Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Dodecagon Squares
A regular dodecahedron is inscribed in a circle of radius 1 and squares are erected on two of its sides.
What questions would you like to ask about this figure?
Which question seems the most difficult?
Which question seems the easiest?
Dave asks: What is the area of triangle MPG? Ans in radical form - no calculator.
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
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Source:
David Marain
A regular dodecahedron is inscribed in a circle of radius 1 and squares are erected on two of its sides. What is the area of triangle MPG? Ans in radical form - no calculator@Cshearer41 @jamestanton @johnjoy1966 @HarMath #MTBoS #geometry #Math pic.twitter.com/CScy0zyioI
— David Marain (@dmarain) September 15, 2020
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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