So, tomorrow I will be teaching for the day at Ward Melville Senior High School in the Three Village Central School District down on Long Island (East Setauket to be exact). I have the privilege of teaching a Geometry lesson on using the equation of a line. Spoiler alert: we will be looking at how to model the following geometric pattern using linear equations in the coordinate grid:
![](https://www.emathinstruction.com/wp-content/uploads/2017/12/Doodle-with-Color.gif)
During the modeling process, we will be using the online graphing program, Desmos, to graph this pattern. I’ve already created Desmos links that will allow students to not only see the mathematics of this particular pattern, but also change the number of line segments in the pattern, such as the 40 line graph shown below:
![](https://www.emathinstruction.com/wp-content/uploads/2017/12/Adjustable-with-40-Lines.gif)
Here are links to those two Desmos graphs. Feel free to click on them and modify them as much as you’d like:
Ten Line Pattern
Adjustable Number of Lines
These patterns are fun to play with as is Desmos in general. Here are some more Desmos graphs I created and would encourage you to play around with. You can modify these to your heart’s content.
Archimeade’s Rotating Spiral
Logarithmic Spiral with Rolling Ball
Complex Ferris Wheel
Lissouj Figures
Dynamic Polar Roses
I’m hoping to have an update to this post after I get home from the visit. For now, enjoy playing around mathematically!