Warmup dealt with parallel and perpendicular line equations and solving for y. Went over Q4 material and EOC info. Factored and solved quadratic equations and re-introduced the algebra I topic of completing the square.
Notes from board
Homework
FINISH PROJECTS. Due Tuesday for A blocks, Wednesday for B blocks
Warm up involved writing the equation of a line perpendicular to a given line through a given point. Completed reflections on our project work, then changed seats and played Which One Doesn't Belong with a variety of different shapes. Then examined how the equation of a circle on the coordinate plane emerges from the distance formula and then wrote equations for circles based on given centers and radii and also extracted centers and radii from given equations of circles.
Notes from board
Homework:
p 395 #12-15
Resources
writing the equation of a perpendicular line thru a point: link
why the circle equation is what it is: link
circle equation and how it works: link
circles centered at the origin: link
given center and radius, write equation: link
writing circle equation using endpoints of diameter: link
Warm-up dealt with writing the equation of a line parallel to a given line, through a given point. Went over homework, then worked through how to take two endpoints of a diameter and write the equation of a circle. Then looked at how to use the circle equation to determine if a point lies on the circle or not, as well as how to write the equation of a circle given a center and any random point on the circumference. Then began looking at how to identify the center and radius of a circle when it is not written in standard form--that is, when you have to do a process called completing the square to identify the center and radius.
Notes from board
Homework:
#1-10 on [this handout]
Resources
write equation of circle using diameter's endpoints: link
write equation of circle using center and point on circle: link
find radius given the area: link
find radius given circumference: link
completing the square, center and radius: link link 2