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Why is the standard form of the equatioin so important to graphing conic sections?
How is the type of nondegenerate conic classified from the general form?
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Student Learning Map
- Topic:Conic Sections
- Subject(s):Math
- Days:15
- Grade(s):11, 12
Key Learning:
Write the standard equation of each conic section and be able to draw its graph.
Classify conics from the general form of equations.
Unit Essential Question(s):
Lesson Essential Question(s):How is the equation of a conic determined, given the description of the locus of a conic section? (A)Why are lines, points, and intersecting lines classified as degenerate conics? (A)How are the types of nondegenerate conics classified from the general form? (A)Lesson Essential Question(s):What is the standard form of the equation of a circle? (A)How is the standard form of the equation used to graph a circle? (A)Why is it useful to convert from the general form of the equation to the standard form? (A)Why is it useful to convert from the general form of the equation to the standard form? (ET)Lesson Essential Question(s):What is the standard form of the equation of an ellipse? (A)How is the standard form of the equation used to graph an ellipse? (A)Why is it useful to convert from the general form of the equation to the standard form? (A)Why is it useful to convert from the general form of the equation to the standard form? (ET)Lesson Essential Question(s):What is the standard form of the equation of a hyperbola? (A)How is the standard form of the equation used to graph a hyperbola? (A)Why is it useful to convert from the general form of the equation to the standard form? (A)Why is it useful to convert from the general form of the equation to the standard form? (ET)Lesson Essential Question(s):What is the standard form of the equation of a parabola? (A)How is the standard form of the equation used to graph a parabola? (A)Why is it useful to convert from the general form of the equation to the standard form? (A)Why is it useful to convert from the general form of the equation to the standard form? (ET)Lesson Essential Question(s):Vocabulary:Hyperbola, Branches, Foci, Transverse axis, Asymptotes, Standard form, Center, Vertices, Conjugate axis
Vocabulary:Parabola, Focus, Focal chord, Directrix, Standard form, Vertex, Latus Rectum, Axis of Symmetry
Vocabulary:
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Acquisition Lesson(s):
1. How is the equation of a conic determined, given the description of the locus of a conic section?2. What is the standard form of the equation of a circle?3. What is the standard form of the equation of an ellipse?4. What is the standard form of the equation of a hyperbola?5. What is the standard form of the equation of a parabola?6. Why are lines, points, and intersecting lines classified as degenerate conics?7. How are the types of nondegenerate conics classified from the general form?8. How is the standard form of the equation used to graph a circle?9. Why is it useful to convert from the general form of the equation to the standard form?10. How is the standard form of the equation used to graph an ellipse?11. Why is it useful to convert from the general form of the equation to the standard form?12. How is the standard form of the equation used to graph a hyperbola?13. Why is it useful to convert from the general form of the equation to the standard form?14. How is the standard form of the equation used to graph a parabola?15. Why is it useful to convert from the general form of the equation to the standard form?Extended Thinking Lesson(s):
1. Why is it useful to convert from the general form of the equation to the standard form?2. Why is it useful to convert from the general form of the equation to the standard form?3. Why is it useful to convert from the general form of the equation to the standard form?4. Why is it useful to convert from the general form of the equation to the standard form?