Education Technology

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  • Subject Area

    • Standard: VCE: Further Mathematics: Further Mathematics

  • Author

    Texas Instruments

  • Level

    Aust Senior

  • Activity Time

    90 Minutes

  • Device
    • TI-Nspire™
    • TI-Nspire™ CAS
    • TI-Nspire™ Navigator™
    • TI-Nspire™ Apps for iPad®
  • Software

    TI-Nspire™
    TI-Nspire™ CAS
    TI-Nspire™ CAS Navigator™ NC System
    TI-Nspire™ Navigator™ NC System

  • TI-Nspire Version

    4.2

  • Other Materials
    Monopoly Board
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Monopoly Part 1

Published on 04/07/2016

Activity Overview

Imagine asking your students to go home and play a game of Monopoly for homework? What strategies do you employ? Which properties represent the best value for money? Students explore a variety of relationships including location, price and rent in order to determine if there are any bargain properties in one of the world’s most popular board games, Monopoly.

Objectives

Use scatterplots to identify and qualitatively describe the association between two numerical variables in terms of direction, form and strength.
Use a least squares line to model an observed linear association and the interpretation of its intercept and slope in the context of the data.

Vocabulary

Residual, line of best fit, least squares, scatter plot, extrapolate, linear

About the Lesson

Is there any relationship between location and price on the Monopoly board? Students reason through a relationship by considering the amount by which properties increase as they move around the board. Simplistically put, Mayfair is 40 squares from Go and costs $400, so a good starting point is to assume the relationship is directly proportional to arrive at y = 10x. Students work on the relationship from this point using all the available data to determine a more appropriate relationship including how to quantify the accuracy of their rule. Using the skills developed; students explore the relationship between price and rental return.