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Name: ______________________________________________________ Date: ______________
Learning Goal Lab #: ________ Title: __Pythagoras in 3D – Juice Box ____
Ask a Driving Ques/on
What do you no/ce? What does this remind you of?
Es/mate
Too high
Too low
Try it! Calculate
Are you correct? No? Try again! What did you do differently this /me?
How much should the straw sCck out of the box so someone could drink from it? ______________________________
Assume you put the hole at the corner (vertex) of the box. How long would the straw need to be? _________________
Is there a beNer place to put the hole than the corner? Where and why? How long would the straw need to be then? ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
How can you store a straw of that length on the juice box when you package them up? ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Can you generalize your process so that it can be used no maNer what size the juice box is?
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Name: ______________________________________________________ Date: ______________
Learning Goal Lab #: ________ Title: Pythagoras in 3D – Shipping Long Objects
Ask a Driving Ques/on
What do you no/ce? What does this remind you of?
Es/mate
Too hig
h
Too low
Try it! Calculate
Are you correct? No? Try again! What did you do differently this /me?
How tall does the box need to be for the rod to fit? ______________________________Can you generalize your process so that it can be used for any sized box?______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Is this the best way to pack the box? What size box would be beNer? Would it be beNer to just use a long box? Why or why not? ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________What is the smallest volume box you can use to fit the rod? ________________________________________________We’ve been assuming the rod has a width of 0. What if it is wider? How would that change? ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Name: ______________________________________________________ Date: ______________
Learning Goal Lab #: ________ Title: Pythagoras in 3D – Radio/Cell Towers
Ask a Driving Ques/on
What do you no/ce? What does this remind you of?
Es/mate
Too high
Too low
Try it! Calculate
Are you correct? No? Try again! What did you do differently this /me?
How long would each guy line need to be? ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Can you generalize your process for different tower heights and guy wire distances?
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What do you think the best arrangement and distances for the guy lines of this tower would be? Why?
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