Segment Lengths in Circles
1 The Hook/Warm-Up
Use Kahoot to review previous material taught (i.e. Angle relationships in circles). Have students log in while you go around checking homework. Go over homework and questions over homework. Then play kahoot.
2 Direct Instruction
Present the following powerpoint by clicking the link. Use examples in the powerpoint for whole class participation and discussion.
3 Guided Practice
After the Powerpoint, have several students go to the board and have the rest of the the class pick a problem for the student to teach the class on the board.
4 Independent Practice
Have students who would like to work independently on their own do so or allow peer-tutoring if needed as the teacher observes and assists students as needed.
Have students make up their own question on an index card and have the teacher work those out for her homework. These cards should be passed back to the students the next day.
Key Standards Supported
Prove that all circles are similar.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
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.