NC.M1.A-CED.3 Create systems of linear equations and inequalities to model situations in context.
NC.M1.A-CED.2 Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.
NC.M1.A-CED.1 Create equations and inequalities in one variable that represent linear, exponential, and quadratic relationships and use them to solve problems.
Create equations that describe numbers or relationships.
NC.M1.A-SSE.3 Write an equivalent form of a quadratic expression ax 2 + bx + c, where a is an integer, by factoring to reveal the solutions of the equation or the zeros of the function the expression defines.
Write expressions in equivalent forms to solve problems.
NC.M1.A-SSE.1.b Interpret a linear, exponential, or quadratic expression made of multiple parts as a combination of entities to give meaning to an expression.
NC.M1.A-SSE.1.a Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents.
NC.M1.A-SSE.1 Interpret expressions that represent a quantity in terms of its context.
Interpret the structure of expressions.
NC.M1.A-SSE Seeing Structure in Expressions.
NC.M1.A-APR.3 Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.
Understand the relationship between zeros and factors of polynomials.
NC.M1.A-APR.1 Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.
Perform arithmetic operations on polynomials.
NC.M1.A-APR Arithmetic with Polynomial Expressions.
NC.M1.N-RN.2 Rewrite algebraic expressions with integer exponents using the properties of exponents.
Extend the properties of exponents to rational exponents.