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## Table of Contents

## Portfolio Problems:

## Parametric Equations:

Evan J. Portfolio Page## Constructivist Award Competition

http://www.teamdapple.webs.com/

## Exeter Problems:

## Page 4, Question 10:

This is my working of question number 10 on page 4 (the bug problem).

10. A bug moves linearly with constant speed across my graph paper. I first notice the

bug when it is at (3, 4). It reaches (9, 8) after two seconds and (15, 12) after four seconds.

(a) Predict the position of the bug after six seconds; after nine seconds; after t seconds.

(b) Is there a time when the bug is equidistant from the x- and y-axes? If so, where is it?

## Page 16, Question 10:

As seen in the widget,the points are always equally spaced from each other.

## Page 43, Question 4:

## Page 44, Question 4:

## Page 44, Question 6:

## Wiki Problems:

## Wiki Problem (Week of 10/25/10)

The point A arrives at the origin exactly one second before the point B. The equations of each point are:

## Wiki Problem (Week of 11/1/10)

## Wiki Problem (Week of 11/8/10)

## Wiki Problem (Weeks of 11/15/10 and 11/22/10)

Wiki Problem (Week of 11/29/10)Begin by finding the slope of the line over which you will be reflecting the point.

Next, create a perpendicular vector from the original point to the line.

Finally, create another vector of the same length from the intersection of the vector and the line, continuing with the same slope as the previous vector, the perpendicular slope. The end of the vector will mark the location of the reflected point!

## Wiki Problem (Weeks of 12/6/10 and 12/13/10)

This is an instructional video on how to make a sphere using GeoGebra 3D. Sorry for the lack of sound, but my microphone is messed up right now. So to help guide you, I left notes in the video.

And another video for a Prism!

And for fun, a snowman made in GeoGebra 3D! Complete with Point Buttons, a Cylinder Hat, and a Vector Nose! Happy Holidays!

Version 2!!! Now with a Line Segment Pipe, sky, and ground.

Wiki Problem (Winter Break)of the product of the two vectors.

(Multiply the two vectors lengths)

of the product of the two vectors.

(Add the two vectors angles)

These aren't part of it, I just wanted to try making these applets.

## Wiki Problem (Week of 1/17/11)

## Opposite sides are congruent:

## Opposite angles are congruent:

## Wiki Problem (Week of 1/24/11)

As long as the same diagonal remains equal in length on both sides of the intersection, the shape will be a parallelogram.

Also proven is that if the diagonals bisect each other, the quadrilateral is a parallelogram.

## Fun:

## "Pythagorean Triples" Flash Cards

I made these on Quizlet.com. For best studying purposes, hit the shuffle button.