EMT 668 Final Projects, Summer 1997
Submitted by
Teisha M. Wright
1. Consider the graphs of the equation
for various substitutions of real number coefficents a, b,
c.
Response
2. Prepare a GSP script for each of the following
constructions. Submit the script and a fully labeled sketch for
each.
a. Construct a rhombus given
i. one side and one angle
ii. one angle and a diagonal
iii. the altitude and one diagonal
Response
b. Construct a parallelogram given
i. one side, one angle, and one diagonal
ii. two adjacent sides and an altitude
iii. one angle, one side, and the altitude to that side
Response
c. Construct an isosceles trapezoid given
i. the bases and one angle
ii. the median, altitude, and one of the bases
iii. one base, the diagonal, and the angle included by them
Response
d. Construct an isosceles triangle given
i. the altitude on the base and a base angle
ii. one of the congruent sides and the altitude upon it
iii. the base and the altitude on one of the equal sides
Response
Given a rectangular sheet of cardboard 15in by
25in. If a small square of the same size is cut from each corner
and each side folded up along the cuts to form a lidless box.
What is the volume of the box?
What size(s) of the square would produce a box of Volume equal
to 400 cubic inches?
Prepare demonstrations/ solutions to this problem using
a. Algebra Xpresser
b. GSP
c. Spreadsheets
4. Consider the reduced cubic
For what values of p does the equation
have three real roots? Extend for other values of q. Summarize.
My Response
5. Consider any triangle ABC. Select point P inside
the triangle and draw lines AP, BP, and CP extended to their intersections
with the opposite sides in points D, E, F respectively.
Explore (AF), (BD), (EC) and (FB), (DC), (EA) for variuos triangles
and various locations of P.
Conjecture? Prove it!
My Response
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