EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
Curated OER
Ellipses
Young scholars define ellipses and their properties. In this calculus lesson, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks like in 3D.
Curated OER
Graphs And Ellipses
Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
University of Washington
Kepler’s Laws
Introduce your physics or astronomy class to Kepler's laws of planetary motion with this straightforward worksheet. It covers the basic concepts of each and has learners answer questions to demonstrate their grasp on them. You could use...
Curated OER
Conics and Graphing
In this algebra worksheet, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.
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...
NASA
Rendezvous For Two
Imagine the challenge of getting the space shuttle to rendezvous with the International Space Station. Groups must determine the elliptical transfer orbit needed to get the space shuttle from its orbit to the orbit of the International...
Curated OER
Conic Sections
In this conic sections worksheet, learners solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that...
Curated OER
Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
Physics Classroom
Kelper's Three Laws
A flipped classroom lesson introduces astrophysics fanatics to Kepler's three laws of planetary motion. After reading about the laws of ellipses, equal areas, and harmonies, and also learning how Newton's gravitation concepts come into...
New Mexico State University
Lab 6: Kepler's Laws
A 15-page package thoroughly teaches your physics or astronomy learners about Kepler's three laws of planetary motion. Each one is stated and explained. Class members answer questions, solve problems, and participate in the classic...
Curated OER
Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
Curated OER
Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, learners complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
Curated OER
Classifying Conic Sections
In this conic section learning exercise, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and...
Curated OER
Definitions of Parabolas
In this algebra worksheet, 11th graders identify parts of a parabola and circle. They solve systems of equations and answer questions about radius, foci and conics. There are 20 questions on this test.
Curated OER
Orbital Motion
Students 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
How Does a Satellite Stay in Orbit?
Students explore placing a satellite into orbit, then about forces needed to keep an object in orbit. They examine how satellites orbit in elliptical paths and about properties of ellipses. They learn Kepler's 3rd Law of Planetary Motion
Curated OER
Algebra 2 Test
In this algebra worksheet, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
Curated OER
Hyperbolas
Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
Curated OER
Orbital path of Landsat
Students comprehend how Landsat satellites orbit teh Earth to produce images. They comprehend the elliptical path of satellites. Students recognize that a different orbital path is needed for different satellites to perform their tasks....
Curated OER
Algebra II Test
In this algebra test, students must determine 3 definitions, match 4 equations to the answer, 4 short answer, and graph 4 points on a coordinate plane. There are 20 questions total.
Curated OER
Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
Curated OER
Conic Sections Applications and Properties
In this algebra worksheet, 11th graders graph parabolas and figure out the major axis and minor axis of the graph. They also find the focus. There are 4 problems on this worksheet.
Curated OER
Hyperbolas
In this algebra worksheet, learners identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.