Geometry of the Circle
Table of Contents
Intersecting segments of circles – Day 1 ……………………………………………………………………………………………..…………….Page1 HW: Pages 8-10
Arcs and Chords – Day 2 ……………………………………………………….…………………………………….……………….……..…………….. Page 11 HW: Pages 18-20
Inscribed Angles – Day 3…………………………………………………………..……………..………………..……………………………………….. Page 21 HW: Pages 27-28
Review – Day 4 …………………………..…………………………………………………………………………………………..……………….….….. Page 29 HW: Pages 29-38 o Full Period Quiz Lessons: Day 1- Day 4
Other Angle Relationships in Circles – Day 5 ……………………………………………………………………………………………………… Page 39 HW: Pages 46-48
More Angle Relationships in Circles – Day 6 ……………………………………………………………………………………………………… Page 48 HW: Pages 48-54 o Full Period Quiz Lessons: Day 5 - Day 6
Segment Relationships in Circles – Day 7 …………………………………………………………………………………………..……………… Page 55 HW: Pages 60-61
Review Day 8 & 9 …………………………….…………………………………………………………….Pages 62 - 68
Day 10 - Test Lines That Intersect Circles – Day 1
Tangents
1
2. 3. 4. 8 6 4 10 9
5.
2
6.
3
7. 8.
4
9.
5
Example 10. GEF is circumscribed about find the perimeter of GEF.
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
6
Challenge
SUMMARY
Exit Ticket
7
Homework
8
9
3 3
3 3
3 3
10
Arcs and Chords of Circles – Day 2
Warm - Up
1.
2.
11
12
13
14
15
3.
16
SUMMARY
Exit Ticket
A. 20 C. 130 17
B. 110 D. 450 Day 2 – Homework
18
19
17. 18. 1 9. 20.
21. 22. 23.
24. 25. 26. 27. 28.
20
Inscribed Angles – Day 3
21
m
22
Level B – Problems
23
Model Problem #4 Model Problem #5
Find Find
24
Level B
#6
25
Challenge
SUMMARY
Exit Ticket
26
Day 3 – Homework
27
28
Day 4 – Review Day
Warm – Up
Example 1:
In the diagram of circle O below, chord is parallel to diameter and m = 30.
What is m ?
Example 2:
In the diagram of circle O below, chord is parallel to diameter and m = 100.
What is m ?
29
Practice
3.
4.
30
Section 1: Tangents of Circles
1. Fdfd
2.
3.
31
4.
5.
6.
32
7.
8.
Section 2: Relating Arcs and Chords
9. Calculate the radius.
33
10. O with chord 9 units from the center and a radius of 41 units. Calculate the length of the chord.
11.
12.
34
13. 13b.
Section 3: Central Angles
14.
35
15.
16.
17. Find each measure. a. m b. m c. m d. m e. m
36
Section 4: Inscribed Angles
18. gvdfds 23.
19. Gfgdf 24.
20. Fdfdf 25.
21. Fdfd 26.
22. Jhjh
37
27.
28.
29. dffd
30.
31.
38
Day 5 – Angle Relationships in Circles
Warm - Up
39
40
Example 1: Vertex is _____ circle
Example 2: Vertex is ______circle
Example 3: Vertex is ______circle
41
Example 4:
Example 5: Vertex is ______circle
Example 6: Vertex is ______circle
42
43
Summary
2(m ) = x
2(m ) = x + y
2(m ) = x - y
44
Exit Ticket
2.
3.
45
Homework
46
47
Answers
Day 6 – More with Angle Relationships in Circles
48
Review of Angles in Circles:
1.
2.
3.
49
4.
5.
6.
50
7.
51
8.
52
9.
53
10.
54
Day 7 – Segment Relationships of Circles
Level A
55
Level B
56
57
Find the value of y. 5. 6.
8. 7.
58
Challenge
Find the diameter of the plate.
Summary
Exit Ticket
59
Homework
60
61
Day 8 & 9 - REVIEW
62
63
64
65
66
67
68