Context 14 - Modeling Cancer Cells
star
star
star
star
star
Last updated over 1 year ago
26 questions
Note from the author:
MMR Resources
1
Record the new generation number and corresponding population
Record the new generation number and corresponding population
1
Sketch a graph of your simulation data.
Sketch a graph of your simulation data.
1
Enter your data into the Desmos Graph below and then screenshot the result.Desmos Link
Enter your data into the Desmos Graph below and then screenshot the result.
Desmos Link
1
What was the minimum number of cancer cells in the simulation done in Part One? Explain your thinking.
What was the minimum number of cancer cells in the simulation done in Part One? Explain your thinking.
1
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?
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?
1
What are the two changing quantities (two variables) in this scenario?
What are the two changing quantities (two variables) in this scenario?
1
Which is the independent variable? (This is the part that changes on its own)
Which is the independent variable? (This is the part that changes on its own)
1
Which is the dependent variable? (This is the part that only changes when the independent variable changes)
Which is the dependent variable? (This is the part that only changes when the independent variable changes)
1
What is the domain values for the relationship in the simulation? (This is all the numbers from the independent variable group)
What is the domain values for the relationship in the simulation? (This is all the numbers from the independent variable group)
1
What is the range values for the relationship in the simulation? (This is all the numbers from the dependent variable group)
What is the range values for the relationship in the simulation? (This is all the numbers from the dependent variable group)
1
On the graph of the simulation data in #3, would it make sense to connect the data points? Why or why not?
On the graph of the simulation data in #3, would it make sense to connect the data points? Why or why not?
1
What would a generation number of 3.5 mean in the context of the simulation?
What would a generation number of 3.5 mean in the context of the simulation?
1
Enter your data into Stapplet. What type of function best models the simulation data?
Enter your data into Stapplet.
What type of function best models the simulation data?
1
Using your results from Stapplet, write the equation that would model your data.
Using your results from Stapplet, write the equation that would model your data.
1
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?
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?
1
What are the domain and range for your graph?
What are the domain and range for your graph?
1
What do you suppose the domain is for the real-world situation of cancer cells spreading?
What do you suppose the domain is for the real-world situation of cancer cells spreading?
1
What do you suppose the range is for the real-world situation of cancer cells spreading?
What do you suppose the range is for the real-world situation of cancer cells spreading?
1
How many cancer cells does the model predict there would be after 25 generations? Explain.
How many cancer cells does the model predict there would be after 25 generations? Explain.
1
How many cancer cells does the model predict there would be after 50 generations? Explain.
How many cancer cells does the model predict there would be after 50 generations? Explain.
1
How many generations will it take to reach 1 million cancer cells? Why? Explain the method you used.
How many generations will it take to reach 1 million cancer cells? Why? Explain the method you used.
1
How many generations will it take to reach 2 million cancer cells?
How many generations will it take to reach 2 million cancer cells?
1
How many generations will it take to reach 1 Billion cancer cells? (One billion cells would be a tumor with a 2-cm diameter.)
How many generations will it take to reach 1 Billion cancer cells?
(One billion cells would be a tumor with a 2-cm diameter.)
1
What is the growth factor of your model?
What is the growth factor of your model?
1
How would the model change if the simulation started with seven M&Ms for Generation 0? Explain your thinking.
How would the model change if the simulation started with seven M&Ms for Generation 0? Explain your thinking.
1
How would the model change if three M&Ms were added for each M&M appearing face up? Explain your thinking.
How would the model change if three M&Ms were added for each M&M appearing face up? Explain your thinking.