Ch 1: Real Numbers: Types & Properties Lesson Plans

About This Chapter

The Real Numbers: Types & Properties chapter of this course is designed to help you plan and teach the properties of real numbers in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Real Numbers: Types & Properties chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

DayTopic Key Terms and Concepts Covered
Monday Types of numbers; rational numbers Natural, whole, integers, rational, irrational and real numbers; the number line; graphing rational numbers; notation of rational numbers, fractions and decimals
Tuesday Real numbers Determining the order of real numbers; finding the absolute value of a real number
Wednesday Commutative and associative property Reordering operations using commutative property; associating expressions using associative property
Thursday Multiplication property of zero; rationalizing denominators Applications and examples of the multiplication property of zero; how to rationalizing denominators containing radical expressions
Friday Algebraic numbers and Pythagorean triples Algebraic and transcendental numbers; primitive and non-primitive Pythagorean triples

8 Lessons in Chapter 1: Real Numbers: Types & Properties Lesson Plans
Test your knowledge with a 30-question chapter practice test
What are the Different Types of 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.

Graphing Rational Numbers on a Number Line

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.

Notation for Rational Numbers, Fractions & Decimals

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.

The Order of Real Numbers: Inequalities

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.

Finding the Absolute Value of a Real Number

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.

The Commutative Property: Definition and Examples

6. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

The Associative Property: Definition and Examples

7. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

The Multiplication Property of Zero: Definition & Examples

8. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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