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Name: ____________________________________________________________ Period:____________
Formal Geometry 2016-2017 [email protected] 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
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
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.
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.
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
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