of the Unit
The sample material for this unit is Investigation 1 of Lesson 1. This lesson introduces students to the normal distribution and its characteristics. In a normal distribution, most values are clustered near the mean with values trailing off at each end of the distribution. Also, the mean and median are the same, and the distribution is symmetric around the mean. In Lessons 2 and 3, students will learn how the normal distribution is used in making decisions.
Also included in the sample are selected homework tasks for Lesson 1. Note that some of these tasks are ones that would be assigned after Investigations 2 and 3, not the sample investigation. Review Tasks 28 and 31 given in the sample are just-in-time Review tasks for Lesson 2. Review Tasks 26 and 29 are samples of the types of distributed practice built into each Review set.
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.
Unit Table of Contents and Sample Lesson Material
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How the Statistics
and Probability Strand Continues
As students finish Course 3 of the Core-Plus Mathematics curriculum, they will have learned a great deal about statistics and probability. Among the fundamental ideas studied were shapes of distributions, measures of center (mean and median), and measures of variation (standard deviation, interquartile range). Interpretation of graphical displays including histograms, box plots, and scatterplots was emphasized.
Other topics studied include correlation and least-squares regression, experimental design and the randomization test, simulation, the geometric distribution, the multiplication and addition rules of probability, and the normal distribution.
As mentioned in the objectives, this unit includes standardized scores, the binomial distribution, control charts, and the Central Limit Theorem. This knowledge will be useful to them in science labs, in social science courses, and in interpreting the reports of surveys and experiments that they hear and read daily in the media.
Students who have completed Course 3 are exceptionally well prepared to take Advanced Placement Statistics. The AP Statistics syllabus includes all of the topics listed above except control charts. (See the CPMP Courses 1-4 descriptions.)
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