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The Unit is the 2nd unit on Circles. It includes 8 note taking guides and 8 matching videos. Topics are as follows, Lesson 1: Segment Lengths, Lesson 2: More segments, Lesson 3: Circumference and arc length, Lesson 4: Area of circles and sector areas, Lesson 5: Arc Length and Applications, Lesson 6: Spheres, Surface Area and Volume, Lesson 7: Proportions, Lesson 8: Intersection of spheres and planes. You can just use the note taking guides or pair them with the videos in class.
Prove that all circles are similar.
Identify and describe relationships among inscribed angles, radii, and chords.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Construct a tangent line from a point outside a given circle to the circle.
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.