Geometry Chapter 11 – Circles
California Mathematics Content Standards for Geometry
7.0 Students use and prove theorems involving the properties of parallel lines, the properties of quadrilaterals, and the
properties of circles.
16.0 Students perform basic constructions with a straightedge and compass.
21.0 Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and
inscribed and circumscribed polygons of circles.
Date
4/1
4/4
WU
Topic
11-1 Lines That Intersect
Circles
11-2 Arcs and Chords
Classwork
p. 760; 1-18
p. 761; 19 – 32, 37
4/5
4/6
p. 767-768; 12 – 14, 16 – 22, 26, 27
11-3 Sector Area and Arc
Length
p. 768-769; 23 – 27, 32 – 34
4/7
Quiz 11-1 thru 11-3
4/8
4/11
11-4 Inscribed Angles
11-5 Angle Relationships in
Circles
p. 787; 16 – 25
p. 787-788; 27 – 33, 39, 40
4/14
4/15
p. 776; 2 – 5, 7 – 11, 26
p. 776-777; 12 – 15, 17 – 22, 27
4/12
4/13
Assignment
p. 752; 16-22, 26, 27
11-6 Segment Relationships
in Circles
p. 796; 12 – 14, 16 – 21
4/18
p. 796-797; 22 – 25, 33 – 35
4/19
Study
4/20
Chapter 11 Test
8.1
Similarity in Right Triangles
Theorem: The altitude to the hypotenuse of a right triangle forms two triangles that are similar to
each other and to the original triangle.
Ex. 1: Identifying Similar Right Triangles
Definition: Geometric Means
Ex. 2: Finding Geometric Means
Theorem: The length of the altitude to the hypotenuse is the geometric mean of the lengths of the
two segments of the hypotenuse
Theorem: The length of each leg of a right triangle is the geometric mean between the length of
the hypotenuse and the length of the segment created by the altitude and adjacent to that leg.
Ex. 3: Finding side lengths in right triangles
Ex. 4: Application
8.2
Trigonometric Ratios
Definition: Sine, Cosine, Tangent
Ex. 1: Finding Trigonometric Ratios
Ex. 2: Finding Trigonometric Ratios in Special Right Triangles
Ex. 3: Calculating Trigonometric Ratios
Ex. 4: Using Trigonometric Ratios to Find Lengths
Ex. 5: Application
8.3
Solving Right Triangles
Definition: percent grade
Ex. 1: Identifying angles from trigonometric ratios
Definition: Inverse functions
Ex. 2: Calculating Angle Measures from Trigonometric Ratios
Ex. 3: Solving Right Triangles
Ex. 4: Solving Right Triangles in the Coordinate Plane
Ex. 5: Application
8.4
Angles of Elevation and Depression
Definition: Angle of Elevation
Definition: Angle of Depression
Ex. 1: Classifying Angles of Elevation and Depression
Ex. 2: Finding distance by using angle of elevation
Ex. 3: Finding distance by using angle of depression
Ex. 4: Application
8.5
Law of Sines and Law of Cosines
8.6
Vectors