Copyright

Ch 40: TExMaT Master Mathematics Teacher 8-12: Conic Sections

About This Chapter

Re-examine the components of parabolas, ellipses and hyperbolas, and try your hand at deriving the equations for these conic sections with entertaining video lessons and quizzes designed to get you ready for the TExMaT Master Mathematics Teacher 8-12 exam.

TExMaT Master Mathematics Teacher 8-12: Conic Sections - Chapter Summary

Let us prepare you for geometry and calculus problems included on the TExMaT Master Mathematics Teacher 8-12 exam. This chapter's lessons review methods for finding the equation of a conic section when given the following:

  • A parabola's focus and directrix
  • An ellipse's foci
  • A hyperbola's foci

If you're looking for convenient study materials to help you get ready for this TExMaT exam, consider our self-paced video lessons and multiple-choice quizzes. Instructors break down test content into manageable 5-10 minute video segments you can access on your mobile device.

TExMaT Master Mathematics Teacher 8-12: Conic Sections - Chapter Objectives

This TExMaT exam is used by the Texas Education Agency to award Master Mathematics Teacher credentials to applicants who demonstrate a solid understanding of their content area as well as effective instructional techniques. The exam contains 90 multiple-choice questions and a case study assignment covering six content domains, including measurement and geometry and precalculus and calculus.

The conic section topics covered in this chapter might come in handy when answering measurement and geometry questions asking you to derive the equations of conic sections. These lessons can also prepare you for precalculus and calculus questions testing your familiarity with the properties of conic sections, their second-degree equations and their uses to solve problems.

5 Lessons in Chapter 40: TExMaT Master Mathematics Teacher 8-12: 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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

Support