CCSS.Math.Content.7.SP.C.8c
The standard
Design and use a simulation to generate frequencies for compound events.
Common Core State Standards for Mathematics
What this standard means
Students need to model multi-step chance situations when listing outcomes is hard or slow. They should choose a fair random tool, like dice, cards, spinners, or random digits, assign outcomes to match given probabilities, run many trials, and use the results to estimate a probability.
Mastery looks like a clear simulation plan, accurate trial recording, and a reasonable conclusion based on relative frequency. Students often get stuck matching the random tool to the given probability, defining one trial, or stopping too soon and trusting a small sample.
Ways to teach it
- Have pairs simulate blood donors with random digits, using 0 to 3 for type A, and record trials until the first A appears.
- Ask students to write: What counts as one trial in this simulation, and why does that choice matter?
- Give students a flawed simulation plan and ask them to identify one error and fix it in two minutes.
- Connect to quality control by simulating how many light bulbs a store tests before finding a defective one.
Plan a lesson for CCSS.Math.Content.7.SP.C.8c
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Related standards
- CCSS.Math.Content.HSS-CP.B
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- CCSS.Math.Content.7.SP.C.8b
Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., ...
- CCSS.Math.Content.7.SP.C.8
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
- CCSS.Math.Content.7.SP.C.7b
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.