Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 247

Orthic Triangle

What do you notice about the "orthic triangle"?




Is its area related to the area of ABC?

Is it similar?

What other triangles could be made with other features of triangle ABC (medians, angle bisectors)?


What other mathematical aspects of this caught your attention? What do you wonder about the situation?

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Notice, Wonder
SolveMyMaths
GEOM

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


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