NR.N.1 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. NR.N.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

NR.N.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.

NC.N.1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. NC.N.2. Define appropriate quantities for the purpose of descriptive modeling.

A.APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

## Standards

NR.N.1 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.

NR.N.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

NR.N.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.

NC.N.1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

NC.N.2. Define appropriate quantities for the purpose of descriptive modeling.

A.APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

## Examples of lesson cycles and tasks

Polynomial Unit

Rational Exponents and Radicals Unit (Cache, UT, refers to N.NR.1 and N.NR.2)

Complex Numbers Richfield N.CN.1 and N.CN.2