# Number and Quantity

## The Real Number System (N-RN)

#### Extend the properties of exponents to rational exponents.

CC.9-12.N.RN.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.

CC.9-12.N.RN.2 – Rewrite expressions involving radicals and rational exponents using the properties of exponents.

## Quantities (N-Q)

#### Reason quantitatively and use units to solve problems.

CC.9-12.N.Q.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.

CC.9-12.N.Q.2 – Define appropriate quantities for the purpose of descriptive modeling.

## Vector and Matrix Quantities (N-VM)

#### Perform operations on matrices and use matrices in applications.

CC.9-12.N.VM.6 – Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

CC.9-12.N.VM.7 – Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

CC.9-12.N.VM.8 – Add, subtract, and multiply matrices of appropriate dimensions.