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Ch 39: GACE Math: Conic Sections

About This Chapter

Use these entertaining videos on conic sections, most of them less than ten minutes in length, to prepare for the GACE Math assessment. If you have any trouble with the conic concepts in this chapter, please reach out to our instructors for help.

GACE Math: Conic Sections - Chapter Summary

Take these mobile-friendly videos with you to fit study time in wherever you go. This chapter helps you to master the conic sections topics likely to pop up on the GACE Math assessment, including:

  • Parabola focus and directrix
  • Finding a parabola equation
  • Ellipses and hyperbolas
  • Deriving an ellipse equation
  • Finding a hyperbola equation

The video transcript, found below each video lesson, presents the most important information in bold, making it easy to locate key terms and equations. The lesson quizzes offer you a great opportunity to get practice for the exam.

5 Lessons in Chapter 39: GACE 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Mathematics (522): Practice & Study Guide course

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