Ch 1: Linear Equations: Precalculus Lesson Plans

About This Chapter

The Linear Equations chapter of this course is designed to help you plan and teach the students in your classroom about terms such as standard form, undefined slope, intercepts and more. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

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

9 Lessons in Chapter 1: Linear Equations: Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

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.

Applying the Distributive Property to Linear Equations

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.

Linear Equations: Intercepts, Standard Form and Graphing

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.

Abstract Algebraic Examples and Going from a Graph to a Rule

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.

Graphing Undefined Slope, Zero Slope and More

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!

Graphs of Parallel and Perpendicular Lines in Linear Equations

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.

How to Write a Linear Equation

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.

Equation of a Line Using Point-Slope Formula

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.

Understanding Numbers That Are Pythagorean Triples

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the High School Precalculus Syllabus Resource & Lesson Plans course

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