Ch 20: ORELA Middle Grades Math: Graphing Functions

About This Chapter

Use the short video lessons and quizzes in this course to help you prepare for the ORELA Middle Grades Mathematics test questions on graphing functions.

ORELA Middle Grades Math: Graphing Functions - Chapter Summary

The lessons in this chapter provide an overview on determining the shapes of functions in preparation for the ORELA Middle Grades Math exam. Review the traits, applications and formulas related to graphing functions through our lessons that cover:

  • Plotting points
  • Identifying traits of functions
  • Finding slope
  • Determining line intercepts
  • Point-slope formula
  • The distance and midpoint formulas
  • Parabolas
  • Graphing polynomials

The lessons in this chapter include 5-10 minute videos that use examples and fun graphics to review concepts in graphing, identifying slope and finding the midpoint of a function. You can also use the multiple-choice quizzes to make sure you understand key concepts and are ready for test day.

ORELA Middle Grades Math: Graphing Functions Objectives

The ORELA Middle Grades Mathematics exam is used as a licensing exam for those who wish to teach basic math to middle school students. The test covers topics in a wide range of content areas, including math operations, algebra, geometry and statistics. The properties of functions in graphs are covered within the algebra and functions content area, which form about 33% of the test questions. This test is entirely computer based and includes 150 questions. You'll have four hours and fifteen minutes to complete this exam.

10 Lessons in Chapter 20: ORELA 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 ORELA Middle Grades Mathematics: Practice & Study Guide course

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