# Ch 1: Real Numbers: Types & Properties Lesson Plans

### About This Chapter

## 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.

Day | Topic | 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 |

### 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. 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the Trigonometry Curriculum Resource & Lesson Plans course

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