Today our purpose was two-fold. We were increasing our mastery of application of circle properties to find unknowns. We were re-learning and practicing application of circumference and arc length.
We added p 575:11-12 to HW #7 and took a grade. We went over HW #7 in detail so that we could understand what we did not "see" in the sketches.
We spent some time reviewing circumference (its definition based on Pi being the ratio of circumference to diameter of every circle). We practiced applying these formulas. Then we went on to arc length, a measure that is not degrees but actual distance around part of a circle (part of a circumference).
Each arc length problem can be solved by applying this definition-based ratio: arc length/ circumference = arc measure/ 360.
HW #8: p 334: 7-14, 16, p 343:1-6.
We then spent the balance of our class time working on a fairly difficult review worksheet with a complex sketch of a circle and its parts that required applying circle properties (C-54-65) to find unknowns.
Quiz next block: 24 pts - study HW #6 & 7 and be able to do the review worksheet (harder than the quiz).
The worksheet is attached below.
We added p 575:11-12 to HW #7 and took a grade. We went over HW #7 in detail so that we could understand what we did not "see" in the sketches.
We spent some time reviewing circumference (its definition based on Pi being the ratio of circumference to diameter of every circle). We practiced applying these formulas. Then we went on to arc length, a measure that is not degrees but actual distance around part of a circle (part of a circumference).
Each arc length problem can be solved by applying this definition-based ratio: arc length/ circumference = arc measure/ 360.
HW #8: p 334: 7-14, 16, p 343:1-6.
We then spent the balance of our class time working on a fairly difficult review worksheet with a complex sketch of a circle and its parts that required applying circle properties (C-54-65) to find unknowns.
Quiz next block: 24 pts - study HW #6 & 7 and be able to do the review worksheet (harder than the quiz).
The worksheet is attached below.
circle_properties_worksheet.pdf |