Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make comparisons. 

Concepts

irrational numbers, rational numbers, simplifying expressions, multiplying decimals, dividing decimals

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Additional Tags

math

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Instructional Ideas

• Give a number to each pupil and ask them to classify it under a rational or irrational heading, addressing misconceptions and continue until they understand the concept
• Create a large number line and give learners a number to place on it; use different representations of numbers including fractions, decimals, roots, etc.

Classroom Considerations

• Includes a wide range of topics, so use the parts of the lesson appropriate for your classes
• The second lesson in an 11-part series

Pros

• Provides a set of practice problems

Cons

• Lesson seems to focus more on computation than on an understanding of the types of numbers

Common Core

6.NS.C.6.a 6.NS.C.7.a 8.NS.A.1