Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Tangency
Graph of \(y=a-x^2\) is tangent to \(x^2+y^2=1\)
If \(a>1\), determine value of \(a\) and the points of tangency. Notice anything?
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
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Source:
David Martin
Graph of y=a-x² is tangent to x²+y²=1
— David Marain (@dmarain) September 21, 2020
If a>1, determine value of 'a' and the points of tangency. Notice anything?@jamestanton #MTBoS #Math #Maths #math pic.twitter.com/56l4s8SFRH
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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