Warm up dealt with completing the square to find standard form of circle equation and then graphing it. [See here for video demonstrations: link 1 link 2, first 5 min] Then finding circle equation given two endpoints of a diameter. [SEe here for a video demonstration of this concept: link]
Homework:
Watch and take notes on the video here: direct link
Found the area of a (right) triangle inscribed in a semicircle. Reviewed binomial expansion from algebra (see here for an example: link). Then looked at angles formed by chords based on previous night's video and worked through several concrete examples (see resources for video versions). Also introduced circumscribed angles of a circle and found their relationship to the captured arc by using knowledge of quadrilaterals.
Notes from board
this site has similar information: link
Homework:
p. 361 #10abc
p. 370 #10 and 11 (note that #11 in the book has a typo: should be arc MNQ - 200°.)
Resources
Angles formed by chords (p 361 hw) link
angles formed by chords (p 361 hw) link
circumscribed angles (p 370 hw) link
another example, similar to "proof" done in class link
Worked on some area problems dealing with circles, then discovered properties of cyclic quadrilaterals link
Finished volcano problem.
notes from board
Homework
none