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Rational and Irrational Numbers Guided Notes - Real Number System Notes

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Description

These rational and irrational numbers guided notes are aligned to the 8th grade common core state standards. Focus is placed on understanding rational and irrational numbers, converting fractions to decimals, converting decimals to fractions and approximating irrational numbers. Students will calculate, explain, analyze and delve into the real number system.

Formatted for back-to-back printing with page numbers. Teacher can create a packet for student organization.

These in-depth guided notes contain:

  • 1 title page
  • 7 pages of guided notes
  • 2 pages of additional practice (10 problems)
  • 1 lined page for extra notes
  • Complete answer key

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Total Pages
22 pages
Answer Key
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Teaching Duration
N/A
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Standards

to see state-specific standards (only available in the US).
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 (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
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.

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