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Explore/Explain 3 Trials, Trials, Trials

Explore/Explain 3 Trials, Trials, Trials. What is the relationship between Experimental and Theoretical Probability?. To Do List Using the Simulation #1 Frequency Table, record the result of each of the 20 trials on the Group Activity Sheet.

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Explore/Explain 3 Trials, Trials, Trials

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  1. Explore/Explain 3 Trials, Trials, Trials

  2. What is the relationship between Experimental and Theoretical Probability?

  3. To Do List • Using the Simulation #1 Frequency Table, record the result of each of the 20 trials on the Group Activity Sheet. • Using Excel, create a spreadsheet and graph to represent the results of your activity. Tutorial: Trials, Trials, Trials Activity Creating a Table and Creating a Graph

  4. Gallery Walk Would you expect the graphs to be similar or different? Whatsimilarities would you expect to see? What differences would you expect to see?

  5. Were the graphs what you expected? Did you see any similarities or differences, and what were they? How would you decide which type of graph is best for this situation? Would you change yours and why? How would you defend your graph choice?

  6. To Do List: • Do the simulation as instructed on your simulation card using a graphing calculator. • To view the table of the generated data, press Y=, then press GRAPH. • Record each participant’s results on the Group Activity Sheet using the Data Table for Simulation #2.

  7. Generating Large amounts of Data vs. What type of movement(s) can we expect on the graph as large amounts of data are generated?

  8. To Do List: • On the Group Activity Sheet Simulation #2 Table complete the tally and experimental outcomes columns. • Using the LIST key on your calculator to input the frequency of each experimental outcome. • Create a line plot of your data using the LIST and STAT PLOT keys on your calculator. Tutorial: Trials, Trials, and More Trials Activity Creating a Line Plot

  9. To Do List: • Create a different graphical representation. Tutorial: Trials, Trials, and More Trials Activity Creating the Graph

  10. Calculator Pass Around Would you expect the graphs to be similar or different? Why? How would they be similar or different? Why? What does having larger data sets infer?

  11. Best Graph Questionnaire

  12. Theoretically how many outcomes should have occurred for each possible outcome? Use a technology platform you have learned over the last two days to create a graphical representation that compares the Theoretical Outcomes and Experimental Outcomes.

  13. What are some of the visible changes you see in the experimental outcomes as more trials are entered? What is the relationship between the points on the graph and the line on the graph? How does the technology allow the students to reflect on the BIG QUESTION?

  14. What is the relationship between Experimental and Theoretical Probability?

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