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Polygons: IM 6.1.11
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1. Lesson 6.1.11
- IM 6.1.11 Lesson: Polygons
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2. Practice 6.1.11
- IM 6.1.11 Practice: Polygons
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Polygons: IM 6.1.11
GeoGebra Classroom Activities, Jul 29, 2020
“Polygons” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.1.11
- IM 6.1.11 Lesson: Polygons
- Practice 6.1.11
- IM 6.1.11 Practice: Polygons
IM 6.1.11 Lesson: Polygons
Which one doesn't belong?
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Here are five polygons:
Here are six figures that are not polygons:
Here are six figures that are not polygons:
Circle the figures that are polygons.
What do the figures you circled have in common? What characteristics helped you decide whether a figure was a polygon?
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Find the area of two quadrilaterals of your choice. Show your reasoning.
Here is a trapezoid. a and b represent the lengths of its bottom and top sides. The segment labeled h represents its height; it is perpendicular to both the top and bottom sides.
Apply area-reasoning strategies—decomposing, rearranging, duplicating, etc.—on the trapezoid so that you have one or more shapes with areas that you already know how to find. Use the shapes to help you write a formula for the area of a trapezoid.
What formula, for the area of a trapezoid, were you able to write above? Show your reasoning.
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Find the area of the shaded region in square units. Show your reasoning.
IM 6.1.11 Practice: Polygons
Select all the polygons.
Mark each vertex with a point.
How many edges and vertices does this polygon have?
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Find the area of this trapezoid.
Explain or show your strategy.
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Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides. Lin decomposed the hexagon into six identical, equilateral triangles. Andre decomposed the hexagon into a rectangle and two triangles.
Find the area of the hexagon using each person’s method. Show your reasoning.
Identify a base and a corresponding height that can be used to find the area of this triangle. Label the base b and the corresponding height h. Find the area of the triangle. Show your reasoning.
On the grid, draw three different triangles with an area of 8 square units. Label the base and height of each triangle.
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