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Students will be able to solve quadratic equations by graphing and using square roots.

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Students play a game in pairs where one member of the pair picks a single parabola from a collection and the other asks yes/no questions in an attempt to guess which parabola their partner chose. The game provides students with a reason for noticing important features of parabolas—how else will you tell them apart?—and this in turn provides a need for words to name these features. “Does your graph cross the x-axis twice?” is a common question in Polygraph that leads to naming roots, for example. Some of this vocabulary development is built into the structure of the activity; classroom discussion following the activity can provide more of it. 

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Students play a game in pairs where one member of the pair picks a single parabola from a collection and the other asks yes/no questions in an attempt to guess which parabola their partner chose. The game provides students with a reason for noticing important features of parabolas—how else will you tell them apart?—and this in turn provides a need for words to name these features. “Does your graph cross the x-axis twice?” is a common question in Polygraph that leads to naming roots, for example. Some of this vocabulary development is built into the structure of the activity; classroom discussion following the activity can provide more of it. 

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-What are some examples of the catapults in real life, and which (if any) do you use?
-What do you think makes one catapult better than another?
-What do you think is the ultimate goal or purpose of a building catapult?
How do you make more accurate model

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If you were Old Stone Age how would you use mathematics to build a catapult?

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Popsicle sticks, rubber bands, a plastic spoon, and a hot glue gun

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How To Make A Spoon Catapult Out Of Popsicle Sticks

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How To Make A Spoon Catapult Out Of Popsicle Sticks

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How To Make A Spoon Catapult Out Of Popsicle Sticks. (HD)

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Homework

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The website for the activity

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We have designed Polygraph to foster the pleasure and the power of words without the drudgery of the lists. With Polygraph, Desmos provides tools for developing informal language into formal vocabulary. Because words should result from a need to describe our world—this is where they gain their powe…