Education Technology

Dynamic Algebra

Published on 07/30/2005

Activity Overview

This Computer Algebra System (CAS) activity shows how the method of dynamization by parameterization works with almost all classical math problems, which produces problems for CAS calculators quickly.

Before the Activity

  • Install TI Connect™ using the TI connectivity cable
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 1 - 7 from the attached PDF file for the class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Solve a classical fractional equation problem
  • Find the area of a triangle with given vertices using Heron's formula
  • Take a geometric or an algebraic approach to solve a vector equation problem
  • Understand the concept of a transversal, and use it to solve problems
  • Given two points on a line, find a point on the line which satisfies the Apollonius sphere condition
  • Determine the center and radius of a circle given 3 peripheral points
  • Examine the dynamization of the classical problems
  • After the Activity

    Students' answer questions on the Activity sheet.

    Review student results:

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