CONTACT CCSD21

999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

School Board & Administration


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Mathematics

The Number System

Critical Content

Power Standards

  • Approximate irrational numbers (e.g., √2, ∏) to the nearest rational number. (8.NS.2)

 

Concepts and Skills

* Power Standard Content

  • * Rational numbers – terminating, repeating decimals
  • * Irrational numbers – decimal approximations, number line locations

 

Critical Language

Language Usage

  • A student in 8th grade will demonstrate the ability to apply and comprehend critical language by explaining how to approximate irrational numbers to the nearest rational numbers.

 

Content-Specific Vocabulary

  • Rational
  • Terminate
  • Repeating decimal
  • Irrational
  • Decimal approximation

 

Process-Specific Vocabulary

  • Approximate

 

Concept-Based Connections

Essential Understandings

  • We classify numbers in our number system into a variety of categories to facilitate modeling and performing operations.

 

Factual Guiding Questions

  • How can you locate an irrational number on a number line?
  • What is the difference between a rational and an irrational number?

 

Conceptual Guiding Questions

  • What does it mean for a number to be irrational?
  • How can you determine whether a decimal is repeating, terminating, or non-terminating?

 

Engaging/Debatable Guiding Questions

  • Why do we sometimes approximate irrational numbers to rational numbers?