Let’s Practice!
How can I practice decomposing shapes?
Goal:
Goal:
You Can Do It!
Goal: Deconstruct a rectangle to find its area.
Remember, when you are trying to find the total area of something, you break it apart into smaller rectangular shapes. Then, you find the area of each part of the figure and add the sections together to get the total area.
A grid with a 6 units by 5 units on the bottom of the grid and a grid 2 unit by 4 units on the top. An arrow points to how we can deconstruct into two grids. The first grid is 5 units by 6 units. The second grid is 2 units by 4 units. Now we can get the area of the first grid 5 units times 6 units equals 30 square units. Next get the grid for the second grid 4 units times 2 units equals 8 square units. Now we add 30 square units plus 8 square units equals 38 square units.
Or
A grid with a 8 units by 4 units on the left of the grid and a grid 1 unit by 6 units on the right. An arrow points to how we can deconstruct into two grids. The first grid is 8 units by 4 units. The second grid is 1 units by 6 units. Now we can get the area of the first grid 4 units times 8 units equals 32 square units. Next get the grid for the second grid 1 units times 6 units equals 6 square units. Now we add 32 square units plus 6 square units equals 38 square units.
For each slide below, try the problem and find the total area of the figure. Then, click on the figure to check your work.
4 in
\({\times}\)
5 in
\({=}\)
20 in\({^2}\),
2 in
\({\times}\)
1 in
\({=}\)
2 in\({^2}\), 20 in\({^2}\)
\({+}\)
2 in\({^2}\)
\({=}\)
22 in\({^2}\)
2 in
\({\times}\)
4 in
\({=}\)
8 in\({^2}\),
6 in
\({\times}\)
3 in
\({=}\)
18 in\({^2}\), 8 in\({^2}\)
\({+}\)
18 in\({^2}\)
\({=}\)
26 in\({^2}\)
7 cm
\({\times}\)
5 cm
\({=}\)
35 cm\({^2}\),
2 cm
\({\times}\)
2 cm
\({=}\)
4 cm\({^2}\), 35 cm\({^2}\)
\({+}\)
4 cm\({^2}\)
\({=}\)
39 cm\({^2}\)
You know your multiplication facts and how to solve for area. Find the area of the figures using decomposition.
What is the total area?
- 30 m\({^2}\)
- 37 m\({^2}\)
- 35 m\({^2}\)
- 49 m\({^2}\)
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Correct! You broke the shape into smaller sections and added them together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
What is the total area?
- 60 ft\({^2}\)
- 30 ft\({^2}\)
- 100 ft\({^2}\)
- 76 ft\({^2}\)
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Correct! You broke the shape into smaller sections and added them together.
What is the total area?
- 71 ft\({^2}\)
- 55 ft\({^2}\)
- 99 ft\({^2}\)
- 76 ft\({^2}\)
Correct! You broke the shape into smaller sections and added them together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Remember to break the shape into smaller sections, find the area of each section, then add the different areas together.
Summary
Questions answered correctly:
Questions answered incorrectly: