Ch 3: Real Numbers in Algebra II Lesson Plans

About This Chapter

The Real Numbers in Algebra II chapter of this course is designed to help you plan and teach the types of numbers used advanced algebra 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 in Algebra II 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.

DayTopicsKey Terms and Concepts Covered
Monday Number types and graphing numbers Natural, whole, integers, rational, irrational and real numbers; graphing rational numbers on the number line
Tuesday Notations Converting a fraction notation for a rational number to a decimal notation
Wednesday Order of numbers; absolute zero Determining which number is greater; using inequalities; definition and examples of absolute value
Thursday Irrational denominators; algebraic and transcendental numbers Rationalizing expressions with a radical in the denominator; the differences between algebraic and transcendental numbers
Friday Pythagorean Triples Integers that fit the formula for the Pythagorean Theorem

8 Lessons in Chapter 3: Real Numbers in Algebra II 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.

How to Rationalize the Denominator with a Radical Expression

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.

Algebraic Numbers and Transcendental Numbers

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.

Understanding Numbers That Are Pythagorean Triples

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.

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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