

Objectives
of the Unit

The sample material for Unit 1 consists of the first two investigations of Lesson 3, "Variability." Understanding, measuring, and describing variability is a central theme throughout the curriculum. In these two investigations, students examine variability using the fivenumber summary and box plots.
As you examine the sample investigations and lessons, you should note that lessons often span several days and that investigations may require more than one 50minute class period to complete. (See Instructional Design.) The first two investigations and homework set will take approximately four 50minute class periods for heterogeneouslygrouped classes of ninth graders. Teachers will typically adjust the length of time spent on an investigation for classes above or below grade level or classes that have not completed rich middle school mathematics programs.
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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 common pattern as elaborated under Instructional Design.
The second unit from the statistics and probability strand in Course 1 introduces students to simulation and to the idea of probability distributions.
In Course 2, students study the appropriate use of correlation and regression to describe bivariate association. Students will continue to develop their ability to understand situations involving chance by using simulations and mathematical analysis to construct probability distributions and study the following topics: multiplication rule for independent events, conditional probability, geometric distributions, expected value, rare events, summation notation, and an introduction to binomial distributions.
In Course 3, students study survey methods, sampling, sampling distributions, relationships between a sample and a population, confidence intervals, and margin of error. In Unit 5, Patterns in Variation, students extend their understanding of measurement of variation, use the normal distribution as a model of variation, study the Addition Rule for mutually exclusive events, and are introduced to probability and statistical inference involved in the control charts used in industry for statistical process control.
In Course 4, students extend their understanding of the binomial distribution and how the binomial distribution is used in statistical inference to test a single proportion and to compare two treatments in an experiment.
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