles in a regular polygon, and 2) to find the measure of each angle in a regular n-gon. This activity extends students’ knowledge to engineering design and truss construction. This activity is the middle step in a series on polygons and trusses, and prepares students for the Polygon and Popsicle Trusses associated activity.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Andi Vicksman
Maia Vadeen
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
Sabina Schill
Date Added:
02/07/2017
Use Cavalieri's Principle to Compare Aquarium Volumes
Unrestricted Use
CC BY
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This task presents a context that leads students toward discovery of the formula for calculating the volume of a sphere. Students who are given this task must be familiar with the formula for the volume of a cylinder, the formula for the volume of a cone, and CavalieriŐs principle.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/16/2012