## Bottle Cap Landings

## Opening

# Bottle Cap Landings

Suppose you toss a plastic bottle cap in the air.

- What are the possible ways it could land?
- Do you think these outcomes are equally likely?
- Discuss the possible outcomes with your classmates.

Suppose you toss a plastic bottle cap in the air.

- What are the possible ways it could land?
- Do you think these outcomes are equally likely?
- Discuss the possible outcomes with your classmates.

Find the probabilities of events that do not have equally likely outcomes.

Suppose you drop a plastic bottle cap 30 times.

- Predict how many times it will land open side up, open side down, or on its side. Record your guesses in the Bottle Caps interactive table.
Drop a bottle cap 30 times and record your results.

How do your results compare to your predictions?

- Use your results from the 30 trials to calculate the experimental probability of each outcome.
- Based on these probabilities, predict the results for each outcome if you were to conduct 900 trials.

Your teacher will share the class results for the 30 trials.

- Calculate the experimental probability of each outcome based on the class results.

INTERACTIVE: Bottle Caps

- Work with a partner to create a spinner that simulates the probabilities for dropping the bottle cap. Use the Blank Spinner interactive.
- Spin the spinner 30 times and save your results.
- Calculate the experimental probability of each event based on your results.
- How do your experimental probabilities based on the spinner compare to the experimental probabilities based on the class results from dropping the cap?

INTERACTIVE: Blank Spinner

- Prepare a presentation about your results and conclusions.

- In one experiment a bottle cap is dropped 600 times. In another experiment a bottle cap is dropped 6,000 times. How do you think the probabilities from these two experiments will compare? Explain.

Take notes about other students’ results and conclusions.

Write a summary about experimental probability.

Check your summary:

- Do you describe what experimental probability is?
- Do you explain how experimental probability is related to theoretical probability?
- Do you explain what happens to the experimental probability as the number of trials increases?

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

**A strategy that I found useful when solving probability problems is...**