Education Technology

Properties of an Ellipse

Subject Area
Math: Precalculus: Analytic Geometry (Conics)
Math: AP Precalculus: Functions Involving Parameters-Vectors and Matrices
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.2
Other Materials
By Steve Ouellette
Resource Types
Lessons
Format
TNS

Properties of an Ellipse

Activity Overview

Students discover properties of an ellipse, such as the set of all points such that the sum of the distances from these points to two fixed points is constant.

About the Lesson

Students investigate the definition of an ellipse. They graph an ellipse, trace the graph, and record the coordinates of at least ten points.

They will see that the sum of lengths PF1 and PF2 remain constant, while the individual lengths continuously change. From their observations, students discuss their findings and form their own definition of an ellipse.

Subject Area
Math: Precalculus: Analytic Geometry (Conics)
Math: AP Precalculus: Functions Involving Parameters-Vectors and Matrices
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.2
Other Materials
By Steve Ouellette
Resource Types
Lessons
Format
TNS
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