Name: ____________________________________________________________ Period:____________

Formal Geometry 2016-2017 rose.revilleza@washoeschools.net MrsRevillezaMath.weebly.com

Formal Geometry Unit 10 Circles

Date Section Topic Objectives

MON 3/6

10.1 Circles & Circumference I can identify and use parts of circles I can solve problems involving the circumference of a

circle.

TUES 3/7

10.2 Measuring Angles and Arcs I can identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

I can find arc length.

WED 3/8

10.4 Inscribed Angles I can find measures of inscribed angles. I can find measure of angles of inscribed polygons.

THURS 3/9

10.1-10.4 Mid Chapter Quiz I can show mastery on identifying and using parts of a circle, solving problems using the circumference of a circle, identifying central angles, major and minor arcs, and semicircles and find their measure, and finding arc length.

FRI 3/10

10.5 Tangents I can use properties of tangents.

MON 3/13

10.6 Secants, Tangents, and Angle Measures

I can find measures of angles formed by lines intersecting on or inside a circle.

I can find measures of angles formed by lines intersecting outside the circle.

TUES 3/14

10.7 Special Segments in a Circle I can find measure of segments that intersect in the interior of a circle.

I can find measures of segments that intersect in the exterior of a circle.

WED 3/15

11.3 Areas of Circles and Sectors I can find area of a circle I can find areas of sectors of circles

THURS 3/16

Review I can apply the information from the unit to solve various problems.

FRI 3/17 Unit 10 Test

2

Chapter 10 Pages 680 - 759 (Chapter 11 will also be used) Geometry: Glencoe McGraw-Hill (Red Textbook)

10.1: Circles and Circumference

“I can identify and use parts of circles.”

“I can solve problems involving the circumference of a circle.”

New Vocabulary

Radius

Chord

Diameter

Radius & Diameter Relationship

Cir

cle

Pai

rs Congruent Circles

Concentric Circles

Circumference Formula

Inscribed

Circumscribed

3

4

10.1: Circles & Circumference HOMEWORK Page 687 # 10-13,18, 20(Write the question & picture (if applicable) to each) You must show your work!

#10 #11

#12 #13

#18 #20

5

10.2: Measuring Angles and Arcs

“I can identify central angles, major arcs, minor arcs, and semicircles and find their measures.”

“I can find arc length.”

New Vocabulary

Sum of Central Angles

Minor Arc

Major Arc

Semicircle

Congruent Arcs Adjacent Arcs

6

Arc Length

7

10.2: Measuring Angles & Arcs HOMEWORK

Page 696-697 # 12, 14, 20, 36, 40, 47 (Write the question & picture (if applicable) to each) You must show your work!

#12 #14

#20 #36

#40 #47

8

10.4: Inscribed Angles

“I can find measures of inscribed angles.”

“I can find measures of angles of inscribed polygons.”

New Vocabulary

Inscribed Angle

Intercepted Arc

Inscribed Angle Theorem

Two inscribed angles that intercept at the same arc of a circle are related.

9

Theorem 10.8

10

10.4: Inscribed Angles HOMEWORK Page 713-714 # 12, 14, 18, 20, 26 (Write the question & picture (if applicable) to each) You must show your work!

#12 #14

#18 #20

#26

Mid-Chapter Quiz Next Class!

11

10.5: Tangents

“I can use properties of tangents”

New Vocabulary

Tangent

Point of Tangency

Common Tangent

Draw the common tangents. If no common tangent exists, state no common tangent.

12

Theorem 10.10 Theorem 10.11

13

10.5: Tangents HOMEWORK Page 722-723 #12-22 evens (Write the question & picture (if applicable) to each) You must show your work!

#12 #14

#16 #18

#20 #22

14

10.6: Secants, Tangents, and Angle Measures

“I can find measures of angles formed by lines intersecting on or inside a circle.”

“I can find measures of angles formed by lines intersecting outside the circle.”

New Vocabulary

Secant

Theorem 10.12

Theorem 10.13

Theorem 10.14

Circle and Angle Relationships Summary Vertex of Angle Model Angle Measure

15

16

10.6: Secants, Tangents, and Angle Measures HOMEWORK Page 732 #10-20 even (Write the question & picture (if applicable) to each) You must show your work!

#10 #12

#14 #16

#18 #20

17

10.7: Special Segments in a Circle

“I can find measures of segments that intersect in the interior of a circle.”

“I can find the measures of segments that intersect in the exterior of a circle.”

New Vocabulary

Chord Segments

Theorem 10.15 – Segments of Chords Theorem

Secant Segment

External Sevant Segment

Theorem 10.16 – Secant Segments Theorem

Tangent Segment Theorem 10.17

18

10.7: Special Segments in a Circle HOMEWORK Page 740 # 6, 8, 10-13(Write the question & picture (if applicable) to each) You must show your work!

#6 #8

#10 #11

#12 #13

19

11.3: Area of Circles and Sectors

“I can find areas of circles.”

“I can find areas of sectors of circles.”

New Vocabulary

Area of a Circle

Sector of a Circle

Area of a Sector

20

11.3: Areas of Circles & Sectors HOMEWORK Page 785 # 14, 16, 17, 18-22 Evens (Write the question & picture (if applicable) to each) You must show your work!

#14 #16

#17 #18

#20 #22

We are done with this unit!!! Let’s get ready for the Unit Test