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
Earth Science Regents: The Ellipse
Starting with the instructions to draw an ellipse, and with great pictures, this sheet should help your pupils learn the shapes and measurements involved. Using push pins and string, your class can discover the axis and focus points...
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...
Curated OER
Eccentricity
In this eccentricity worksheet, students solve and complete 20 various types of problems that include the eccentricity of an ellipse and a hyperbola. First, they graph each ellipse and list the variable values, calculating the...
Curated OER
Orbital Bliss
Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...
Curated OER
Review Quiz before Mini-Exam
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
Curated OER
Drawing Ellipses Lab
In this ellipse activity, learners learn the difference between an orbit and an ellipse. They draw ellipses and calculate the distance between foci, they calculate the length of the major axis and they determine the eccentricity. They...
Curated OER
Ellipses
Students analyze formulas for ellipses. They solve by completing the square. Students find the center of the ellipses. They listen as the teacher describes the eccentricity of an ellipse. Students work several problems independently.
University of Washington
Kepler’s Laws
Introduce your physics or astronomy class to Kepler's laws of planetary motion with this straightforward instructional activity. It covers the basic concepts of each and has learners answer questions to demonstrate their grasp on them....
Alabama Learning Exchange
Ellipse
Students 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, foci, etc.
Curated OER
Graphing and Properties of Ellipses
In this algebra learning exercise, 11th graders identify the center, vertices, co-vertices, length of major and minor axis. There are 20 questions with an answer key.
Curated OER
Planetary Orbit
Students compare and contrast ellipses of various eccentricities that represent the shape of planetary orbits. They make a circle with the string by trying the two ends togther. Students calculate the eccentricity of their ellipses by...
Curated OER
Ellipses
For this ellipses worksheet, students measure and calculate the eccentricity of each ellipse and then calculate the percent deviation. This worksheet has 10 problems to solve.
Curated OER
Orbital Motion
Pupils use a formula to measure the eccentricity of an ellipse, then state Kepler's Law of Elliptical Orbits. They predict the solar energy received at different positions in a planet's orbit.
Curated OER
Exercise Set 8.2: Ellipses
In this ellipses worksheet, learners solve 78 problems. Students write ellipses equations in standard form. Learners write equations given the center, a values, b values, and a horizontal or vertical access.
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, students 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.
Curated OER
Ellipses
Students analyze ellipse and solve equations. For this algebra lesson, students investigate information about ellipse and solve problems involving ellipse. They analyze and graph ellipse, and write an equation for the ellipse.
Curated OER
Ellipses And Kepler's First Law
High schoolers 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.
Curated OER
Planet Paths: Studying Planetary Orbital Paths
Students 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
Orbits Worksheet #1
A diagram of Earth's path around the sun, including the position of the moon, is displayed at the top of the worksheet. Five multiple questions get astronomers to analyze the diagram considering what is going on in the solar system. Use...
Curated OER
Bellwork for Week 19-Electromagnetic Spectrum and Planets
In this bellwork on the electromagnetic spectrum and planets worksheet, learners answer questions about the information determined using a spectroscope, the geocentric and heliocentric models of planet rotation and the planets.
Alabama Learning Exchange
Alex: Ellipse
This lesson is designed for an Algebra II through Pre-Calculus classes and introduces the conic section- an ellipse. In this lesson students explore an ellipse, the set of points in a plane such that the sum of the distances from each...
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.
NASA
Nasa: Kepler and His Laws
This site from NASA provides biographical details about the lives of Tycho Brahe and Johannes Kepler. Discusses Kepler's successes at developing laws of planeatry motion. States the three laws and discusses each one individually....