Curated OER
Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
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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...
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Circles and Ellipses
In this circles and ellipses worksheet, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and sketch. They...
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Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
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As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
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Map Projections
Pupils view examples of various map projections using a website. Students record differences between the map projections. Pupils discuss uses for the various map projections and the differences between the maps they viewed. Students...
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Polar and Cartesian Coordinates
Students review polar coordinates, as well as translations and rotations in Cartesian Coordinates. They also watch a video on conics and write a summary of the video for a quiz grade. Students then find an equation after a...