About This Chapter
FTCE: Number Sense and Math Operations - Chapter Summary
We can help you prepare for the Florida Teacher Certification Examinations (FTCE) General Knowledge Test through these video lessons on number sense and math operations. By the end of this series of lessons, you should be able to solve real-world problems that involve operations with rational numbers. Specific topics addressed in this chapter's videos include the following:
- Identifying different types of numbers
- Comparing the relative value of real numbers
- Ordering decimal numbers
- Comparing and ordering fractions
- Finding the greatest common factor and the least common multiple
- Determining the order of operations
Objectives of the FTCE: Number Sense and Math Operations Chapter
The state of Florida requires prospective teachers to pass the FTCE General Knowledge Test. This certification exam measures your skills in mathematics, reading and English language. You'll also have to write an essay. The math subtest gives test takers 100 minutes to complete 45 multiple-choice questions. Approximately eight of these questions focus on number sense and math operations. Students are provided with a four-function calculator at their testing center.
You can start reviewing your number sense and math operations skills by taking the self-assessment quizzes associated with each lesson. This can help you identify your greatest areas of need. After watching each video lesson, take the test again to see if your understanding of these topics has improved.
1. What are the Different Types of Numbers?
Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.
2. Comparing and Ordering Decimals
In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.
3. Performing Operations with Decimals
Decimals are used to represent parts of a whole and are very useful in many types of measurements and calculations. In this lesson, learn how to add, subtract, multiply, and divide decimals.
4. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
5. Performing Basic Operations with Fractions
You probably know how to perform basic operations for whole numbers, but do you know how to add, subtract, multiply, and divide fractions? This lesson introduces you to the rules for basic operations with fractions.
6. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.
7. How to Perform Addition: Steps & Examples
Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.
8. How to Perform Subtraction: Steps & Examples
Subtraction is one of the basic operations in math. Watch this video lesson to learn how you can view and understand subtraction so that you can easily perform it.
9. How to Perform Multiplication: Steps & Examples
Multiplication, one of the basic operations of math, is important not just in elementary math but also in higher math. Watch this video lesson to learn how you can multiply with ease.
10. How to Perform Division: Steps & Examples
Watch this video lesson to learn how you can divide. Division is one of the basic operations of math. It is one of the fundamental operations that all higher mathematics depends upon.
11. Solving Word Problems: Steps & Examples
Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.
12. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
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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: Measurement
- FTCE: Geometry and Spatial Sense
- FTCE: Algebraic Thinking
- FTCE: The Coordinate Plane
- FTCE: Data Analysis
- FTCE: Probability
- Studying for FTCE General Knowledge
- FTCE General Knowledge Test Flashcards