About This Chapter
Below is a sample breakdown of the Quadratic Equations and Functions 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||Solving quadratics that are not in standard form||Restating a quadratic equation in standard form; definition of the zero product property|
|Tuesday||Quadratic equations: factoring and formula||Definition and use of the quadratic formula; use of factoring to solve a quadratic equation|
|Wednesday||Factoring quadratic equations: use of the non-1 leading coefficient||Definition of the coefficient in relation to x; directions for factoring quadratic equations with squared numbers higher than one|
|Thursday||Factoring quadratic equations: FOIL in reverse||Instructions for backwards multiplication of binomials|
|Friday||Completing the square: equation and practice problems||Converting a quadratic equation from standard form to vertex form|
1. 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.
2. 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.
3. 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!
4. 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!
5. 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.
6. 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!
7. 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.
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Other chapters within the Business Math Curriculum Resource & Lesson Plans course
- Number Sense: Business Math Lesson Plans
- Linear Equations and Inequalities: Business Math Lesson Plans
- Graphing and Evaluating Equations and Functions: Business Math Lesson Plans
- Probability and Statistics for Business: Business Math Lesson Plans
- Depreciation & Salvage Values: Business Math Lesson Plans
- Interest & Purchases: Business Math Lesson Plans
- Business Math Applications
- Math for Financial Analysis