Warm up involved writing the equation of a circle given diameter endpoints and then testing to see if a point was on the circle or not. Went over homework, then practiced completing the square to find a circle's radius and center, including the more complicated situations where x and y terms both need 'makeovers' and even when they are scrambled up (not grouped together in descending exponent order)
Notes from board
Homework
#11-16 on handout given out last week
TYPO: #12 should equal NEGATIVE 81.
Resources
completing the square, center and radius: link link 2
[Wednesday 3B class did not meet due to storm.] Warm up involved crossed chords being in proportion and solving a multi-step equation to find y. Also did warm ups involving regular polygons and their angles (see here for a review: angle sum, each angle) as well as finding the perimeter and area of an unusual figure involving circles. Passed out Q4 learning targets and went over homework and then returned to Euclidean geometry and circles and found certain relationships involving central angles, tangent and secant angles and the arcs they create, the length of tangents, and the arcs captured by intersecting chords. Passed out the practice assessment.
Notes from board
Handout from class that went with notes
Q4 learning targets
Homework:
complete practice assessment [blank copy here] [SOLUTIONS HERE]
skip #8 (try it if you want....we didn't get to cover it)
Resources
write equation of circle using diameter's endpoints: link
determine if a point lies on a circle or not: link
completing the square, center and radius: link link 2
graphing a circle on the coordinate plane: link
perimeter of a circumscribing polygon: link
tangent-tangent angle and arcs: link
MANY great examples related to arcs and angles: link
more examples of arcs and angles: link
Looked over practice assessment solutions before taking real assessment. Learned about what a radian is, as an alternate approach to measuring angles and curvature that doesn't depend on the arbitrary 360° idea. Converted from degrees to radians using the identity that 180° is the same angle or bend as π radians, Here is the concept of what a single radian is: link and here is how radians relate to sin cos and tangent waves: link
Notes from board
Homework:
- memorize formulas ahead of Apr 27-28 EOC! MUST KNOW ALL COLD: http://bit.ly/formulas17
-watch and take notes on this video: LINK