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  • Subject Area

    • Math: Statistics: Normal Distributions

  • Author

    Texas Instruments

  • Level

    9-12

  • Activity Time

    45 Minutes

  • Device
    • ax-icon-color-device
      TI-Nspire™ CX
    • ax-icon-color-device
      TI-Nspire™ CX CAS
    • TI-Nspire™ Navigator™
    • TI-Nspire™
    • TI-Nspire™ CAS
  • Software

    TI-Nspire™
    TI-Nspire™ CAS

  • TI-Nspire Version

    3.0

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Exploring the Normal Curve Family

Published on 03/16/2011

Activity Overview

Students will investigate the relationship of the equation of a normal curve to its graph. They will use a slider to change the values of two parameters, m and s, to investigate their effects on the normal curve, noting in particular that m represents the location of the mean and that s represents the distance from the mean to the curve at the point of inflection.

Objectives

  • Students will identify the three defining characteristics of a normal curve related to shape, center, spread, and area.
  • Students will recognize that normal curves form a family whose members share these same characteristics.
  • Students will use appropriate tools strategically (CCSS Mathematical Practices).
  • Students will model with mathematics (CCSS Mathematical Practices).

Vocabulary

  • normal curve
  • mean
  • standard deviation
  • point of inflection
  • density functions

About the Lesson

This lesson involves investigating the relationship of the equation of a normal curve to its graph.
As a result, students will:

  • Identify the axis of symmetry as the line x =, the mean of the distribution represented by the normal curve, and the standard deviation as the distance from that line to the point of inflection.
  • They will use a slider to change the values of two parameters, m and s to investigate their effects on the normal curve, noting in particular that m represents the location of the mean and that s represents the distance from the mean to the curve at the point of inflection.
  • Estimate the area under a normal curve graphed on a coordinate grid and investigate how this area changes as the mean and standard deviation are changed.c