Experimental Probability

Experimental Probability

Number Cube Results

Opening

Number Cube Results

The Number Cube interactive can show the results for rolling the number cube 30 times for each number on the number cube. Discuss the following questions.

  • What do you notice about the numbers?
  • How do these numbers compare with class data?

INTERACTIVE: Number Cube

Math Mission

Opening

Explore experimental probability using spinners.

Work With Spinners

Work Time

Work With Spinners

Look at the spinner provided in the interactive.

  • Predict how many times the spinner would land on each color if it were spun 100 times.
        blue, red, yellow, green
  • Spin the spinner 100 times. How do your actual results compare to your predictions?
  • Use your results to calculate the experimental probability of each color.

INTERACTIVE: Spinner

Make Four Spinners

Work Time

Make Four Spinners

Using the Creating Spinners interactive, work with a partner to make spinners that will give the following results. For each spinner, predict the results for 100 spins. Then spin 100 times and use your results to find the experimental probability of each color.

  • The spinner is equally likely to land on red and blue, and unlikely to land on yellow.
  • The spinner is equally likely to land on red, blue, and green.
  • The spinner is twice as likely to land on red as it is to land on blue, and is twice as likely to land on blue as it is to land on green.
  • The spinner is certain to land on red.

INTERACTIVE: Creating Spinners

Guess the Colors

Work Time

Guess the Colors

Use the Guess the Colors interactive.

  • Make a spinner that your partner cannot see.
  • Spin the spinner 100 times. Tell your partner the results. Hide the colors of the spinner. Your partner should try to describe what the spinner looks like based on the results and choose each color.
  • Your partner can spin more times if needed to determine what the size of the colored areas on the spinner look like.

Prepare a Presentation

Work Time

Summarize what you learned from your work with spinners. Provide examples to illustrate your conclusions.

Challenge Problem

In 1,000 spins, a spinner lands on red 257 times, yellow 170 times, blue 244 times, and green 329 times.

  • If the probability of each color can be shown with a unit fraction, what does the spinner probably look like?

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ observations and explanations regarding experimental probability based on their work with spinners.

Spinners and Probability

Formative Assessment

Summary of the Math: Spinners and Probability

Write a summary about spinners and probability.

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.

I think the difference between experimental probability and theoretical probability is…