PA CorePA Common Core: Mathematics (2013)
Numbers and Operations
GRADE 5
Extend an understanding of operations with whole numbers to perform operations including decimals. (2.1.5.B2)Use the understanding of equivalency to add and subtract fractions. (2.1.5.C1)Apply and extend previous understandings of multiplication and division to multiply and divide fractions. (2.1.5.C2)GRADE 6
Understand ratio concepts and use ratio reasoning to solve problems. (2.1.6.D1)Apply and extend previous understandings of numbers to the system of rational numbers. (2.1.6.E4)GRADE 8
Distinguish between rational and irrational numbers using their properties. (2.1.8.E1)GRADE High School
Apply and extend the properties of exponents to solve problems with rational exponents (2.1.HS.F1)Apply properties of rational and irrational numbers to solve real world or mathematical problems. (2.1.HS.F2)Algebraic Concepts
GRADE 4
Represent and solve problems involving the four operations. (2.2.4.A1)Generate and analyze patterns using one rule. (2.2.4.A4)GRADE 5
Interpret and evaluate numerical expressions using order of operations. (2.2.5.A1)Analyze patterns and relationships using two rules. (2.2.5.A4)GRADE 6
Apply and extend previous understandings of arithmetic to algebraic expressions. (2.2.6.B1)Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems. (2.2.6.B2)GRADE 7
Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations. (2.2.7.B3)GRADE 8
Understand the connections between proportional relationships, lines, and linear equations. (2.2.8.B2)Analyze and solve linear equations and pairs of simultaneous linear equations. (2.2.8.B3)Use concepts of functions to model relationships between quantities. (2.2.8.C2)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)Write functions or sequences that model relationships between two quantities. (2.2.HS.C3)Construct and compare linear, quadratic and exponential models to solve problems. (2.2.HS.C5)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)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)Geometry
GRADE 8
Understand and apply congruence and similarity using various tools. (2.3.8.A2)Understand and apply the Pythagorean Theorem to solve problems. (2.3.8.A3)Measurement, Data and Probability
GRADE 8
Analyze and/or interpret bivariate data displayed in multiple representations. (2.4.8.B1)GRADE High School
Summarize, represent, and interpret data on a single count or measurement variable. (2.4.HS.B1)Analyze linear models to make interpretations based on the data. (2.4.HS.B3)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)
