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IM 6.1.1 Practice: Tiling the Plane

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Which square—large, medium, or small—covers more of the plane? Explain your reasoning.

Draw three different quadrilaterals, each with an area of 12 square units.

Use the RIGID POLYGON tool to create several copies of the rectangle. Then show how these rectangles could tile the plane.

Use the RIGID POLYGON tool to create several copies of the rectangle. Then show how these rectangles could not tile the plane.

The area of this shape is 24 square units. Which of these statements is true about the area? Select all that apply.

Select all that apply

A
The area can be found by counting the number of squares that touch the edge of the shape.
B
It takes 24 grid squares to cover the shape without gaps and overlaps.
C
The area can be found by multiplying the sides lengths that are 6 units and 4 units.
D
The area can be found by counting the grid squares inside the shape.
E
The area can be found by adding and .

Check my answer (3)

Show one way for finding the area of the shaded region below. All angles are right angles.

Show another way for finding the area of the shaded region below that is different from method you used above. All angles are right angles.

Which shape has a larger area: a rectangle that is 7 inches by inch, or a square with side length of inches? Explain your reasoning.

Use the app below to help illustrate any written explanation you provide.

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