# Ch 21: OAE Middle Grades Math: Graphing Functions

### About This Chapter

## OAE Middle Grades Math: Graphing Functions - Chapter Summary

Hone your ability to graph linear and nonlinear functions in preparation for the OAE Middle Grades Math exam. Follow along as instructors demonstrate how to:

- Plot points on a graph
- Analyze graphs of linear functions
- Find the slope and intercepts of a line
- Write the equation of a line
- Use the distance and midpoint formulas
- Identify parabolas in standard, intercept and vertex forms
- Graph higher degree polynomials

These entertaining video lessons make it fun to review even the most basic function topics. The multiple-choice quizzes could also prove useful if you'd like to familiarize yourself with test question formatting or verify your understanding of these topics.

### OAE Middle Grades Math: Graphing Functions Chapter Objectives

The graphing skills covered in this chapter's lessons can be used to answer OAE Middle Grades Math questions assessing your ability to analyze linear and nonlinear function properties and use them to solve real-world problems. These skills are among several tested by the exam's Algebra and Functions content domain, which includes around 33% of exam content. There are 150 multiple-choice questions on the exam altogether. Responses are used to determine your eligibility for a middle grades math teaching license in Ohio.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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.

### 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.

### 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.

### 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!

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### Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

- OAE Middle Grades Math: Basic Arithmetic Operations
- OAE Middle Grades Math: Solving Math Word Problems
- OAE Middle Grades Math: Properties of Numbers
- OAE Middle Grades Math: Roots & Radical Expressions
- OAE Middle Grades Math: Exponents & Exponential Expressions
- OAE Middle Grades Math: Scientific Notation
- OAE Middle Grades Math: Simplifying Whole Number Expressions
- OAE Middle Grades Math: Integers
- OAE Middle Grades Math: Rational Numbers
- OAE Middle Grades Math: Estimating & Rounding
- OAE Middle Grades Math: Number Theory
- OAE Middle Grades Math: Introduction to Fractions
- OAE Middle Grades Math: Operations with Fractions
- OAE Middle Grades Math: Introduction to Decimals
- OAE Middle Grades Math: Operations with Decimals
- OAE Middle Grades Math: Percents
- OAE Middle Grades Math: Rates, Ratios & Proportions
- OAE Middle Grades Math: Money & Consumer Math
- OAE Middle Grades Math: Factoring
- OAE Middle Grades Math: Properties of Functions
- OAE Middle Grades Math: Monomials & Polynomials
- OAE Middle Grades Math: Writing Algebraic Expressions
- OAE Middle Grades Math: Basic Algebraic Expressions
- OAE Middle Grades Math: Algebraic Distribution
- OAE Middle Grades Math: Writing & Solving One-Step Equations
- OAE Middle Grades Math: Writing & Solving Two-Step Equations
- OAE Middle Grades Math: Simplifying & Solving Rational Expressions
- OAE Middle Grades Math: The Coordinate Graph
- OAE Middle Grades Math: Linear Equations
- OAE Middle Grades Math: Systems of Linear Equations
- OAE Middle Grades Math: Negative Numbers
- OAE Middle Grades Math: Absolute Value
- OAE Middle Grades Math: Inequalities
- OAE Middle Grades Math: Number Patterns & Sequences
- OAE Middle Grades Math: Measurement
- OAE Middle Grades Math: Perimeter & Area
- OAE Middle Grades Math: Polyhedrons & Geometric Solids
- OAE Middle Grades Math: Symmetry, Similarity & Congruence
- OAE Middle Grades Math: Properties of Lines
- OAE Middle Grades Math: Triangles
- OAE Middle Grades Math: Triangle Theorems & Proofs
- OAE Middle Grades Math: Similar Polygons
- OAE Middle Grades Math: The Pythagorean Theorem
- OAE Middle Grades Math: Quadrilaterals
- OAE Middle Grades Math: Circles
- OAE Middle Grades Math: Circular Arcs & Measurement
- OAE Middle Grades Math: Transformations
- OAE Middle Grades Math: Data & Graphs
- OAE Middle Grades Math: Sets
- OAE Middle Grades Math: Statistics
- OAE Middle Grades Math: Data Collection
- OAE Middle Grades Math: Samples & Populations
- OAE Middle Grades Math: Probability
- OAE Middle Grades Mathematics Flashcards