I recently attended an excellent Webinar, Slices of Pi, with Key Curriculum Press. In one of the activities, we investigated Pi in a rather unusual way: by looking at the ratio 22/7.
In honor of the upcoming Pi Day celebrations, I thought I'd share this with you and your students. Very interesting!
One of the learning goals for Unit 5 (Moving Straight Ahead) is "I can construct tables, graphs, and symbolic equations that express linear relationships."
I've put together a Sketchpad tutorial to show you (or your students) how the investigation with Henri and Emile can be represented using dynamic software. You may want to use this tutorial to teach yourself how to construct the representation and then lead your students through it, or set it up as an independent activity.
Catch the web presentation, Slices of Pi, by Andres Marti. Slices of Pi provides you an opportunity to engage in Sketchpad activities that explore circles and use dynamic approaches to reveal the value of pi. In this webinar, you will:
plot geometric measurements to derive the circumference-to-diameter ratio, then slice up a circle to derive the area formula
explore simple animations that unexpectedly reveal pi
investigate inscribed polygons, equations of circles, and the relationship between circles and ellipses.