Introducing the Normal Curve

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Introducing the Normal Curve

• Group 8
• Wendy Taylor
• Gwen Pribek
• Xiaolin Fan

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Learning objectives

• The students will be able to define and explain
  the normal distribution and the empirical rule.

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Context

• Students have worked with histograms and graphing
• Students have identified skewed and symmetric
  graphs, uniform and continuous
• Students have calculated standard deviation and
  mean

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Variety

• Students will do some basic calculations and
  graphing
• Students will think abstractly about the shape of
  distribution curves
• Students will discover the empirical rule

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Skeleton lesson plan

• Previous Day Density curves and shapes of
  different distributions
• Today Group Activity, class histogram, class
  calculations for Empirical Rule, Applet demo,
  summary
• Next day Follow-up assessment, discussion
• Future Continual reference to class histogram

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Applet for the Empirical Rule

• http//statman.stat.sc.edu/west/applets/empirical
  rule.html

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Summary

• A normal curve is a _____-shaped density curve
  that describes a normal distribution. A normal
  distribution is defined by the ______ and
  _______.
• Approximately ______ of the data is the
  distribution lies within 1 standard deviation of
  the mean. Approximately _____ of the data lies
  within 2 standard deviations of the mean.
  Approximately ______ of the data lies within 3
  standard deviations of the mean. This is often
  referred to as the __________ rule.

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Follow-up

• Students will be asked questions on a quiz/test
• The class graph will be displayed for future
  reference
• Area under the curve - probability
• Confidence intervals
• Hypothesis testing
• Etc.