Florida B.E.S.T. MA.912.DP.4.1

MathGrades 9–12Use and interpret independence and probability.

The Standard

Describe events as subsets of a sample space using characteristics, or categories, of the outcomes, or as unions, intersections or complements of other events.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students define a sample space and identify events as groups of outcomes that meet stated conditions. They also represent events using unions, intersections, and complements.

What Mastery Looks Like

Given an experiment, a student lists possible outcomes and describes an event with words, sets, or a Venn diagram. The student correctly interprets “or,” “and,” and “not.”

Common Misconceptions

Students often treat an event as one outcome rather than a set of outcomes. They may confuse union with intersection, read “or” as exclusive, or omit outcomes from a complement.

How to Assess It

Exit ticket: For one roll of a six-sided die, let A be even outcomes and B be outcomes greater than 3. List A, B, A ∪ B, A ∩ B, and Aᶜ.

Lesson moves

Ways to Teach It

  1. Have students sort outcome cards for two coin tosses into labeled hoops, then identify each event, union, intersection, and complement.

  2. Ask, “When rolling a die, how do ‘even or greater than 4’ and ‘even and greater than 4’ differ?”

  3. Play Event Match: students pair experiment cards with sample spaces and event cards showing unions, intersections, or complements.

  4. Use an anonymous class survey on bus riders and club members, then describe each group, overlap, union, and complement.

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