Connections 3: Lesson 01: Types of Numbers

  • I can classify numbers as real, whole, natural, integers, rational, and irrational.
  • I can compare and order rational and irrational numbers.
  • I can plot rational numbers on a number line.
  • I can estimate to plot irrational numbers on a number line.

Why is this lesson important to me?

Understanding the vocabulary and terms used in math will make it easier for you to be successful in higher-level math courses.

Classifying terms, objects, and information is a skill you will use throughout life. For example, when planting a garden you might need to classify your plants according to their growing season and soil type.

Vocabulary

By the end of this lesson you will be able to correctly use and define each of the terms below.

Real numbers include all numbers. Rational and irrational numbers are real numbers

Rational numbers can be written as the fraction of two integers. When the fraction is divided the quotient is a terminating decimal or a repeating decimal.

Irrational numbers include decimals that do not terminate or repeat and fractions with a denominator of 0.

Integers include positive numbers, negative numbers, and 0. Integers do not include fractions or decimals.

Whole numbers are positive numbers. Whole numbers do not include negative numbers.

Natural numbers are the positive whole numbers you count by.

Let’s Begin!

Print the Lesson 01 Interactive Notes and follow along with our lesson content guide.

Lesson 01 Interactive Notes

Digital Lesson Content and Videos
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Lesson 1 Interactive Notes
These can be printed or used digitally, which ever method you and your instructor prefer.

Math-U-See Manipulative Set
You will use the manipulatives to complete the Lesson 1 - Apply It! Number Classification Student Activity. These blocks will also be helpful on the Lesson 1 - Mastery Check.
**If these blocks are not available you will need a set of small items such as coins, mini erasers, paper clips, etc.

Instructor Content
Available to instructors through the digital toolbox using their course log in. The instructor content is essential for supporting students, and will provide answer keys and other relevant instructor material.