Quote of the Day:
"Mathematics serves as a handmaiden for the explanation of 
   the quantitative situations in other subjects, such as 
   economics, physics, navigation, finance, biology and 
   even the arts."  -- H. F. Fehr

Objectives:
The student will review how to use the calculator on the 
   A.P. Exam.


1. Hand out a copy of the Calculator Review Sheets.  Go 
   over the four things that students need to know how to 
   do on the exam.

        Calculator Tips for the TI-83

        Calculator Tips for the TI-85

        Calculator Tips for the TI-86

2. Hand out the sheet with Sample Calculator Exercises.
   Have students work through them.

        Calculator Problems

3. Hand out the sheet on Test Information.  Go over this 
   with the students.

        Test Information

4. Discuss Volumes of Regions with Known Cross Sections

      Most of the volumes that we have done had circular 
      cross sections.  Occasionally, you may have figures 
      whose cross sections are squares, triangles, etc.
      It is just an extension of the Disk Method.

      In order to find the volume with the disk method,
      you integrated the area of one cross section.  
      Because the cross section was circular, you 
      integrated the formula for the area of a circle (pi r 
      squared).  So, if a new problem has squares as cross
      sections, you will integrate the formula for area of 
      a square (side squared).   

      Example: Let R be the region in the first quadrant 
               under the graph of 

               Find the volume of the solid whose base is 
               the region R and whose cross sections (cut 
               by planes perpendicular to the x-axis) are 
               squares.

      Solution:   

5. Do selected problems from the 1997 Multiple Choice Exam

6. Hand out copies of the 1997 Multiple Choice Part B 
   (Calculator Section)

7. Assignment:
   Work on 1997 Multiple Choice Part B to hand in for part 
    of quiz grade

Click here to go to the next page