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Instructions for transforming equations of circles, parabolas, and ellipses into standard form and identifying their important features, such as center and radius for circles, vertex, latus rectum, axis of symmetry, and directrix for parabolas, and major axis, minor axis, vertices, and foci for ellipses. Examples for each conic section and requires students to graph their solutions.
Typology: Assignments
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General Instruction: Transform each equation into its Standard form. Identify and label the coordinates of the important parts/features of each conic sections.
Topic/ Title: Circle Plate Number: 1 Important Features: Center and Radius 16 ๐ฅ๐ฅ 2 + 16๐ฆ๐ฆ 2 + 96๐ฅ๐ฅ โ 40 ๐ฆ๐ฆ = 315
Topic/ Title: Parabola Plate Number: 2 Important Features: Vertex, Latus Rectum, Axis of Symmetry, and Directrix 5 ๐ฅ๐ฅ 2 + 30๐ฅ๐ฅ + 24๐ฆ๐ฆ = 51
Topic/ Title: Ellipse Plate Number: 3 Important Features: Major axis, Minor axis, Vertices, and Foci 36 ๐ฅ๐ฅ 2 + 20๐ฆ๐ฆ 2 โ 144 ๐ฅ๐ฅ + 120๐ฆ๐ฆ โ 396 = 0
Note: On your paper, write immediately the equation with your complete solution and also your graph. You have an option to use graphing paper only in graphing. You have to make your own plate with 0.5-inch border in all sides. Follow the given format. Utilize your space wisely. Printed outputs will not be accepted.
Criteria:
Accuracy 5 Points Completeness 5 Points Neatness 5 Points Promptness 5 Points Total 20 Points