NY Next Generation Math NY-7.SP.8.c
The Standard
Design and use a simulation to generate frequencies for compound events.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students design and use simulations to generate frequencies for compound events. They map random outcomes to the situation and use repeated trials to estimate probability.
What Mastery Looks Like
- The student chooses a random device or digits that match each stage’s probabilities. The student records many trials, calculates relative frequency, and interprets the estimate.
Common Misconceptions
- Students may use a simulation device with probabilities that do not match the situation. They may stop after a few trials or count partial trials as successes.
How to Assess It
- Ask students to design a random-digit simulation for a 40 percent success rate and estimate the chance that success takes at least four trials.
Lesson moves
Ways to Teach It
Assign random digits to two-stage outcomes, run repeated trials, and record compound-event frequencies.
Ask students how digit assignments preserve the probabilities in the original situation.
Play Simulation Design Review by checking whether proposed random devices match compound-event conditions.
Simulate the chance that two deliveries both arrive on time using stated on-time rates.
Keep exploring
Related Standards
- NY-6.SP.8
Develop a probability model and use it to find probabilities of simple events. Compare probabilities from a model to observed frequencies; if the agreement is n...
- NY-6.SP.8.b
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process
- NY-7.SP.8.a
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event oc...
- NY-7.SP.8
Find probabilities of compound events using organized lists, sample space tables, tree diagrams, and simulation.
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