Self Check Exercise

Self Check Exercise

Critique

Opening

Critique

Review your work on the Self Check problem and think about these questions:

  • Have you found the theoretical probability of each situation (expressed as a ratio)?
  • What other ratio is equal to the ratio for theoretical probability?
  • How does the number of trials affect how the experimental results compare to the theoretical probability?

Math Mission

Opening

Apply what you know about theoretical and experimental probability.

Revise Your Work

Work Time

Revise Your Work

Work with your partner to revise your work on the Self Check problem.

Self Check Problem

You have a bag that contains 3 red marbles, 2 blue marbles, and 1 green marble.

  1. What is the probability that you will draw a green marble?
  2. How many times could you expect to draw a blue marble in 200 trials, based on theoretical probability?
  3. What is the likelihood that you would get this exact amount?
  4. How would the results for 200 trials compare to results for 50 trials?

Extend Your Work

Work Time

Extend Your Work

You have a bag that contains 3 red marbles, 2 blue marbles, and 1 green marble.

  • What is the probability that you will draw a green marble and then, after replacing the marble, draw a blue marble? Support your answer with a diagram of the sample space.
  • What is the probability that you will draw a green marble and then a blue marble (without replacing the green marble)? Support your answer with a diagram of the sample space.

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates' approaches to revising the Self Check problem and applying their knowledge to a new problem.

As your classmates present, ask questions such as:

  • What part of the Self Check problem was most difficult?
  • What errors in your work did you find that required revising? How did you go about revising the mistakes?
  • Did you and your partner ever disagree about some aspect of the Self Check problem? If so, were you able to resolve your difference of opinion? How?
  • How did you use what you learned in the Self Check problem to solve the new problem?

Reflect on Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

The most important things I learned in this unit so far are…