Lesson Plan: Special Segments in a Circle Mathematics • 11th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the theorems of intersecting chords, secants, or tangents and secants to find missing lengths in a circle.

Objectives

Students will be able to

• determine unknown lengths given a pair of intersecting chords inside a circle,
• determine unknown lengths given a pair of intersecting secants,
• determine unknown lengths given an intersecting secant and tangent,
• determine whether three or four points that define two intersecting line segments can be points on a circle given the lengths of their parts,
• solve real-life problems using properties of special segments in circles.

Prerequisites

Students should already be familiar with

• solving ratios,
• similar triangles,
• solving linear and quadratic equations.

Exclusions

Students will not cover

• inscribed angles,
• angles of intersecting chords, secants, and tangents.