Florida B.E.S.T. MA.912.DP.4.10
The Standard
Given a mathematical or real-world situation, calculate the appropriate permutation or combination.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether a situation requires an ordered arrangement or an unordered selection. They identify the total choices and number selected, then calculate the permutation or combination.
What Mastery Looks Like
- Students can identify whether order matters and choose a permutation or combination. They correctly identify n and r, calculate the result, and explain what the number means in context.
Common Misconceptions
- Students often use permutations when order does not matter, or combinations when roles make order matter. They may switch n and r or count the same group several times. Some assume repetition is allowed without checking the situation.
How to Assess It
- Exit ticket: From 10 club members, count the ways to choose a three-person committee and the ways to assign president, vice president, and secretary. Name the method used for each count.
Lesson moves
Ways to Teach It
Give groups five colored cards and have them build ordered three-card displays, then compare that count with unordered three-card groups.
Ask students to explain why selecting three pizza toppings is different from awarding gold, silver, and bronze medals.
Play a sorting game where students classify scenario cards as permutations or combinations, then calculate each answer for points.
Have students count possible phone passcodes, team lineups, and raffle winner groups, noting when order changes the outcome.
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Related Standards
- MA.912.AR.10.1
Given a mathematical or real-world context, write and solve problems involving arithmetic sequences.
- MA.912.DP.4.9
Apply the addition and multiplication rules for counting to solve mathematical and real-world problems, including problems involving probability.
- MA.5.AR.2.4
Given a mathematical or real-world context, write an equation involving any of the four operations to determine the unknown whole number with the unknown in any...
- MA.4.AR.2.2
Given a mathematical or real-world context, write an equation involving multiplication or division to determine the unknown whole number with the unknown in any...
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