Assignment #11

For problems #1-3 below, you are to investigate the problem and turn in the following:

1. GSP Sketch

2. Data Table (a minimum of 10 pairs)

3. Scatter Plot

4. Algebraic Model

 

1. Area of a Triangle

Hold the base constant and vary the height. Compare the area of the triangle to its height

2. Area of a Triangle

Animate the vertex opposite the base along a line parallel to the base

Compare the measure of a base angle to the area of the triangle.

3. Circumference of a Circle

Vary the diameter. Compare the diameter to the circumference.

Bonus (due any time this semester)

Famous Fence Problem

You have 100ft of fencing with which to build a fence for your dog.

You will build a rectangular fence using your house for one side.

What is the maximum area you can enclose for your dog to play in?

Use GSP to model this problem

Use Excel to model this problem

Use Graphing Calculator to model this problem