Education Technology

Double Tree

Published on 04/17/2013

Activity Overview

Students visually explore geometric sequences by modeling the growth of a tree that doubles in height every year.

Key Steps

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    In this activity, students model tree growth using the sequence 2n. They use the Line command to draw line segments, representing the height of a tree. The commands shown in the screenshot, draws lines from (1, 0) to (1, 2) and (2, 0) to (2, 4).

  • Image

    Students complete a table describing the x-value of the line, height of the tree, and the power of two for the years 2001 to 2008.Students complete a table describing the x-value of the line, height of the tree, and the power of two for the years 2001 to 2008.

  • Image

    Then students use the seq command to create a scatter plot the sequence 2n. The first sequence, stored in L1, contains the integers 1 to 8, representing the years. The second sequence, stored in L2, contains the values of the sequence 2n, representing the heights of the tree.