Unit 8, Lesson 7
Simulating Multi-step Experiments
Grade 7
Preparation
Lesson Narrative
In this lesson, students see that compound events can be simulated by using multiple chance experiments. The simulation relies on student ability to model the situations mathematically so that the simulations match the probabilities of the original situations (MP4). For example, if we want to know the probability that it will rain each day of the week when there is a 50% chance of rain each day, we can flip a coin to represent each day. Therefore, if we toss a coin 70 times, we will have run this simulation only 10 times. Students construct arguments to explain why they match proposed simulations to situations (MP3).
An optional activity is available for practice with writing the probability of a multi-step situation. Students play a game and consider how changing the rules might affect the probability of winning the game.
- Coordinate (orally) a real-world situation and a chance event that could be used to simulate that situation.
- Perform a multi-step simulation, and use the results to estimate the probability of a compound event in a real-world situation (using words and other representations).
Let’s simulate more complicated events.
Required Preparation
For the digital version of the activity, acquire devices that can run the applet.
Prepare a paper bag containing 4 snap cubes (2 black and 2 white) for every 3 students.
Make simulation tools (number cubes, bags with colored snap cubes, and so on) available.
Modify the lesson by launching the Cool-down with a discussion about the importance of battery recycling. Explain to students that, in California, it is illegal to throw batteries in the trash. Both single-use and rechargeable batteries must be recycled. Ask: “What do you think could happen to batteries that aren’t properly recycled?” (They could contaminate water and soil, burn or poison people and wildlife, and even start fires.)
Invite students to research the protocols for recycling batteries for various dwelling types (for example, single family, multi-family) in their area, and to share their findings with the class.