

Objectives
of the Unit

Sample Overview
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 reexamine their thinking about ideas in the lesson
(Reflections tasks).
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.
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Material
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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 14
descriptions.)
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