Irrational Numbers Lesson Plan

Instructor: Sharon Linde

Sharon has a Masters of Science in Mathematics

Teach your students about irrational numbers with this lesson plan. Students will watch a video lesson defining irrational numbers and giving several examples of them. Discussion questions, cooperative activities and a quiz make learning meaningful.

Learning Objectives

After this lesson, students will be able to:

  • define 'irrational numbers'
  • give examples of irrational numbers
  • demonstrate understanding of irrational numbers in discussion and activities


1 hour


  • Small pieces of paper with rational and irrational numbers written on them, including Pi, Phi, Euler's rule, and other examples from this lesson
  • Index cards with rational and irrational numbers written on them
  • Tape
  • Copies of the quiz, one for each student

Key Vocabulary

  • Irrational number
  • Pi
  • Transcendental number
  • Napier's constant
  • Euler's number
  • Golden ratio
  • Golden mean
  • Divine proportion
  • Pentagram

Curriculum Standards

  • CCSS.Math.Content.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.

  • CCSS.Math.Content.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.

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