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Ch 34: GACE Middle Grades Math: Graphing Functions

About This Chapter

Take a look at our video lessons to review what you've previously learned about graphing functions. Our instructors cover parabolas, formulas, and the equations of lines to get you ready for questions on the GACE Middle Grades Mathematics assessment.

GACE Middle Grades Math: Graphing Functions - Chapter Summary

This chapter's video lessons are a great resource if your skills in graphing functions have become a little rusty. Watch the videos to get comfortable with the following by the day of the GACE Middle Grades Mathematics assessment:

  • Plotting points to graph functions
  • Identifying traits of a function
  • Finding the slope and intercepts of a line
  • Using the point-slope formula to find the equation of a line
  • Defining parabola
  • Using the distance and midpoint formulas
  • Recognizing parabolas in standard, intercept and vertex forms
  • Graphing polynomials

To ensure you grasp the concepts in this chapter, experienced instructors use graphs, animations and step-by-step problems in our entertaining videos. Videos, which you can view on your mobile device, are short and contain tags so you can jump to key points as desired. We also provide lesson quizzes and transcripts.

10 Lessons in Chapter 34: GACE Middle Grades Math: Graphing Functions
Test your knowledge with a 30-question chapter practice test
Graph Functions by Plotting Points

1. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

2. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.

How to Find and Apply The Slope of a Line

3. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

How to Find and Apply the Intercepts of a Line

4. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Equation of a Line Using Point-Slope Formula

5. 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.

How to Use The Distance Formula

6. 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

7. 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.

What is a Parabola?

8. 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.

Parabolas in Standard, Intercept, and Vertex Form

9. 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.

How to Graph Cubics, Quartics, Quintics and Beyond

10. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

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