Introduction: In this problem you will create a number of shapes and experiment with them.

Problem:

1. On a piece of paper, use a ruler to draw a rectangle that is 6 cm x 8 cm. Cut out the rectangle and then cut along one diagonal to make two triangles.
2. Use your two triangular pieces and, without overlapping them, fit them together to form as many shapes as possible. Draw a sketch of each of your created shapes. Include in your sketches shapes with the fewest number of sides possible. Also include ones you created with the greatest number of sides possible.
3. Measure or calculate and state the area and perimeter of each of the shapes you created.
4. Do the areas of the shapes differ? Do their perimeters differ? State the highest and lowest values you found for the areas and perimeters of these shapes.
5. Label each sketch with the most specific name for the created shape.

Materials: paper, pencil, ruler, scissors, calculator

Extra Questions: Start with a square (8 cm x 8 cm), cut along one diagonal, and repeat the activity of making shapes. Can you make more or fewer shapes when you start with the square? Can you make any different shapes when you start with the square compared to when you start with the rectangle? Explain.

Geometry, measurement, area , perimeter, critical and creative thinking, communication

  Activity Type:

Group      Individual 

  Assessment:

Scale:    Levels 1-5   
Self     Peer     Teacher 
Include in your portfolio?
Yes     No     Optional 
Toward Your Marks?
Yes     No     Optional 

  Hints: