Activity Detail
If you are using a TI-73, TI-83, TI-84 or TI-89, there may be particular math or science applications you will need to download to use certain activities. If you are using TI-Nspire technology, please update your TI-Nspire handheld operating system or computer software to view the latest activities. The latest TI-Nspire operating system was released in June 2009.
Browse by Subject Submit Activity Saved Activities Advanced Search
  


add to saved activities



print this activity
 
Parametric, Vector, Polar and 3-D functions
 


Activity Overview

In this activity, students investigate and graph parametric functions, vectors, polar functions, and 3D functions.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 69 - 78 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to the class.

    Follow the Activity procedures:
    Parametric Functions:
  • Enter the two equations and graph them


    • Slope of a Parametric Curve, Chain Rule for Parametric Equations:
  • Find the derivative of the graph and approximate the slope


    • Arc Length of Parametric Curves:
  • Enter the parametric functions, graph the arc, and find the arc length


    • Parametric Equations for Trajectories:
  • Enter the differential equations and solve them
  • Graph the parametric equations and find the solution


    • Symbolic and Graphical Representation of Vectors:
  • Enter the parametric equation and define the position vector function
  • Define the first and second derivative of the position vector and graph each vector


    • Area Bounded by Polar Curves:
  • Enter the equations and graph the polar functions
  • Enter the definite integral and find the area


    • 3D Functions:
  • Enter the equation and graph to see the surface

    		After the Activity

    		Students will complete the practice exercise problems.

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

    		Other Downloads




    view standards alignment
    view textbook alignment

    Subject Area:
    Math : Calculus : Applications of Derivatives

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-89 / TI-89 Titanium

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 8 from the EXPLORATIONS Book:
    Advanced Placement Calculus with the TI-89.

    Report an issue with this activity