Concept Map

# Teaching Outlines

This page describes the various two dimensional conic sections that can be obtained.[1]

## Concept #1 Conic sections

### Learning objectives

1. Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
2. There are different ways to do this, and each way yields a different figure.
3. These figures can be represented on the graph as well as algebraically.
4. The four conic sections are circles, ellipses, parabolas, and hyperbolas.

### Notes for teachers

1. The general equation for all conics is ${\displaystyle Ax^{2}+Bxy+Cy^{2}+Dx+Ey+F=0}$
2. If ${\displaystyle B^{2}-4AC<0}$ then the curve is an ellipse, circle, point or no curve.
3. If ${\displaystyle B^{2}-4AC=0}$ then the curve is a parabola,2parallel lines, 1 line or no curve.
4. If ${\displaystyle B^{2}-4AC>0}$ then the curve is a hyperbola or 2 intersecting lines.

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• Estimated Time: 40 minutes
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## Concept #2 Hyperbola

### Learning objectives

1. Introduction to the form of a hyperbola

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## Concept #3. PARABOLA

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## Concept #4 ELLIPSE

### Learning objectives

1. Introduction to the form of a hyperbola

### Notes for teachers

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# Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template