Ch 34: CEOE Middle Level/Intermediate Math: Conic Sections

About This Chapter

This chapter was designed as a brush-up for Oklahoma teachers or prospective teachers who are planning on taking the Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test. The subject matter under discussion here is conic sections.

CEOE Middle Level/Intermediate Math: Conic Sections - Chapter Summary

Use the lessons in this chapter before taking the CEOE Middle Level/Intermediate Math test. In addition to being a confidence builder, they will help you answer test questions having to do with the material the lessons cover, including:

  • Getting familiar with the focus and directrix elements of a parabola
  • Working out the equation of a parabola using the focus and directrix
  • Understanding the definitions of an ellipse and a hyperbola in relation to foci
  • Working out the equation of an ellipse and a hyperbola by using the foci
  • How to discover the equation for a circle
  • Practice problems for conic sections

These lessons break up the subject matter into short sections that focus on one concept at a time. We quiz you on the material to validate that you understand what was just discussed. Also, there is a feature that allows you to ask a question of an expert.

7 Lessons in Chapter 34: CEOE Middle Level/Intermediate Math: Conic Sections
Test your knowledge with a 30-question chapter practice test
The Focus and Directrix of a Parabola

1. The Focus and Directrix of a Parabola

In this lesson, we will review what a parabola is, then we will look at the formal definition of a parabola, introducing the focus and directrix of a parabola. We will look at some examples to help solidify our understanding of these concepts.

Finding the Equation of a Parabola from the Focus and Directrix

2. Finding the Equation of a Parabola from the Focus and Directrix

A parabola is the familiar shape seen in many physical applications, like the path taken by a ball thrown upwards. This lesson explores equations for the parabola and shows how they may be obtained from two quantities: the focus and the directrix.

Foci and the Definitions of Ellipses and Hyperbolas

3. Foci and the Definitions of Ellipses and Hyperbolas

In this lesson, we'll look at the definition of an ellipse and a hyperbola. We'll use the foci of each of these to define them technically and formally, and we'll look at some examples to make the definitions more understandable.

Derive the Equation of an Ellipse from the Foci

4. Derive the Equation of an Ellipse from the Foci

In this lesson, you're going to learn the definition of an ellipse and foci, the standard forms of the equation for an ellipse, and how to find such an equation when given the foci.

Derive the Equation of a Hyperbola from the Foci

5. Derive the Equation of a Hyperbola from the Foci

This lesson will go over what a hyperbola is and walk through the steps of finding the equation of a hyperbola given just the foci and vertex. After learning the process, we will look at an example of finding a hyperbola equation given this information.

How to Find the Equation of a Circle

6. How to Find the Equation of a Circle

There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.

Practice with the Conic Sections

7. Practice with the Conic Sections

Conic sections are shapes created by cutting through a 3D cone. In this lesson, learn how to identify each conic section from its graph and characteristic equation.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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