Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not a perfect square, individuals estimate the length by comparing perfect square values.

Concepts

pythagorean theorem, hypotenuse, square roots

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Additional Tags

math

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Instructional Ideas

• Incorporate board work to check for understanding of estimation of square roots

Classroom Considerations

• Learners should understand how to use the Pythagorean Theorem prior to this lesson
• Lesson should be completed without using calculators

Pros

• Provides scaffolding suggestions to differentiate the lesson
• Includes all answer keys with worked-out solutions

Cons

• None

Common Core

8.NS.A.1 MP1 MP3