

Objectives
of the Unit

Sample Overview
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 justintime Review tasks for Lesson 2. Review
Tasks 26 and 29 are samples of the types of distributed practice
built into each Review set.
Instructional
Design
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 fourphase cycle of classroom activities—Launch,
Explore, Share and Summarize, and Apply.
This instructional model is elaborated under Instructional
Design.
View the
Unit Table of Contents and Sample Lesson Material
You will need the
free Adobe
Acrobat Reader software to view and print the sample material.
How the Statistics
and Probability Strand Continues
As students finish
Course 3 of the CorePlus 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 leastsquares 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 14
descriptions.)
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