Archive for Free Technology

Parametric Spiral Ball Animation with GeoGebra 5

This is that neat thing I said I was working on in GeoGebra 5.  I wanted to come up with a mathematical model that described this metal mixing ball. After playing around with some formulas and testing out properties, I chose some constants for a, n, and d for the base image.  For each frame p, GeoGebra took a “screen capture” of the curve after all t units in the domain [-π, π] were mapped.  This is the formula I came up with:

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How Many Squares Can You Make in a 5 x 5 Peg Lattice Board?

I’ve been wanting to post this problem for a long time.  I don’t know why I’m so lazy.

4 x 4 Unit Lattice Board

Suppose you have a 5 x 5 peg lattice board like one on the right:
Without injuring yourself or others, how many rubber band squares can you make on the board?
How many rubber band squares can you make on an N x N peg lattice board?

The picture above is a screenshot of the Geoboard app.
This app is a:
provided by The Math Learning Center.



I’m so excited to check out GeoGebra5. I just find it very ironic that the day it is released is the same day I’m admitted to the hospital.

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Creativity Meets Math

Screen capture using Circular Design Maker

Screen capture using Circular Design Maker

Ever wonder if there’s any creativity in logic and math?  Do left-brained people struggle to be creative?  Where does creativity and logic come from?

Try out my Circular Design Maker.
* This seems to work better with the Mozilla Firefox browser

I was curious what it would look like if rotated rotating points around center points around another center point.  LOL. Try saying that 5 times fast!

Using GeoGebra, I made this worksheet for us to see.

Try making some designs and take pictures of them!

Creativity and Logic come from Curiosity.

Months ago I saw a video on Facebook that stuck with me. (See video below or click here).  The entrepreneurs of many successful companies all got their start from learning programming:  Facebook, Dropbox, Fab, just to name a few.

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