Slope Practice

Limacon and chord midpoints.

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4 Leafed Rose via Midpoints

Point D does 3 counterclockwise laps for every lap that point C does. Point E traces the path of the midpoint of segment CD. The red graph is the polar equation r=cos(2Θ)
the file is at http://ggbtu.be/m89785

A bit about regular polygons

Something special about the law of sines?

The Law of Sines says that, in any triangle, the sine of an angle, divided by the length of the opposite side, is constant.

A question not asked in high school texts is this: is there something special about the value of that constant. Does it measure something? Is it a clue about anything?

or If you give up, click here!!!!

Law of Cosines Practice, Stage 1

12? or 13?

On this snowy day in the great northeast, it is time to practice our counting skills. Just count the number of people in this picture. After it moves, count again. Then go figure...

 



 





I got this a while back and have had it on my web page for years. I am still searching for a "neat" solution. Good luck!!

GeoGebra Experiment on Floating Midpoints

Some practice, some play

Two parts today. the first part is for some practice for first year Algebra students. For the original GeoGebra file, click here. The second (see below) is just some doodling.


This may be a cartoon hat, a sketch of the space shuttle from underneath, or a side view of a bell. Whatever you may see or think of, it comes from just moving circles.

If you want to see the GeoGebra file itself, click here.

Curiosity

Everyone is a student and the only thing controlling that is their curiosity. Doodling itself can be a stimulus to curiosity. Here is my latest GeoGebra doodle from this morning. For a copy of the GeoGebra file, click here.

This second one is not a doodle. It is using a specific equation which I had seen somewhere on the web. When I can find it again I will give credit where credit is due. This is just a doctored version of the original. My GeoGebra file is here

 

Need some practice factoring quadratics?

Hope this helps!

Central and Inscribed Angles

I wish I could have used this in my Geometry classes!