Lesson 8: Tangents to a Circle
Bridge (5 min) | · Bring diagrams of solar and lunar eclipses to class and ask students if they how such eclipses occur Ø Show the students diagrams that illustrate how tangents drawn from the sun help explain the shadow that will appear on Earth during a solar eclipse |
Learning Objectives | · To have students learn what is a tangent and the properties a tangent to a circle has · To have students conjecture these properties after working through given examples |
Teaching Objectives | · To have students gain an appreciation for how and why these tangent properties are important in real life · To have students relate these properties to what they have already learnt about for chords and angles |
Pre-Test (5 min) | · Teacher will review verbally the concepts covered so far in the unit Ø Will draw-out example problems on the board and have students volunteer to answer on how to solve the question |
Participatory Learning (25 min) | · Have students work together in small groups on a set of problems that will involve tangents to circles Ø Have groups predetermined by teacher Ø Have students try to come up with tangent properties by following instructions given on provided problems |
Post-Test (20 min) | · As a class go over what each group found based on their answers to the problems (10 min) Ø On board write up the similar/differing properties that the groups conjectured · Lesson notes on the properties of tangents to a circle (10 min) Ø Refer back to the class conjectured in their groups and comment on the ones that are true and the ones that aren’t o For the ones found not to be true, go over where the groups were mistaken to clear up any confusion students may have |
Summary (10 min) | · End class with an exit slip question for students Ø Have students answer on slip of paper the question written on board relating to tangents to a circle and have the students hand in this paper before leaving |
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