**PA Core****PA Common Core: Mathematics (2013)**

**Numbers and Operations**

**GRADE High School**

Apply and extend the properties of exponents to solve problems with rational exponents (2.1.HS.F1)Extend the knowledge of arithmetic operations and apply to complex numbers. (2.1.HS.F6)Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems. (2.1.HS.F7)**Algebraic Concepts**

**GRADE High School**

Use the concept and notation of functions to interpret and apply them in terms of their context. (2.2.HS.C1)Graph and analyze functions and use their properties to make connections between the different representations. (2.2.HS.C2)Interpret the effects transformations have on functions and find the inverses of functions. (2.2.HS.C4)Construct and compare linear, quadratic and exponential models to solve problems. (2.2.HS.C5)Interpret functions in terms of the situation they model. (2.2.HS.C6)Interpret the structure of expressions to represent a quantity in terms of its context. (2.2.HS.D1)Write expressions in equivalent forms to solve problems. (2.2.HS.D2)Extend the knowledge of arithmetic operations and apply to polynomials. (2.2.HS.D3)Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs. (2.2.HS.D4)Use polynomial identities to solve problems. (2.2.HS.D5)Create and graph equations or inequalities to describe numbers or relationships. (2.2.HS.D7)Apply inverse operations to solve equations or formulas for a given variable. (2.2.HS.D8)Use reasoning to solve equations and justify the solution method. (2.2.HS.D9)Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically. (2.2.HS.D10)**Measurement, Data and Probability**

**GRADE High School**

Summarize, represent, and interpret data on a single count or measurement variable. (2.4.HS.B1)Use the concepts of independence and conditional probability to interpret data. (2.4.HS.B6)Apply the rules of probability to compute probabilities of compound events in a uniform probability model. (2.4.HS.B7)