Lesson #138
A.P. Exam Calculator Review




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

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Send any comments or questions to: David Pleacher