Reviewed and Approved

Comparing Rational and Irrational Numbers

Resource ID#: 42244

Primary Type: Problem-Solving Task


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Students are given a pair of numbers. They are asked to determine which is larger, and then justify their answer. The numbers involved are rational numbers and common irrational numbers, such π and square roots. This task can be used to either build or assess initial understandings related to rational approximations of irrational numbers.

General Information

Subject(s): Mathematics
Grade Level(s): 8
Intended Audience: Educators , Students , Parents
   
Instructional Time: 15 Minute(s)
 
Freely Available: Yes
Keywords: Comparing Rational and Irrational Numbers, Comparing, Rational, Irrational, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics



Aligned Standards

Name Description
MAFS.8.NS.1.2: 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 (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.