Florida B.E.S.T. MA.8.DP.2.1
The Standard
Determine the sample space for a repeated experiment.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify all possible outcomes when the same chance action happens more than once. They organize outcomes with lists, tables, or tree diagrams and account for order.
What Mastery Looks Like
- Students create a complete, organized list, table, or tree diagram for two or more trials. They count each distinct sequence once and include repeated results such as HH or 33.
Common Misconceptions
- Students often leave out outcomes or list the same outcome more than once. They may treat HT and TH as identical, or assume an outcome cannot repeat across trials.
How to Assess It
- Exit ticket: A coin is flipped three times. List the complete sample space and explain how you know no outcomes are missing.
Lesson moves
Ways to Teach It
Have pairs roll one die twice, record ordered pairs, then build a complete sample space on a 6-by-6 grid.
Ask students to compare HT and TH, then write why order changes the outcome in repeated trials.
Play a sample space relay where teams complete branches of a tree diagram for three spins of a red-blue spinner.
Model three factory items tested as pass or fail, then have students list every possible sequence of results.
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Related Standards
- MA.912.DP.4.1
Describe events as subsets of a sample space using characteristics, or categories, of the outcomes, or as unions, intersections or complements of other events.
- MA.8.DP.2.2
Find the theoretical probability of an event related to a repeated experiment.
- MA.7.DP.2.1
Determine the sample space for a simple experiment.
- MA.8.DP.2
Represent and find probabilities of repeated experiments.
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