Rectangles
Rectangles
Objectives
- to continue developing a sense of area on the geoboard
- to realize that all squares are rectangles
- to experiment with geometric pattern making
5 x 5 geoboards (the kind that fit together to make a10 x 10 geoboard) and rubber bands (various sizes and colors)- at least five geoboards for the teacher and one for each student
5 x 5 geoboard dot paper (two sheets for each student)10 x 10 geoboard dot paper (for extended activities)- overhead projector; transparent geoboard or dot paper (with marking pens)
- Make a rectangle on your geoboard. What is its area?
- How many rectangles are there with base 1 unit long?
- How many rectangles are there with base 2 units long?
Find all possible rectangles on a
5 x 5 geoboard. (There is a total of 16 such rectangles, half of which are squares.)
Order each of the rectangles in the main activity by area. (The non-square rectangles have area 2, 3, 4, 4, 6, 6, 8, and 12 square units.)
- Make a rectangle with area 2 square units. Can you find another rectangle with this area?
- Can you find a rectangle and a square with the same area?
- There are three rectangles with area 4 square units. Can you find them?
- Find the perimeter of each of the rectangles in the main activity.
- Continue this pattern of rectangles on a
10 x 10 geoboard and complete the table:
- Continue this pattern of rectangles on a
10 x 10 geoboard and complete the table:
- Continue this pattern of rectangles on a
10 x 10 geoboard and complete the table:
- Continue this pattern of rectangles on a
10 x 10 geoboard and complete the table:
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