About This Chapter
Who's it for?
This unit of our High School Algebra I Homeschool course will benefit any student who is trying to learn about graphing and factoring quadratic equations. There is no faster or easier way to learn about algebra. Among those who would benefit are:
- Students who require an efficient, self-paced course of study to learn to solve polynomial problems with non-1 leading coefficients.
- Homeschool parents looking to spend less time preparing lessons and more time teaching.
- Homeschool parents who need an algebra curriculum that appeals to multiple learning types (visual or auditory).
- Gifted students and students with learning differences.
How it works:
- Students watch a short, fun video lesson that covers a specific unit topic.
- Students and parents can refer to the video transcripts to reinforce learning.
- Short quizzes and a graphing and factoring quadratic equations unit exam confirm understanding or identify any topics that require review.
Graphing & Factoring Quadratic Equations Unit Objectives:
- Learn how to solve quadratic equations with three terms.
- Explain the use of graphs and tables in the real world.
- Discover how to complete the square.
- Learn how to use line graphs and scatterplots.
- Demonstrate how to factor quadratic equations.
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!
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Other chapters within the High School Algebra I: Homeschool Curriculum course
- Basic Arithmetic Review: Homeschool Curriculum
- Solving Math Word Problems: Homeschool Curriculum
- Decimals & Fractions: Homeschool Curriculum
- Percent Notation: Homeschool Curriculum
- Working with Real Numbers: Homeschool Curriculum
- Exponents & Exponential Expressions: Homeschool Curriculum
- Simplifying Square Roots: Homeschool Curriculum
- Algebraic Expressions & Equations: Homeschool Curriculum
- Composing Functions: Homeschool Curriculum
- Matrices & Absolute Value: Homeschool Curriculum
- Working With Inequalities: Homeschool Curriculum
- Properties of Exponents: Homeschool Curriculum
- Imaginary Numbers: Homeschool Curriculum
- Algebraic Distribution: Homeschool Curriculum
- Writing Linear Equations: Homeschool Curriculum
- Factoring in Algebra: Homeschool Curriculum
- Properties of Polynomial Functions: Homeschool Curriculum
- Rational Expressions & Equations: Homeschool Curriculum
- Cubic Equations: Homeschool Curriculum
- Solving Quadratics: Homeschool Curriculum
- Measurement & Geometry: Homeschool Curriculum
- Percent & Proportions: Homeschool Curriculum
- Data, Statistics & Probability: Homeschool Curriculum
- Well-Known Equations: Homeschool Curriculum