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Lesson Plan

Describe an event as subsets of a sample space using characteristics of the outcomes

teaches Common Core State Standards CCSS.Math.Content.HSS-CP.A.1 http://corestandards.org/Math/Content/HSS/CP/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
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Big Ideas: A sample space is the set of all possible outcomes for an event. Order often matters: there are three ways to get a 4 with two dice: {1,3}, {2,2}, {3,1} not just two. The number of elements in a subset of a sample space can be used to determine the likelihood of an event. Students are initially presented with the question of whether getting a 6 or an 8 with two dice is more likely. The responses to this task will help students understand the concept of sample space. Students will learn from this task that “order” is frequently important in listing the elements of a sample space. Counting the number of elements in a subset of the sample space enables students to determine the likelihood of it occurring. Students are then presented with the question based on the sample space for a family with four children based on gender and are expected to generalize their understanding from the initial task. Vocabulary: Sample space, set, subset, outcome, event, set notation, subset symbol Special Materials: It would be useful for the teacher to have a pair of dice to show students. It is not necessary for students, each, to have a pair of dice.
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