Activity Detail
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Get Your Numbers in Shape (TI-83/84 Family)
 


Activity Overview

Students produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. Students also find the Y-value of a function if the X-value is provided, and vice versa.

Before the Activity

  • Set up the calculator for data collection using the procedure described in the attached Appendix PDF file
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 141 - 154 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to your class.

    Follow the activity procedures:
  • Enter the stage number data and the value (data for a sequence)
  • Find the first difference between the successive terms
  • Observe the differences are not equal, and the sequence is not linear
  • Find the second difference between successive terms
  • Observe the differences are equal, and the sequence is quadratic
  • Set up a scatter plot using the data
  • Perform a quadratic regression to find a best fit equation that describes the sequence
  • Observe and graph the quadratic function
  • Develop recursive and explicit formulas for the sequence and use them to find the 100th and 75th terms in the sequence

    		After the Activity

    		Students will complete the Data Collection and Analysis page and answer questions listed on it.

  • Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary

    		Other Downloads




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    Subject Area:
    Math : Algebra I : Sequences and Series
    Math : Algebra I : Quadratic Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 11 from the EXPLORATIONS Book:
    Activities for Algebra with the TI-83 Plus.

    The following materials are required for this activity:

  • Small cubes or candy


    • Report an issue with this activity