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Lesson Plan: Angles of Tangency Mathematics • Third Year of Preparatory School
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to identify the angle of tangency in a circle and find its measure using the measure of its subtended arc, inscribed angle, or central angle subtended by the same arc.
Objectives
Students will be able to
- find the measure of an angle of tangency in a circle using the measure of arcs and vice versa, including solving linear equations,
- find the measure of an angle of tangency in a circle using the measure of an inscribed angle subtended by the same arc and vice versa including solving linear equations,
- find the measure of an angle of tangency in a circle using the measure of a central angle subtended by the same arc and vice versa, including solving linear equations,
- proving that a ray or a straight line is tangent to a circle passing through some given points using the concept of the angle of tangency.
Prerequisites
Students should already be familiar with
- triangles and their properties,
- measures of arcs, central, and inscribed angles,
- theories of parallel chords and tangents in a circle,
- properties of cyclic quadrilaterals,
- properties of tangents,
- solving linear equations.
