Squares

Contents || Math Lessons

[Materials] [Length] [Area] [Pick's Theorem] [Dot Paper] [Epilogue]

[Lines] [Squares] [Rectangles] [Parallelograms] [Right Triangles] [Bibliography]

## Objectives

- to begin to develop a sense of area on the geoboard
- to develop a working knowledge of order attributes (e.g.
between) with respect to area of squares- to experiment with geometric pattern making
## Materials

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 (one sheet for each student)10 x 10 geoboard dot paper (for extended activities)- overhead projector; transparent geoboard or dot paper (with marking pens)
## Warm-up activities

- With one rubber band, make a square on your geoboard. What is its area?
- Find the square on your geoboard with smallest area.
- Find the square on your geoboard with next smallest area.
- Find the square on your geoboard with largest area.
## Main activity

Find all possible squares on a

5 x 5 geoboard. (There is a total of 8 such squares.)## Homework

Order each of the squares in the main activity by area. (In order, the 8 squares have area 1, 2, 4, 5, 8, 9, 10, and 16 square units.)

## Extended activities

- On a
5 x 5 geoboard, find the square with next to largest area.

- Find a square with area between 4 and 9 square units. Can you find another square with area between 4 and 9 square units?

- What is the area of the shaded region below?

- Find the perimeter of each of the squares in the main activity.

- On a
10 x 10 geoboard, make a square using each of the line segments in Lesson 2. Which of these squares do not fit on a5 x 5 geoboard?

- Continue the pattern below on a
10 x 10 geoboard and complete the following table:

- Continue these patterns on a
10 x 10 geoboard:

- Order each of the squares in the previous activity by area.

[Materials] [Length] [Area] [Pick's Theorem] [Dot Paper] [Epilogue]

[Lines] [Squares] [Rectangles] [Parallelograms] [Right Triangles] [Bibliography]

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