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?
Numbers are classified into different types. Learn how to identify and classify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
2. Comparing and Ordering Decimals
In mathematics, a decimal is a number that includes a whole number and a fraction separated by a decimal point. Learn to recognize numbers that are decimals, and explore how to use decimals to count. Understand how to compare decimals and put them in order from the least decimal to the greatest.
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
When comparing and ordering fractions, you need to have a common denominator. Learn how to find the common denominator and understand how to compare and order 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
A number line is a line constructed with numbers that are plotted in order and at regular intervals. Learn how to use a number line to compare decimals, fractions, and whole numbers.
7. How to Perform Addition: Steps & Examples
Addition is a mathematical operation in which two or more numbers or quantities are combined together. Know the definition of addition, learn how to add, and explore the steps and examples of adding more than two numbers.
8. How to Perform Subtraction: Steps & Examples
Subtraction is a basic mathematical operation that involves one number taking value away from another number. Learn about the definition of subtraction and explore examples of how to perform subtraction and also the steps for subtracting two or more numbers from another number.
9. How to Perform Multiplication: Steps & Examples
Multiplication is a basic mathematical operation that involves the number of times a number or quantity should be added to itself. Learn about multiplication and explore the steps and examples of multiplying two or more numbers.
10. How to Perform Division: Steps & Examples
A basic mathematical operation, performing division involves separating numbers or quantities and sometimes results in remainders. Learn about the definition of division, the symbols used for division with and without a remainder, and explore examples of the steps for dividing two quantities.
11. Solving Word Problems: Steps & Examples
Solving word problems in math may require following a process that makes it easier to solve. Learn the steps used in solving word problems which include visualizing the problem, writing the equation, and solving the equation with examples of how it's done.
12. What Is The Order of Operations in Math? - Definition & Examples
The order of operations in mathematics is the sequence in which a problem is solved. Explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym PEMDAS.
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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