This learning progression was performed in an algebra 1 class which was composed of mostly freshman and some sophomores. The common core standards used for this progression are; CCSS.MATH.HSN-RN.A.1 Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational exponents follow from extending the properties of integers exponents to those values, allowing for a notation for radicals in terms of rational exponents. CCSS.MATH.HSN-N.A.2- Rewrite expressions involving radicals and rational exponents using the properties of exponents. CCSS.MATH.HSN-RN.B.3 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.