Ch 40: NES Math: Conic Sections

About This Chapter

Watch these lessons to brush up on equations for ellipses, hyperbolas and parabolas, along with other information related to conic sections, as you prepare to take the NES Math test. Use our videos, quizzes and other study tools to get ready for this part of the test.

NES Math: Conic Sections - Chapter Summary

This chapter's lessons offer a review of information that includes equations for parabolas, ellipses and hyperbolas. You can refresh your knowledge for the NES Math test through lessons on topics such as:

  • How to use the focus and directrix of a parabola to find the equation
  • Definitions and foci of ellipses and hyperbolas
  • How to derive the equations of an ellipse and a hyperbola from the foci

You can watch these lessons and complete short quizzes anytime, using a computer or mobile device. Each video includes a Timeline with video links that let you jump back to specific parts of the lesson for review. For every lesson, there's a text transcript with key terms in bold type, and a sheet of quiz questions you can print and use for offline study.

NES Math: Conic Sections Chapter Objectives

Five states use the NES Math test as one of their requirements for granting certification to teach math at the secondary level. The test consists of multiple-choice questions and is computer-based. You can get experience answering questions in this format through our lesson quizzes and chapter exams, which also consist of multiple-choice questions.

The NES Math test's questions are divided by topic into portions. Questions on conic sections are in the content domain on measurement and geometry, which accounts for 19% of the exam.

5 Lessons in Chapter 40: NES 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.
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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 within the NES Mathematics (304): Practice & Study Guide course

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