Download Do Now:

Do Now:
Hint:
Round you answer to the nearest integer divisible by 10.
1in = .0254m
Mrs. Pizzonia is 5ft 2inches tall. How many centimeters is she?
Miss Ludington is 5ft 6inches tall. How many centimeters is she?
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The Question
How many Styrofoam cups would you have to stack to reach the top of your math teacher’s head?
Complete the table by measuring the height of the cup stack.
# of cups
Total height of
cups (cm)
Plot the points:
1
2
3
4
5
6
7
8
9
Insert a picture of the Styrofoam cup and label the two different parts of the cup:
Insert a picture of the stack of cups, label the following:
1.
The part of the cup matters most over the long run and explain how you came to this conclusion
2. The part remains constant when you add cups (what is this called in mathematical terms?)
3. The part that changes when you add cups (what is this called in mathematical terms?)
Answer the following questions:
1.
If I asked you to tell me how tall a stack of sixty cups would be, what would you do?
2. If I asked you to go backwards and tell me how many cups are in a 200-centimeter-tall stack, what
would you do?
3. Does it matter if you round to the nearest centimeter? Why or why not?
4.
Write a general equation for your data.
5. Using your equation, how many Styrofoam cups would it take to reach the top of your math teacher’s
head?
Now apply what you have learned to a new style of cup.
Before collecting your data, let’s discuss what you think you know:
1. Will this stack grow at a faster or slower rate than the Styrofoam cups? Why?
2. Will this stack start at a higher or lower height than the Styrofoam cups?
Now complete the table by measuring the height of the plastic cup stack.
# of cups
1
2
3
4
5
6
Total height of
cups (cm)
Plot the points:
Insert a picture of the plastic cup and label the two different parts of the cup:
7
8
9
Insert a picture of the stack of cups, label the following:
1.
The part of the cup matters most over the long run and explain how you came to this conclusion
2. The part remains constant when you add cups (what is this called in mathematical terms?)
3. The part that changes when you add cups (what is this called in mathematical terms?)
Answer these follow up questions:
1. Were your predictions correct?
2. What misconceptions did you have?
3. Write a general equation for your data.
4.
Using your equation, how many plastic cups would it take to reach the top of your math teacher’s
head?
Extension: If you were to graph both lines on the same coordinate grid, how many cups of each kind would be
needed for the heights of the two stacks to be about the same?