Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Inscribed Squares
In terms of "this inscribed in that", what do we have here?
Describe the squares and their sizes compared to the circle.
1. If you were to calculate distances (radii, side lengths) or areas, what given information would you like to start with and what would you like to solve for?
- What "givens -- answer" path would be easiest?
- What "givens -- answer" path would be difficult?
- Which would you choose to give to your fellow students as a collaborative question?
N.B. The original question is slightly different. You can see it below.
Original image, click to enlarge.
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
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Source:
SolveMyMaths
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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
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