About This Chapter
FTCE: The Coordinate Plane - Chapter Summary
This chapter uses fun and informative video lessons to get you up to speed on the coordinate plane for the FTCE General Knowledge Test. You'll review different types of linear equations as well as the process of solving inequalities graphically, and you'll even explore the use of a scientific calculator to solve equations. After completing the chapter, you'll have covered the following:
- Intercepts, standard form and graphing linear equations
- Applying the vertical line test to functions
- Abstract algebraic equations
- Graphing slopes
- Writing, solving and graphing inequalities
- Solving systems of equations with graphing
- Determining if an ordered pair or a number is a solution to an equation
Use these short video lessons to catch up on the essential concepts you'll need to know for the FTCE exam. Each lesson explains concepts in a way that is easy to understand, and our instructors are here to help if you have any questions. Test your retention of lesson topics with self-assessment quizzes and the chapter exam.
FTCE: The Coordinate Plane Objectives
The FTCE General Knowledge Test is one of the requirements for teacher certification in the state of Florida. This chapter prepares you for algebra questions in the Mathematics subtest of the exam, which takes one hour and 40 minutes to complete and includes 45 multiple-choice questions. Some of these questions will ask you to demonstrate your knowledge of algebraic thinking, including the ability to analyze patterns, interpret expressions, solve inequalities and equations, and identify whether or not an ordered pair or a number is a solution for a given equation or inequality.
1. What Are the Different Parts of a Graph?
Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.
2. 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.
3. 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.
4. 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.
5. What is a Linear Function? - Definition & Examples
In this lesson, you will learn the key identifying mark of linear functions. You'll also learn how to graph them with just two points and how you can use the graph to easily find your answers.
6. 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!
7. 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.
8. 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.
9. Solving Linear Inequalities: Practice Problems
Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.
10. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
11. 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.
12. What is a Function? - Applying the Vertical Line Test
Equations come in all shapes and sizes. Trying to determine which equations are functions can be difficult. You can apply the vertical line test to a graph to quickly tell whether or not it is a function.
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Other chapters within the FTCE General Knowledge Test (GK) (082): Study Guide & Prep course
- About the FTCE General Knowledge Test
- FTCE: Word Choice
- FTCE: Sentence Structure
- FTCE: Grammar Skills
- FTCE: Spelling, Capitalization & Punctuation
- FTCE: Essay Skills
- FTCE: Essay Writing
- FTCE: Literal Reading Comprehension
- FTCE: Inferential Comprehension
- FTCE: Number Sense and Math Operations
- FTCE: Measurement
- FTCE: Geometry and Spatial Sense
- FTCE: Algebraic Thinking
- FTCE: Data Analysis
- FTCE: Probability
- Studying for FTCE General Knowledge
- FTCE General Knowledge Test Flashcards