• The Real Number System
N-RN Extend the properties of exponents to rational exponents.

MGSE9-12.N.RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.

N-RN Use properties of rational and irrational numbers.

MGSE9-12.N.RN.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.

Quantities
N-Q Reason quantitatively and use units to solve problems.

MGSE9-12.N.Q.1a Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems: a. Identify, use, and record appropriate units of measure within context, within data displays, and on graphs

MGSE9-12.N.Q.1b Convert units and rates using dimensional analysis (English-to-English and Metric-to Metric without conversion factor provided and between English and Metric with conversion factor)

MGSE9-12.N.Q.1c Use units within multi-step problems and formulas; interpret units of input and resulting units of
output.

MGSE9-12.N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. Given a
situation, context, or problem, students will determine, identify, and use appropriate quantities for
representing the situation.

GA: HS: Algebra
Seeing Structure in Expressions
A-SSE Interpret the structure of expressions.

MGSE9-12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

MGSE9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in
context.

MGSE9-12.A.SSE.1b Given situations which utilize formulas or expressions with multiple terms
and/or factors, interpret the meaning (in context) of individual terms or factors.

Arithmetic with Polynomials & Rational Functions
A-APR Perform arithmetic operations on polynomials.

MGSE9-12.A.APR.1 Add, subtract, and multiply polynomials; understand that polynomials form a
system analogous to the integers in that they are closed under these operations.
•  Key Vocabulary

Algebra • Binomial Expression • Capacity • Circumference • Coefficient • Constant Term • Expression • Factor • Integer • Irrational Number • Monomial Expression • Perimeter • Polynomial Function • Radical • Radicand • Standard Form of a Polynomial • Term • Trinomial • Variable • Volume • Whole Numbers