Title: Default for Grade 6 -3
Course: Illustrative Mathematics Grade 6 Unit 6

Go to this Geogebra page and then past your answer below

[url=https://im.kendallhunt.com/MS/teachers/1/1/3/preparation.html]“Reasoning to Find Area”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].

A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches.

1. Regardless of the size she chooses, she will need the same number of tiles.
2. Regardless of the size she chooses, the area of the wall that is being tiled is the same.
3. She will need two 2-inch tiles to cover the same area as one 4-inch tile.
4. She will need four 4-inch tiles to cover the same area as one 8-inch tile.
5. If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles.

 State if you agree with each statement about the tiles. Explain your reasoning.

Two plots of land have very different shapes. Noah said that both plots of land have the same area.

Do you agree with Noah? Explain your reasoning.

[Image: 2 areas]

Find the area of each shaded region. Explain your reasoning.

[Image: 4 shapes]

Find the area of each shaded region. Explain your reasoning.

[Image: 3 shapes]

[Image: 3 shapes]

Find the area of the shaded region(s) of each figure.

[Image]

Is the area of Figure A greater than, less than, or equal to the area of the shaded region in Figure B? Explain your reasoning.

[Image: 4 rectangles]

Each grid square is 1 square unit. Find the area, in square units, of each shaded region without counting every square. Explain your reasoning.