# Ch 16: Quadratic Equations in Algebra Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Quadratic Equations in Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day | Topics | Key Terms and Concepts Covered |
---|---|---|

Monday | Quadratic equation basics | Quadratic equations' importance in algebra and real life |

Tuesday | Greatest common factor and multiplication property of zero | Solving a quadratic, greatest common factor and multiplication property of zero |

Wednesday | Solutions for quadratic equations | Zero product property, order of operations, quadratic formula, discriminant and irrational number |

Thursday | Quadratics not in standard form | Standard form, zero product property and order of operations |

Friday | Solutions for quadratic inequalities using two binomials | Quadratic expression, binomials and quadratic inequalities |

### 1. Using Tables and Graphs in the Real World

We use tables and graphs in algebra as ways to visually show an equation or function. But do we really use these in the real world? Is it that important to learn about tables and graphs? Find out in this video lesson.

### 2. Scatterplots and Line Graphs: Definitions and Uses

After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.

### 3. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

### 4. 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.

### 5. 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.

### 6. Multiplying Binomials Using FOIL & the Area Method: Practice Problems

There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.

### 7. 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.

### 8. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

### 9. Solving Quadratic Trinomials by Factoring

Factoring is a quick and easy way to find the solutions to a quadratic trinomial. Watch this video lesson to learn how you can use this method to solve your quadratics.

### 10. 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.

### 11. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

### 12. 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!

### 13. What is a Quadratic Equation? - Definition & Examples

You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.

### 14. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.

### 15. 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.

### 16. 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.

### 17. Solving Quadratic Inequalities Using Two Binomials

Watch this video lesson to learn what simple steps you can take to solve quadratic inequalities using two binomials. See how it only requires a few steps to solve quadratic inequalities using this method.

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### Other Chapters

Other chapters within the Algebra I Curriculum Resource & Lesson Plans course

- Basic Arithmetic in Algebra Lesson Plans
- Decimals & Fractions in Algebra Lesson Plans
- Percent Notation in Algebra Lesson Plans
- Real Numbers in Algebra Lesson Plans
- Exponents & Exponential Expressions in Algebra Lesson Plans
- Radical Expressions in Algebra Lesson Plans
- Algebraic Expressions & Equations Lesson Plans
- Properties of Functions in Algebra Lesson Plans
- Matrices & Absolute Value in Algebra Lesson Plans
- Working with Inequalities in Algebra Lesson Plans
- Properties of Exponents in Algebra Lesson Plans
- Complex & Imaginary Numbers in Algebra Lesson Plans
- Algebraic Distribution Lesson Plans
- Linear Equations in Algebra Lesson Plans
- Factoring in Algebra Lesson Plans
- Polynomial Functions in Algebra Lesson Plans
- Rational Expressions in Algebra Lesson Plans
- Cubic Equations in Algebra Lesson Plans
- Measurement & Geometry in Algebra Lesson Plans
- Lesson Plans for Calculations, Ratios, Percent & Proportions
- Data, Statistics, & Probability Lesson Plans
- Well-Known Equations in Algebra Lesson Plans