Ch 15: PLACE Mathematics: Quadratic Equations

About This Chapter

Watch the engaging video lessons in this chapter on solving and simplifying parabolas, binomials and quadratic equations as part of your preparation for the PLACE Mathematics.

PLACE Mathematics: Quadratic Equations - Chapter Summary

Future educators preparing for the Program for Licensing Assessments for Colorado Educators (PLACE) Mathematics will benefit from this chapter by learning how to work with parabolas, binomials and quadratic equations. In these video lessons, our instructors will prepare you for questions on:

  • Standard, intercept and vertex forms of parabolas
  • Using FOIL and the area method when multiplying binomials
  • Factoring quadratic equations
  • Completing the square
  • The quadratic formula
  • Quadratic equations that are not in standard form

After watching the video lessons in this chapter, reinforce your knowledge by completing lesson quizzes. Review topics you do not have a firm understanding of using video timelines that will take you straight to key topics in the video lessons or transcripts that present the material in an easy-to-read written format. If at any time you have any questions, send them to our instructors for clarification.

PLACE Mathematics: Quadratic Equations Objectives

The PLACE Mathematics is a key part of the certification process for math teachers in Colorado. This paper-based certification exam is composed of a series of multiple-choice questions, including questions on the functions and relations of mathematics. Such questions include those on quadratic functions. Use the materials in this chapter to fortify your knowledge on quadratic functions before taking the PLACE Mathematics.

7 Lessons in Chapter 15: PLACE Mathematics: Quadratic Equations
Test your knowledge with a 30-question chapter practice test
Parabolas in Standard, Intercept, and Vertex Form

1. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

Multiplying Binomials Using FOIL and the Area Method

2. Multiplying Binomials Using FOIL and the Area Method

From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.

How to Factor Quadratic Equations: FOIL in Reverse

3. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

How to Complete the Square

4. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

How to Solve a Quadratic Equation by Factoring

5. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

How to Use the Quadratic Formula to Solve a Quadratic Equation

6. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

How to Solve Quadratics That Are Not in Standard Form

7. How to Solve Quadratics That Are Not in Standard Form

It isn't always the case that your equation will be set up nicely for you to solve. In this lesson, learn how to factor or use the quadratic formula to solve quadratic equations, even when they are not in standard form.

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 PLACE Mathematics: Practice & Study Guide course