Lesson 2: Compare irrational numbers and approximate location
Duration of Days: 3
Lesson Objective
Students will be able to use rational approximations of irrational numbers to compare their size and locate them approximately on a number line diagram.
How can a rational approximation be used to compare the size of two irrational numbers?
How do you locate an irrational number like square root of 2 approximately on a number line?
How can you continue to get better approximations for an irrational number?
Irrational Number
Rational Approximation
Number Line Diagram
Decimal Expansion
Truncating
8.NS.A.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Description: A lesson where students practice estimating the value of non-perfect square roots.
Purpose: To develop a numerical sense of where irrational numbers fall relative to rational numbers on a number line.
DOK Level: Level 2 (Skill/Concept) – Comparing and locating irrational values on a diagram.
Students can use a step-by-step process of truncating decimal expansions to find increasingly accurate intervals for irrational values.
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