The document outlines the learning objectives for grade 11 pre-calculus on conic sections, including the identification of main types like circles, ellipses, parabolas, and hyperbolas, as well as degenerate cases. It emphasizes the ability to explain these concepts and solve basic problems related to their properties. Additionally, it defines conic sections as curves formed by the intersection of a cone and a plane.

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