Eighth Grade

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

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

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?