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