NY Next Generation Math NY-7.SP.8.b
The Standard
Represent sample spaces for compound events using methods such as organized lists, sample space tables, and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent compound-event sample spaces with organized lists, tables, or tree diagrams. They identify exactly which outcomes match an event described in everyday language.
What Mastery Looks Like
- The student creates a complete, nonduplicated sample space for all stages. The student marks the outcomes satisfying a stated compound event and explains the match.
Common Misconceptions
- Students may omit reversed outcomes when order matters or count duplicates when it does not. They may label branches incompletely and miss outcomes.
How to Assess It
- Ask students to represent coin toss and number-cube outcomes in a table, then identify outcomes for heads and a number greater than 4.
Lesson moves
Ways to Teach It
Build a two-stage sample space with colored tiles, then transfer every outcome to a tree diagram.
Ask students how a table or tree shows that the sample space is complete.
Play Event Outcome Match with everyday descriptions and sample-space subsets.
List all meal combinations from two entree choices and three side choices, then identify a stated event.
Free download
Printable NY-7.SP.8.b Worksheet
A ready-to-print activity worksheet aligned to NY-7.SP.8.b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 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.
- 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.
- NY-7.SP.8.c
Design and use a simulation to generate frequencies for compound events.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson