Today we quizzed over properties of circles, a 24 pt quiz at the end of class. If you missed class, you need to take this quiz on Monday if at all possible. We cannot wait until advisory on Tuesday because the test is Wednesday and students need to get their quizzes back. Come before school on Monday, during your lunch, at 2:15, or at 3:50.
Today we began with a warm-up problem about a quadrilateral inscribed in a circle, finding missing arcs and angles based on "an inscribed angle is half of its intercepted arc" and "opposite angles of a quadrilateral inscribed in a circle are supplementary".
We shared answers and suggestions and questions from the review worksheet and from HW #8 over circumference and arc length.
We also looked at prior knowledge of points on a circle centered at the origin with a radius of 1 (right triangle unit). We used that to get to "what is a unit circle?" "What is standard position?" Which way do we rotate from there? We filled in angle measures of all the special radii on the unit circle. Then we worked on coordinates (based on prior knowledge of 30-60-90 and 45-45-90 shortcuts).
HW #9 is to finish finding coordinates of all the special points on the unit circle. Also do p 323: 22, p 338: 1,2,6,9, and p 343-4: 7-10.
We then took the quiz over circle properties... 4 sketches, 12 unknowns, 2 pts each.
Attached are answers to the worksheet and some information about unit circle.
Today we began with a warm-up problem about a quadrilateral inscribed in a circle, finding missing arcs and angles based on "an inscribed angle is half of its intercepted arc" and "opposite angles of a quadrilateral inscribed in a circle are supplementary".
We shared answers and suggestions and questions from the review worksheet and from HW #8 over circumference and arc length.
We also looked at prior knowledge of points on a circle centered at the origin with a radius of 1 (right triangle unit). We used that to get to "what is a unit circle?" "What is standard position?" Which way do we rotate from there? We filled in angle measures of all the special radii on the unit circle. Then we worked on coordinates (based on prior knowledge of 30-60-90 and 45-45-90 shortcuts).
HW #9 is to finish finding coordinates of all the special points on the unit circle. Also do p 323: 22, p 338: 1,2,6,9, and p 343-4: 7-10.
We then took the quiz over circle properties... 4 sketches, 12 unknowns, 2 pts each.
Attached are answers to the worksheet and some information about unit circle.
circle_review_worksheet_answers.pdf |