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

Materials

• 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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