of the Unit
The sample material for this unit is Investigation 3 of Lesson 2. The Connections and Reflections tasks from the homework section for Lesson 2 are included to provide you samples of tasks written to help students build links between mathematical topics they have studied in the lesson and to connect those topics with other mathematics that they know (Connections tasks) and tasks that provide opportunities for students to re-examine their thinking about ideas in the lesson (Reflections tasks).
Throughout the curriculum, interesting problem contexts serve as the foundation for instruction. As lessons unfold around these problem situations, classroom instruction tends to follow a four-phase cycle of classroom activities—Launch, Explore, Share and Summarize, and Apply. This instructional model is elaborated under Instructional Design.
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How the Statistics
and Probability Strand Continues
Course 3 Unit 1, Reasoning and Proof, develops student understanding of formal reasoning in geometric, algebraic, and statistical contexts and of basic principles that underlie those reasoning strategies, design of experiments including the role of randomization, control groups, and blinding; sampling distribution; randomization test; and statistical significance.
Course 3 Unit 4, Samples in Variation, extends student understanding of the measurement of variability, develops student ability to use the normal distribution as a model of variation, introduces students to the binomial distribution and its use in decision making, and introduces students to the probability and statistical inference involved in control charts used in industry for statistical process control. Topics studied include normal distributions, standardized scores, binomial distributions (shape, expected value, standard deviation), the normal approximation to a binomial distribution, odds, statistical process control, control charts, and the Central Limit Theorem. (See the CPMP Courses 1-4 descriptions.)
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