of the Unit
The sample material for Unit 2 consists of the first two of four investigations of Lesson 2, "Variability." Understanding, measuring, and describing variability is a central theme throughout the curriculum. In these two investigations, students examine variability using the five-number summary and box plots.
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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.
How the Statistics
and Probability Strand Continues
The second unit from the statistics and probability strand in Course 1, Patterns in Chance, introduces students to sample spaces, probability distributions, the Addition Rule, simulation, and geometric probability. Important probabilistic concepts explored include mutually exclusive events and the Law of Large Numbers.
In Course 2 Unit 4, Regression and Correlation, students study the appropriate use of correlation and regression to describe bivariate association. Students will continue to develop their ability to understand and visualize situations involving chance (in Unit 8, Probability Distributions) by using simulations and mathematical analysis to construct probability distributions. They study the following topics: Multiplication Rule, independent and dependent events, conditional probability, probability distributions and their graphs, waiting-time or geometric distributions, expected value, and rare events.
In Course 3 Unit 1, Reasoning and Proof, students are introduced to more formal statistical reasoning. Students study inductive and deductive reasoning strategies; principles of logical reasoning—Affirming the Hypothesis and Chaining Implications; the relation among angles formed by two intersecting lines or by two parallel lines and a transversal; rules for transforming algebraic expressions and equations; design of experiments including the role of randomization, control groups, and blinding; sampling distributions; randomization tests; and statistical significance. In Unit 4, Samples and Variation, students extend their understanding of measurement of variation, use the normal distribution as a model of variation, are introduced to the binomial distribution and its use in decision making, and are introduced to probability and statistical inference involved in the control charts used in industry for statistical process control. (See the CPMP Courses 1-4 descriptions.)
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