Lesson: Eccentricity of Conic Sections Mathematics • 12th Grade

In this lesson, we will learn how to find the eccentricity of conic sections and use it to find their equations or types.

Lesson Plan

Students will be able to

understand the geometric meaning of the eccentricity of the conic section,
calculate the eccentricity of a conic section from its equation,
calculate the eccentricity of a conic section from its graph,
use the eccentricity to determine the type of conic section,
calculate and use the eccentricities of conic sections to solve real-world problems.

Q1:

Give the formula for the eccentricity of the hyperbola with equation

Q2:

Calculate the eccentricity of the hyperbola with the equation .

Q3:

Which of the following could be the eccentricity of a hyperbola?