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Context 14 - Modeling Cancer Cells

Last updated about 2 years ago

26 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

MMR Resources

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1.

Record the new generation number and corresponding population

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2.

Sketch a graph of your simulation data.

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3.

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

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4.

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

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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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6.

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

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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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16.

What are the domain and range for your graph?

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17.

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

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18.

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

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21.

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

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22.

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

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7.

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

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8.

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

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10.

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

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11.

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

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12.

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

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13.

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

Linear

Quadratic

Exponential

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14.

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

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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?

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19.

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

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20.

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

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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.)

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24.

What is the growth factor of your model?

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25.

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

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26.

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