Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.1

Explain how the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for an additional notation for radicals using rational exponents.

Unpacked Content

Knowledge

Students know:
  • Techniques for applying the properties of exponents.

Skills

Students are able to:
  • Correctly perform the manipulations of rational exponents by analyzing and applying the properties of integer exponents.
  • Use mathematical reasoning and prior knowledge of integer exponents rules to develop rational exponent notation for radicals.

Understanding

Students understand that:
  • The properties of exponents apply to rational exponents as well as integer exponents.

Vocabulary

  • Exponent
  • Root
  • Rational Exponent
  • Radical -nth root
  • Rational exponent
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