Curated OER
Eccentricity of Conic Sections
In this conic sections worksheet, 11th graders solve and complete 26 various types of problems. First, they identify the eccentricity of each equation shown. Then, students use the information provided to write the standard form equation...
Curated OER
Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
CK-12 Foundation
Ellipses: The Ellipse
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Alabama Learning Exchange
Ellipse
High schoolers explore the concept of ellipses. In this ellipses lesson, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the major axis,...
Curated OER
Ellipse
Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...
Curated OER
Ellipse
Students find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.
Curated OER
Planet Paths: Studying Planetary Orbital Paths
Learners define and identify planetary orbit, ellipse, parabola, and hyperbola, and simulate Kepler's Second Law. They explore interactive websites demonstrating orbital motion and complete modeling activities.
Curated OER
Ellipses And Kepler's First Law
Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Conic Sections
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
Math Is Fun
Math Is Fun: Conic Sections
Students learn about conic sections. Topics include eccentricity, directrix, and the general equation. The tutorial consists of notes, examples, and practice problems to check for comprehension.
Other
Platonic Realms: Conics
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Mathematics Archives
Math Archives: Eccentricity in Polar Conics
Good site explaining Eccentricity in Polar Conics. The site is quite detailed.
Wolfram Research
Wolfram Math World: Eccentricity
This site explains eccentricity, the quantity defined by a conic section to determine its type of conic section. Has links to related topics.
Other
Platonic Realms: Function
Resource provides an introduction to conics. A picture of each conic, the definition, and a brief discussion about the standard form of conic equations are given, along with encouragement to master conics.
National Council of Teachers of Mathematics
The Math Forum: Conic Basics
A written description of the different conic sections is described at this site from the Math Forum. The description identifies the importance of the eccentricity in determining the type of conic.
Alabama Learning Exchange
Alex: Ellipse
This lesson plan is designed for an Algebra II through Pre-Calculus classes and introduces the conic section- an ellipse. In this lesson plan students explore an ellipse, the set of points in a plane such that the sum of the distances...