Geoboard is a wooden square board with pegs on which rubber bands are placed in various shapes.
Tasks with the solution:
One division between the pins represents one unit. Try to compile:
- A rectangle whose circumference is 12 units
- A rectangle with a circumference of 8 units
Solution:
- A rectangle with a circumference of 14 units and its contents are:
- 10 j2
- 12 j2
Solution:
- A triangle whose base is 2 units and its height is also 2 units.
- How many such triangles can you make?
Solution:
And their mirror variants
- What is the content of each triangle?
The contents of all triangles are the same because they are calculated as the base times the height and the result is divided by two. The size of the base and the height of all triangles do not change, and therefore their content is constant.
For the skillful:
On a field of 6×6 units, try to assemble:
- Model all possible shapes that have a circumference of 12 units.
Solution:
a) Do these shapes also have the same contents?
b) Is it possible to model a shape other than a square or rectangle, which will also have a circumference of 12 units?
- Model all possible shapes that have a content of 12j2
Solution:
a) Do these shapes also have identical circuits?
b) Is it possible to model a shape other than a square or rectangle, with a content of 12j2?
- Try to model a shape that has the same numerical circumference and content.
Solution:
