The Common Core in Pennsylvania

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Skills available for Pennsylvania high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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Pennsylvania Core Standards: Algebra I Pennsylvania Core Standards: Algebra I
Pennsylvania Core Standards: Algebra II Pennsylvania Core Standards: Algebra II
Pennsylvania Core Standards: Geometry Pennsylvania Core Standards: Geometry

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CC.2.2.HS Algebraic Concepts

CC.2.2.HS.C Functions
- CC.2.2.HS.C.9 Prove the Pythagorean identity and use it to calculate trigonometric ratios.
  - Trigonometric identities I (A2-BB.3)
  - Trigonometric identities II (A2-BB.4)

The Common Core in Pennsylvania

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CC.2.2.HS Algebraic Concepts

CC.2.2.HS.C Functions

CC.2.2.HS.C.9 Prove the Pythagorean identity and use it to calculate trigonometric ratios.

CC.2.1.HS Numbers and Operations

CC.2.1.HS.F Number and Quantity

CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.

CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real world or mathematical problems.

CC.2.1.HS.F.3 Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs and data displays.

CC.2.1.HS.F.4 Use units as a way to understand problems and to guide the solution of multi-step problems.

CC.2.1.HS.F.5 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

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CC.2.1.HS Numbers and Operations

CC.2.1.HS.F Number and Quantity

CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.

CC.2.1.HS.F.3 Apply quantitative reasoning to choose and Interpret units and scales in formulas, graphs and data displays.

CC.2.1.HS.F.5 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

CC.2.1.HS.F.6 Extend the knowledge of arithmetic operations and apply to complex numbers.

CC.2.1.HS.F.7 Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems.

CC.2.3.HS Geometry

CC.2.3.HS.A Geometry

CC.2.3.HS.A.1 Use geometric figures and their properties to represent transformations in the plane.

CC.2.3.HS.A.2 Apply rigid transformations to determine and explain congruence.

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CC.2.3.HS.A.3 Verify and apply geometric theorems as they relate to geometric figures.

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CC.2.3.HS.A.4 Apply the concept of congruence to create geometric constructions.

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CC.2.3.HS.A.5 Create justifications based on transformations to establish similarity of plane figures.

CC.2.3.HS.A.6 Verify and apply theorems involving similarity as they relate to plane figures.

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CC.2.3.HS.A.7 Apply trigonometric ratios to solve problems involving right triangles.

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CC.2.3.HS.A.8 Apply geometric theorems to verify properties of circles.

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CC.2.3.HS.A.9 Extend the concept of similarity to determine arc lengths and areas of sectors of circles.

CC.2.3.HS.A.10 Translate between the geometric description and the equation for a conic section.

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CC.2.3.HS.A.11 Apply coordinate geometry to prove simple geometric theorems algebraically.

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CC.2.3.HS.A.12 Explain volume formulas and use them to solve problems.

CC.2.3.HS.A.13 Analyze relationships between two-dimensional and three-dimensional objects.

CC.2.3.HS.A.14 Apply geometric concepts to model and solve real world problems.

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CC.2.2.HS Algebraic Concepts

CC.2.2.HS.D Algebra

CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of its context.

CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.

CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials.

CC.2.2.HS.D.5 Use polynomial identities to solve problems.

CC.2.2.HS.D.6 Extend the knowledge of rational functions to rewrite in equivalent forms.

CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.

CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable.

CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.

CC.2.2.HS.D.10 Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

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CC.2.2.HS.C Functions

CC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context.

CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations.

CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.

CC.2.2.HS.C.4 Interpret the effects transformations have on functions and find the inverses of functions.

CC.2.2.HS.C.5 Construct and compare linear, quadratic and exponential models to solve problems.

CC.2.2.HS.C.6 Interpret functions in terms of the situation they model.

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CC.2.2.HS Algebraic Concepts

CC.2.2.HS.D Algebra

CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of its context.

CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.

CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials.

CC.2.2.HS.D.4 Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs.

CC.2.2.HS.D.5 Use polynomial identities to solve problems.

CC.2.2.HS.D.6 Extend the knowledge of rational functions to rewrite in equivalent forms.

CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.

CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable.

CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.

CC.2.2.HS.D.10 Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

CC.2.2.HS.C Functions

CC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context.