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
| Examples of slope-intercept form equations;|
How to solve linear equations with the distributive property
|Tuesday|| Linear Equations: Intercepts, Standard Form and Graphing;|
Abstract Algebraic Examples and Going from a Graph to a Rule;
| The process of changing an equation to standard form;|
How to covert to a rule from a graph and perform additional abstract examples
|Wednesday|| Graphing Undefined Slope, Zero Slope and More; |
Graphs of Parallel and Perpendicular Lines in Linear Equations
| The differences between undefined slope and zero slope; |
The definitions of parallel and perpendicular lines in graphs
|Thursday|| How to Write a Linear Equation; |
Equation of a Line Using Point-Slope Formula
| The process of writing a linear equation; |
How to use point-slope formual to determine the equation of a line
|Friday||Understanding Numbers That are Pythagorean Triples||Definition of Pythagorean Triple and how to make a right triangle out of them|
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. Equation of a Line Using Point-Slope Formula
It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.
9. Understanding Numbers That Are Pythagorean Triples
In this video lesson, you will learn about numbers that form Pythagorean Triples. Learn why these are special numbers and what they have to do with triangles.
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Other chapters within the High School Precalculus Syllabus Resource & Lesson Plans course
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