Objective:
Child will be able to find the area of an irregular shape.
Essential Question(s):
What strategies can we use to find the area of an irregular shape?
Special Materials:
Paper and pencil for recording data
Bricks Required:
16×16 plates, 2×2 bricks, 2xN plates, 2×2 clear blue tiles
Project Structure
Engage/Explore:
- Show child a SOHO brick of your choosing and ask them to find the area of the brick using the SOHO studs as units.
- Provide time for child to solve the problem and facilitate their critical thinking.
- Pending their familiarity with area, you may have to do additional scaffolding.
- Solve the problem as a team, exploring ways of determining the area by adding and multiplying the studs. Review the idea that multiplication is just a faster way of adding.
- Ask child to design a 2-dimensional image of their choosing.
- Use no more than 3 colors of bricks.
- Bricks may not overlap.
- Ask child, “how might we find the area of the entire 2-dimensional image?”
- Provide child time to brainstorm their approach to solving the challenge.
- Have child map out their strategies, for example:
- Counting each dimple independently.
- Calculating the area of each color/type brick and multiplying by amount of bricks.
Explain
- Have child execute their chosen strategy to determine the area of their image.
- Child should keep track of their data in a table.
- When they are finished, have the child reflect on their process for determining the area.
- What techniques did they use to determine the area?
- Was their method the simplest and most efficient way to determine area, or did they modify their strategy as they went?
Elaborate
- Ask child to repeat the process using a different method than the first time.
- For an added challenge, ask child to determine the areas using metric units.