Algebra I (MAT111) Syllabus

- (N-RN) Domain

The Real Number System

Extend the properties of exponents to rational exponents

  • MAT-HS.N-RN.01 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
  • MAT-HS.N-RN.02 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Use properties of rational and irrational numbers

  • MAT-HS.N-RN.03 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.