Circles Part 2: Angle Relationships

Transformulas

Once similarity intuition has been built with circles, we can start getting into more specific relationships with angles and segments.  This post will look at using visual information from central angles and inscribed angles.

Pi Charts

http://wp.me/p464yb-2D

Students sometimes lack intuition for the measure of something.  Andrew Stadel has developed this idea into a thorough curriculum on estimation. In my classes we started reasoning through similar exercises.  Once we had a decent understanding of circle parts and whole, we moved on to other types of angles.

Non-Central Angles

At this point most students have the common sense that a circle has 360 degrees, and a triangle is half that at 180 degrees.  Built with this intuition in mind, we look at a triangle created by inscribed angles.

http://tube.geogebra.org/material/simple/id/115590

The next day we get to see the formula that collapses 3 ideas down to 1.

Dynamic Angles in…

View original post 372 more words

Advertisements

About Mr-Butler

Math Teacher Volleyballer Crochet Crazy Puzzle Gamer

Posted on July 8, 2014, in Common Core, Geometry, Good Teaching, July14 Challenge, Transformulas.org, Uncategorized and tagged , , , , . Bookmark the permalink. Leave a comment.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: