Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Wait a Minute, Square.
Take a moment to check that each piece in the top diagram is identical to its counterpart in the bottom one.
If you want to recreate this in Geogebra ...
1. turn on grid.
2. insert the polygons in this order: green triangle, black rectangle, yellow L-shape.
3. insert a segment up the "middle" at the appropriate x-position.
4. locate the intersection point of the segment and the hypotenuse of the triangle.
5. insert the two final polygons.
6. Click on each polygon, and copy-paste and build the second figure below the first one.
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
.
Source:
internet
More Information:
Noticing and wondering is a tool to help students:
- Understand the story, the quantities, and the relationships in the problem.
- Understand what the problem is asking and what the answer will look like. Have some ideas to begin to solve the problem.
More Here at NCTM
Noticing and wondering is a tool to help students:
- Understand the story, the quantities, and the relationships in the problem.
- Understand what the problem is asking and what the answer will look like. Have some ideas to begin to solve the problem.
More Here at NCTM
++