Reviewed radians, then learned how to find arc length and sector area using radians as opposed to degrees. It is much the same, but in place of 360 we use 2π in our proportions. Then learned about some basic arc-chord relationships, noting that an inscribed angle has half the measure of the intercepted arc.
Notes from board
Homework
handout from last week #1-4, 9-12 (blank copy)
have these formulas memorized ASAP: http://bit.ly/formulas18
assessment is Thurs (A) or Fri (B)
Resources
arc length and sector area using radians: link
Went over homework and EOC details, then reviewed inscribed angles and arc measure, solving several 'puzzle' type problems that used the fact that the inscribed angle is half the intercepted arc and the fact that circles measure 360° in total. Looked at the arc measures formed by chords, observing that the angle made by the chords is equal to the average of the 2 arcs. Also used AA~ and proportions to find a relationship among the split lengths of intersecting chords. Did some independent practice. Noticed that a radius is perpendicular to a tangent line at the point of tangency, then learned about equations of circles (will learn more about this next class).
Notes from board
Blank copy of practice done in class #2-14 (evens)
Homework
work on the practice test (blank copy) (SOLUTIONS)
have these formulas memorized ASAP: http://bit.ly/formulas18
assessment is Thurs (A) or Fri (B)
Resources
CO-A1d: know all terminology from this video: link
C-A1a: intersecting chord theorem: link
C-A1a: radius and tangent perpendicular: link
C-B5a: Sector Area, degrees: link
C-B5a: Arc Length, radians: link
C-A2a: inscribed angle and intercepted arc measure: link1 link2
GPE-A1a: equation of a circle, explained: link
GPE-A1a: equation of circle with diameter endpoints: link
GPE-A1a: determine if a point lies on a circle or not: link
GPE-A1a: graph a circle given equation: link (starts at 3:20)
C-A3a: Angle/Arcs formed by chords: link