Geometry
Chapter 12 Circles
Unit 12-1 Lines That Intersect Circles
- Standard 12a:
Identify tangents, secants, and chords.
- Standard 12b:
Use properties of tangents to solve problems.
Agenda
- Cord
- Secant Line
- Tangent Lines
- Assignment 12-1: Pg. 797 #12, 14, 16, 18-22, 27, 31, 32, 35, 38-40
Unit 12-2 Arcs and Chords
- Standard 12c: Apply properties of arcs.
- Standard 12d:
Apply properties of chords.
Agenda
- Measuring Arcs using Central Angles
- Chords and Secants
- Tangent Lines
- Assignment 12-2: Pg. 806 #25-35, 38, 39, 48, 49
Unit 12-3 Sector Area & Arc Length
- Standard 12e: Find the area of sectors
- Standard 12f: Find arc lengths.
Agenda
- Using Central Angles to Find Arc Lengths
- Finding Sector & Segment Areas
- Assignment 12-3: Pg. 813 #13-21 odd, 23-27, 35
Unit 12-4 Inscribed Angles
- Standard 12g: Find the measure of an inscribed angle.
- Standard 12h: Use inscribed angles and their properties to solve problems.
Agenda
- Comparing Central to Inscribed Angles
- Finding Sector & Segment Areas
- Assignment 12-4: Pg. 824 #16-27, 39, 40
Unit 12-5 Angle Relationships in Circles
- Standard 12i: Find the measures of angles formed by lines that intersect circles.
- Standard 12j:
Solve problems using angle measures formed by lines that intersect circles.
Agenda
- Comparing Interior to Inscribed Angles
- Finding the value of Interior and Exterior Angles
- Assignment 12-5: Pg. 835 #18, 19, 22-25, 27-30, 39, 42, 43 (for problems 29-30 50 degrees represents the measure of the angle not the arc)
Unit 12-6 Segment Relationships in Circles
- Standard 12k: Find the lengths of segments formed by lines that intersect circles.
- Standard 12l:
Use the lengths of segments in circles to solve problems.
Agenda
- Chords, Tangents, Secants, & Exterior Segments
- Product Relationship among Segments within Circles
- Assignment 12-6: Pg. 844 #14, 16, 20, 21, 23-25, 33, 34, 39
Unit 12-7 Circles in the Coordinate Plane
- Standard 12m: Write equations and graph circles in the coordinate plane.
- Standard 12n:
Use the equation and graph of a circle to solve problems.
Agenda
- Chords, Tangents, Secants, & Exterior Segments
- Product Relationship among Segments within Circles
- Assignment 12-7: Pg. 850 #10-16 even, 20, 22-26, 34, 35