About This Chapter
Below is a sample breakdown of the Linear Equations 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|| What is a Linear Equation?; |
Applying the Distributive Property to Linear Equations
Linear Equations: Intercepts, Standard Form and Graphing
| An explanation of slope-intercept form; |
Solving linear equations with the distributive property
Techniques for graphing a linear equation
|Tuesday|| Abstract Algebraic Examples and Going from a Graph to a Rule; |
Graphing Undefined Slope, Zero Slope and More
| The process of solving an abstract equation; |
An exploration of positive slope and undefined slope
|Wednesday|| Parallel, Perpendicular and Transverse Lines;|
Graphs of Parallel and Perpendicular Lines in Linear Equations
|Definitions of parallel, perpendicular and transverse lines; |
How to tell if graph lines are parallel or perpendicular
|Thursday||How to Write a Linear Equation||Identifying perpendicular and parallel lines|
|Friday|| What is a System of Equations?;|
How Do I Use a System of Equations?
| Comparing and contrasting equations;|
A look at the building and solving of a system of equations
1. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
2. Applying the Distributive Property to Linear Equations
When it comes to linear equations, there are certain steps you have to take to solve them. One of them is the application of the distributive property when you see a pair of parentheses. Watch this video lesson to learn how.
3. Linear Equations: Intercepts, Standard Form and Graphing
Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.
4. Abstract Algebraic Examples and Going from a Graph to a Rule
Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.
5. Graphing Undefined Slope, Zero Slope and More
There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!
6. Graphs of Parallel and Perpendicular Lines in Linear Equations
When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.
7. How to Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
8. What is a System of Equations?
So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.
9. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
10. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
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Other chapters within the Algebra I Curriculum Resource & Lesson Plans course
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