
problem
Triangle in a square
Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
Can you use the given image to say something about the sum of an infinite series?
This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?