Conic-Sections-Introduction-G11-Pre-Calculus.pdf

calculus

1. CONIC SECTIONS
PRE-CALCULUS GRADE 11

2. LEARNING OBJECTIVE
•Illustrate the different types of conic sections; circle,
parabola, ellipse, hyperbola, and degenerate
cases.

3. SUCCESS CRITERIA
•I can identify the four main types of conic sections: circle, ellipse, parabola,
and hyperbola.
•I can explain degenerate cases (a point, a line, or two intersecting lines) when
the plane passes through the vertex of the cone.
•Solve basic problems involving the properties of conic sections, such as finding
the equation of a conic section given certain parameters.

4. CONIC SECTION
Conic sections are the curves that result from the intersection of a
right circular cone and a plane
Generators
Vertex
Axis

5. CONIC SECTION
Conic sections are the curves that result from the intersection of a
right circular cone and a plane
Plane
Cone

6. DEGENERATE CASES
When the plane intersects at the vertex, it becomes degenerate
cases.
Point Line Two intersecting lines