CCSS.Math.Content.HSS-CP.B.9: Common Core State Standards for Mathematics

(+) Use permutations and combinations to compute probabilities of compound events and solve problems.

Curriki Rating

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3

On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of -0001-11-30.

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This resource received a 3* rating because it is part of Algebra 1: Predicting Patterns & Examining Experiments, which received a rating of 3-Exemplary in the Curriki Review System and which you can see here: http://www.curriki.org/xwiki/bin/view/Coll_mathercize/Algebra1PredictingPatternsExaminingExperiments

Summary:

As we have examined probability, tree diagrams, and permutations. Now we look at other permutations, which will lead into combinations and finally lead back to probability.

Essential Question(s):

How many different ways to arrange 1 silver, 5 black, and 2 red cars?
How many ways could the four students sit in the front row arrange themselves?
How many ways could the four students sit in the front row arrange themselves in a circle?
How many ways could all eleven students sit in a circle?
How many ways could the class choose a class leader, helper, and secretary?

Desired Learner Outcomes:

Students will be able to…

Students will know…

identify and compute circular permutations

the difference between linear, repeated, and circular permutations

identify and compute linear permutations with repeated items

the formula for circular permutations

the method for finding linear permutations with repeated items