NY Next Generation Math NY-7.SP.8

NY-7.SP.8 is a cluster heading. These are the individual standards under it.

• 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.b

  Represent sample spaces for compound events using methods such as organized lists, sample space tables, and tree diagrams. For an event described in everyday la...

• NY-7.SP.8.c

  Design and use a simulation to generate frequencies for compound events.

01

What Students Need to Do

Students find probabilities of compound events using organized lists, sample space tables, tree diagrams, and simulations. They identify favorable outcomes and compare theoretical probabilities with simulated frequencies.

02

What Mastery Looks Like

The student constructs a complete sample space and computes probability as favorable outcomes over total outcomes. The student designs a simulation whose random outcomes match the compound event.

03

Common Misconceptions

Students may omit outcomes or assume all listed compound outcomes are equally likely without checking. They may count event descriptions instead of distinct outcomes.

04

How to Assess It

Ask students to find the probability of rolling an even number and flipping heads using a table. Then have them describe a 20-trial simulation.

1. 01

   Roll a number cube and flip a coin, recording outcomes in a sample space table.

2. 02

   Ask students how an organized list proves that no compound outcomes were omitted.

3. 03

   Play Compound Event Lab by comparing theoretical probabilities with simulated results.

4. 04

   Model the chance of two weather conditions occurring with a tree diagram based on given probabilities.

• NY-6.SP.8.a

  Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of simple events.