Ch 40: WEST Math: Conic Sections

About This Chapter

Need a quick refresher on conic sections? The text and video lessons included in this chapter can prepare you for any question about conic sections on the WEST Math exam.

WEST Math: Conic Sections - Chapter Summary

The WEST Math exam includes numerous questions that test your coordinate and transformational geometry knowledge, including your understanding of conic sections. In this chapter, we touch on the following topics:

  • The definition of an ellipse
  • Finding the equation of a hyperbola
  • Deriving the equation of an ellipse from the foci
  • Finding the equation of a parabola from the focus and directrix

Our fun, engaging video and text lessons are crafted by expert math instructors, and the video lessons are only 5-10 minutes long. Each lesson is jam-packed with helpful examples of problems and step-by-step solutions to ensure you're ready for any question about conic sections on the WEST Math test. Even better, test your knowledge with a short quiz at the end of each lesson, and reach out to our instructors any time you need help.

WEST Math: Conic Sections - Chapter Objectives

You must pass the WEST Math exam if you want a math endorsement as a current or new teacher in the state of Washington. In this particular chapter, we focus solely on WEST Math exam questions involving conic sections. These kinds of problems are part of the measurement and geometry sub-area, which makes up roughly 19% of all questions on the test.

The test is computer-based and has 150 total multiple-choice questions that you'll answer within 4 hours and 15 minutes. The testing center provides you with a calculator and a formula sheet. To pass the exam, you need a total score of at least 220, and you'll know whether or not you passed immediately upon exam completion.

5 Lessons in Chapter 40: WEST 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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