About This Chapter
Who's it for?
This unit of our High School Algebra II Homeschool course will benefit any student who is trying to learn about real numbers. There is no faster or easier way to learn about real numbers. Among those who would benefit are:
- Students who require an efficient, self-paced course of study to learn types of numbers, graphs of rational numbers on the number line, order of real numbers, absolute value, algebraic numbers, transcendental numbers and Pythagorean triples.
- Homeschool parents looking to spend less time preparing lessons and more time teaching.
- Homeschool parents who need a math curriculum that appeals to multiple learning types (visual or auditory).
- Gifted students and students with learning differences.
How it works:
- Students watch a short, fun video lesson that covers a specific unit topic.
- Students and parents can refer to the video transcripts to reinforce learning.
- Short quizzes and a real numbers unit exam confirm understanding or identify any topics that require review.
Real Numbers Unit Objectives:
- Explore real, irrational, whole and natural numbers, in addition to integers.
- Show how to graph rational numbers on a number line.
- Demonstrate how to change from fraction notation to decimal notation for rational numbers.
- Compare two real numbers to find the greater one.
- Discuss the meaning of algebraic and transcendental numbers.
- Tell how to discover the absolute value of real numbers.
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. Graphing Rational Numbers on a Number Line
Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.
3. Notation for Rational Numbers, Fractions & Decimals
How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.
4. The Order of Real Numbers: Inequalities
An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.
5. Finding the Absolute Value of a Real Number
You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.
6. How to Rationalize the Denominator with a Radical Expression
Watch this video lesson to learn what you can do to simplify your expression when you have a radical in the denominator. Learn what the single step solution to your problem is.
7. Algebraic Numbers and Transcendental Numbers
Math is all about numbers. In this lesson, you'll learn about the two different categories of numbers, called algebraic and transcendental. You'll learn the definition of each type and find out how common each of them is.
8. Understanding Numbers That Are Pythagorean Triples
In this video lesson, you will learn about numbers that form Pythagorean Triples. Learn why these are special numbers and what they have to do with triangles.
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Other chapters within the High School Algebra II: Homeschool Curriculum course
- Basic Arithmetic: Homeschool Curriculum
- Algebraic Equations: Homeschool Curriculum
- Complex & Imaginary Numbers: Homeschool Curriculum
- Exponential Expressions: Homeschool Curriculum
- Properties of Functions: Homeschool Curriculum
- Linear Equations: Homeschool Curriculum
- Systems of Linear Equations: Homeschool Curriculum
- Inequalities: Homeschool Curriculum
- Matrices & Determinants: Homeschool Curriculum
- Absolute Value: Homeschool Curriculum
- Polynomials: Homeschool Curriculum
- Factoring: Homeschool Curriculum
- Factoring Quadratic Equations: Homeschool Curriculum
- Rational Expressions: Homeschool Curriculum
- Graphing & Functions: Homeschool Curriculum
- Roots & Radical Expressions: Homeschool Curriculum
- Quadratic Equations: Homeschool Curriculum
- Logarithmic Functions: Homeschool Curriculum
- Conic Sections: Homeschool Curriculum
- Sequences & Series: Homeschool Curriculum
- Sets in Algebra: Homeschool Curriculum
- Combinatorics: Homeschool Curriculum
- Ratios & Percent: Homeschool Curriculum
- Statistics: Homeschool Curriculum
- Trigonometry: Homeschool Curriculum