Curated OER
Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
Curated OER
Johannes Kepler
In this online interactive history worksheet, students respond to 10 short answer and essay questions about the achievements of Johannes Kepler. Students may check some of their answers on the interactive worksheet.
Curated OER
Seasonal CEENBoT
Students simulate the Earth's revolution around the sun using CEENBoT. In this earth science lesson students calculate the Earth's distance in AU and it's speed of revolution. They explain how the Earth's movement cause seasonal variation.
Curated OER
Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
Curated OER
Satellite Tracker
Students use satellite tracking software to monitor different satellites. They predict and graph the motion of the space station. They create a 3-D display of its path and share it with the class.
Curated OER
Nature of Meteor Showers
Ninth graders describe, in general terms, the distribution of matter in space and
identify evidence for, and describe characteristics of, bodies that make up the solar system. They then investigate predictions about the motion,...
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
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
Mathigon
Mathigon: Geometry: Circle and Pi: Conic Sections
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
Physics Classroom
The Physics Classroom: Circular Motion Principles for Satellites
From The Physics Classroom. Uses easy- to-understand language to discuss how circular motion principles apply to the motion of satellites. Describes the tangential velocity and centripetal acceleration of a satellite. Includes many...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Graphing an Ellipse
Dr. Math, in a reply to a student question, mentions a couple of different methods to use to obtain the graph of an ellipse, the doctor details one way by using the known coordinates of a circle.
National Council of Teachers of Mathematics
The Math Forum: Circles
Various forms of equations of circles are presented at the Math Forum: center-radius form, general form, diameter form, three-point form, and parametric form.
Physics Classroom
The Physics Classroom: Circular and Satellite Motion: Kepler's Three Laws
Through interactive practice problems and examples, students explore Kepler's Three Laws of Planetary Motion.
University of Saskatchewan (Canada)
University of Saskatchewan: Circles and Other Conics
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Wolfram Research
Wolfram Mathworld: Astroid
Find out how an astroid is related to the ellipse at this math page. This page starts with describing how an astroid may be created easily with two concentric circles with a given ratio, the site then goes into details regarding the...
Math Open Reference
Math Open Reference: Constructions
Learn about drawing shapes using only a compass and straight edge or ruler with out measuring any lengths or angles.
Texas Instruments
Texas Instruments: Numb3 Rs: Waxing Elliptical
Based off of the hit television show NUMB3RS, this lesson introduces students to the ellipse, especially it's foci. Students create an ellipse on wax paper by repeatedly folding a circle to meet a chosen internal point. When finished,...
Texas Instruments
Texas Instruments: Conic Equations
This Learn Check file is a review of writing conic sections given the graph of a conic section. Students are asked to use the graphs to write the equations for a ellipse, circle, parabola, and hyperbola.
Discovery Education
Discovery Education: Web Math: Plots and Geometry
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
CK-12 Foundation
Ck 12: Interactive Geometry: 10.1 Conic Sections
The conic sections are the cross-sections of a double-napped cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
Varsity Tutors
Varsity Tutors: Hotmath: Conic Sections
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
Texas Instruments
Texas Instruments: Conics
Three Learning Check documents on the various characteristics of parabolas, circles, ellipses, and hyperbolas.
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...