Ch 40: ORELA Math: Conic Sections

About This Chapter

The ORELA Mathematics exam is used in the state of Oregon to certify math teachers. Review the material in this chapter to prepare for questions about conic sections on the exam.

ORELA Mathematics: Conic Sections - Chapter Summary

As part of your preparation for the for the ORELA Mathematics exam, use these lesson videos to learn more about conic sections. Watch our expert instructors as they explain the properties of a parabola, ellipses, hyperbolas and foci. Once you finish the lessons, you could be prepared to answer questions about:

  • Focus, directrix and equations of a parabola
  • Foci of ellipses and hyperbolas
  • Equations for ellipse and hyperbolas from the foci

If you think you would benefit from an alternative review of the material, try reading over the lesson transcripts which present the same material in a written format. Complete the chapter by working on lesson worksheets and quizzes.

ORELA Mathematics: Conic Sections Objectives

Individuals take the ORELA Mathematics exam to demonstrate their expertise in the field of mathematics and become certified math teachers. This computerized certification exam is used by the state of Oregon and has a time limit of 4 hours and 15 minutes. There are 150 multiple-choice questions on it, and about 19% are about measurements and geometry. Use the tools of this chapter to prepare for questions in the Measurements and Geometry content domain on the properties of conic sections.

5 Lessons in Chapter 40: ORELA 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 ORELA Mathematics: Practice & Study Guide course

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