Tasks for exploring math that are likely outside the school curriculum
Task 1. What can you do with 4 identical isosceles right triangles?
Go here: Mathigon Polypad.
Add four identical isosceles right triangles to the work space:
Explore what you can create when you place the triangles in such a way that they have a side in common.
For example, this is a hexagon:
Did you make a single triangle? a square? a non-square rectangle? a non-special parallelogram? a trapezoid?
Task 2. Sharing a cake
Go here: 25-pin geoboard
Jessica pretended to make a cake in this shape on her geoboard:
Show all the ways she can "cut" the cake into two equal shares for herself and her brother James.
Task 3. Towers
Go here: Unifix
Here are some examples of a unifix tower 5 cubes tall:
Find all the ways you can make a tower 3 unifix cubes tall when you have two colors, brown and yellow, available.