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Context 14 - Modeling Cancer Cells

Last updated almost 2 years ago

26 questions

Note from the author:

MMR Resources

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Question 1

1.

Record the new generation number and corresponding population

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Question 2

2.

Sketch a graph of your simulation data.

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Question 4

4.

What was the minimum number of cancer cells in the simulation done in Part One? Explain your thinking.

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Question 5

5.

In your graph of the data in Part One, how can a person see this minimum number of cancer cells? That is, where does it show up on the graph?

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Question 9

9.

What is the domain values for the relationship in the simulation? (This is all the numbers from the independent variable group)

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Question 16

16.

What are the domain and range for your graph?

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Question 17

17.

What do you suppose the domain is for the real-world situation of cancer cells spreading?

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Question 21

21.

How many generations will it take to reach 1 million cancer cells? Why? Explain the method you used.

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Question 3

3.

Enter your data into the Desmos Graph below and then screenshot the result.
Desmos Link

Question 6

6.

What are the two changing quantities (two variables) in this scenario?

Question 7

7.

Which is the independent variable? (This is the part that changes on its own)

Question 8

8.

Which is the dependent variable? (This is the part that only changes when the independent variable changes)

Question 10

10.

What is the range values for the relationship in the simulation? (This is all the numbers from the dependent variable group)

Question 11

11.

On the graph of the simulation data in #3, would it make sense to connect the data points? Why or why not?

Question 12

12.

What would a generation number of 3.5 mean in the context of the simulation?

Question 13

13.

Enter your data into Stapplet.
What type of function best models the simulation data?

Linear

Quadratic

Exponential

Question 14

14.

Using your results from Stapplet, write the equation that would model your data.

Question 15

15.

Graph your equation from #14 in Desmos and compare to the scatter plot you took a screenshot of on #3. Did the results look similar?

Question 18

18.

What do you suppose the range is for the real-world situation of cancer cells spreading?

Question 19

19.

How many cancer cells does the model predict there would be after 25 generations? Explain.

Question 20

20.

How many cancer cells does the model predict there would be after 50 generations? Explain.

Question 22

22.

How many generations will it take to reach 2 million cancer cells?

Question 23

23.

How many generations will it take to reach 1 Billion cancer cells?
(One billion cells would be a tumor with a 2-cm diameter.)

Question 24

24.

What is the growth factor of your model?

Question 25

25.

How would the model change if the simulation started with seven M&Ms for Generation 0? Explain your thinking.

Question 26

26.

How would the model change if three M&Ms were added for each M&M appearing face up? Explain your thinking.