Ch 3: Graphing and Evaluating Equations and Functions: Business Math Lesson Plans

About This Chapter

The Graphing and Evaluating Equations and Functions chapter of this course is designed to help you plan and teach about graphing inequalities, undefined slope and zero slope in your classroom. 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 Graphing and Evaluating 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.

DayTopicsKey Terms and Concepts Covered
MondayEquation of a Line: Forms and FormulasFormula for point-slope form, with examples; definitions and illustrations of undefined slope and zero slope
TuesdayGraphing Inequalities: Process and Practice ProblemsInstructions for graphing 1-variable and 2-variable inequalities; practice problems with inequalities
WednesdayDistance and Midpoint Formulas: Equations and Examples Use of the Pythagorean theorem to calculate the distance between two points; use of the midpoint formula to locate the middle of a line segment
ThursdayGraphing Basic and More Complex FunctionsDirections for plotting points on the Cartesian plane; definition of a composite function, including its domain and range
Friday Discontinuities, Domain and Range in Functions Asymptotic, jump and point discontinuities; use of graphs to calculate the domain and range of functions

10 Lessons in Chapter 3: Graphing and Evaluating Equations and Functions: Business Math Lesson Plans
Test your knowledge with a 30-question chapter practice test
Equation of a Line Using Point-Slope Formula

1. 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.

Graphing Undefined Slope, Zero Slope and More

2. 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!

How to Graph 1- and 2-Variable Inequalities

3. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Graphing Inequalities: Practice Problems

4. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

How to Use The Distance Formula

5. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

6. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

Graphing Basic Functions

7. Graphing Basic Functions

Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.

Compounding Functions and Graphing Functions of Functions

8. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

Discontinuities in Functions and Graphs

9. Discontinuities in Functions and Graphs

In this lesson, we talk about the types of discontinuities that you commonly see in functions. In particular, learn how to identify point, jump and asymptotic discontinuities.

What Is Domain and Range in a Function?

10. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

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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