Unit 7: Probability
Geometry is a way to understand the real world around us by basing arguments on concrete referents, modeling relationships, and applying mathematical principles to understand geometric properties and concepts using objects, drawings, diagrams, and actions.
The Story of Geometry - Unit 7: Probability (Up to 15 days)
This unit should be an interesting and fun way to end the year. The two areas of focus are understanding independence and conditional probability and using them to interpret data as well as using the rules of probability to compute probabilities of compound events. Context, modeling (SMP4), and application are crucial in this unit, therefore, students should be primarily working with real-world situations including those that are culturally relevant to them. As they do, they should be decontextualizing and contextualizing to interpret the probabilities they are calculating (SMP2). Using probability to make decisions (supporting standards S-MD.6 & S-MD.7) can be embedded in first instruction to make it more interesting and engaging or saved for the end as another layer of application to the real world. For further depth, independence & conditional probability can be extended to include Two-way Frequency Tables (see Question 3 Rationale) while probability of compound events can be extended to include permutations & combinations.
Unit 7 & The Need to Examine Claim 2
Most of the geometry course is tested in Claim 3, Communicating Reasoning: Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others. While students should still be able to communicate their reasoning, the emphasis of this instruction is Claim 2 Problem Solving. Students should be primarily engaged with SMP #1: Make sense of problems and persevere in solving them. Teachers should devote time to understand Claim 2 for themselves, especially the Assessment Targets, Task Models and Examples.
Vocabulary, Tools & Developmental Notes from SBAC
Claim 2, Problem Solving: Students can solve a range of well-posed problems in pure and applied mathematics, making productive use of knowledge and problem-solving strategies.
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