Area (or KEVA²)
OBJECTIVE: Students will calculate the areas of rectangles with KEVA planks.
- 25 planks per student
- KEVA² Data Sheet per student
Discuss the concept of area being the space inside a two-dimensional figure.
“Today we will be measuring with a unit of measurement that is uniform but not the standard, such as a cubic inch or square centimeter. We will be using a KEVA square as our unit for measuring area.”
Show the class a KEVA square. Show how you could measure the area of a table with the KEVA².
Have the students construct a square using planks that will have an area of 1 KEVA². Constructed on the flat or side edges, the KEVA² will be the space enclosed inside the planks. Always measure the area on the inside of the KEVA figure.
Have the students construct a rectangle with an area of 4 KEVA². How many planks were used? [8 or 10] Did everyone’s look the same? [No] Explain that rectangles can have different perimeters but equal areas or equal perimeters and different areas.
Write the formula for area on the board:
As a class, construct rectangles with areas of 2 KEVA², 3 KEVA² and 4 KEVA².
Have the students form small groups to construct as many rectangles as they can with areas of 6 KEVA², 8 KKEVA², 12 KEVA², 24 KEVA².
MATH EXTENSION: Students could also calculate the perimeter of each rectangle and try to see how many different perimeters they can form for each area.
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