Lesson 1: Classify rational and irrational numbers - No Calculator for this section
Duration of Days: 3
Lesson Objective
Students will be able to distinguish between rational and irrational numbers and understand that every number has a decimal expansion.
What defines a number as being irrational?
How can we demonstrate that a rational number's decimal expansion eventually repeats?
How do you convert a repeating decimal into a rational number?
Rational Number
Irrational Number
Decimal Expansion
Repeating Decimal
8.NS.A.1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Description: A lesson focused on the classification of numbers without the use of a calculator.
Purpose: To develop an informal understanding of decimal expansions and the distinction between rational and irrational values.
DOK Level: Level 2 (Skill/Concept) – Classifying numbers and performing conversions between decimals and fractions.
Differentiation Strategies: Use visual aids to compare repeating versus non-repeating decimals and provide scaffolded practice for converting repeating decimals into fractions.
Exit Tickets