High School Math (Pennsylvania PA Core)

2.1 Numbers and Operations

• CC.2.1.HS.F.1 Use properties of exponents with rational exponents to solve problems.
• CC.2.1.HS.F.2 Use properties of rational and irrational numbers in real and math problems.
• CC.2.1.HS.F.3 Reason quantitatively to choose and interpret units and scales, including in data displays.
• CC.2.1.HS.F.4 Use units to understand problems and to guide multi-step solutions.
• CC.2.1.HS.F.5 Choose a level of accuracy that fits the limits of measurement.
• CC.2.1.HS.F.6 Extend the four operations to complex numbers.
• CC.2.1.HS.F.7 Use complex numbers in polynomial identities and quadratic equations.

2.2 Algebraic Concepts

• CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in context. (being checked)
• CC.2.2.HS.D.2 Rewrite expressions in equivalent forms to help solve problems.
• CC.2.2.HS.D.3 Extend operations to polynomial expressions.
• CC.2.2.HS.D.4 Understand how zeros and factors of polynomials are related.
• CC.2.2.HS.D.5 Use polynomial identities to solve problems.
• CC.2.2.HS.D.6 Rewrite rational expressions and functions in equivalent forms.
• CC.2.2.HS.D.7 Create and graph equations or inequalities that describe relationships.
• CC.2.2.HS.D.8 Analyze and solve linear equations and systems of linear equations.
• CC.2.2.HS.D.9 Use reasoning to solve equations and justify the method.
• CC.2.2.HS.D.10 Represent, solve and interpret equations, inequalities and systems algebraically and graphically.
• CC.2.2.HS.C.1 Use function notation to interpret and use functions in context.
• CC.2.2.HS.C.2 Graph and analyze functions and link their different representations.
• CC.2.2.HS.C.3 Write functions or sequences that model relationships between quantities.
• CC.2.2.HS.C.4 Explain the effect of transformations on functions and find inverses.
• CC.2.2.HS.C.5 Build and compare linear, quadratic and exponential models.
• CC.2.2.HS.C.6 Interpret what a function means in the situation it models.
• CC.2.2.HS.C.7 Use radian measure and the unit circle to analyze trigonometric functions.
• CC.2.2.HS.C.8 Choose trigonometric functions to model periodic situations.
• CC.2.2.HS.C.9 Prove the Pythagorean identity and use it to find trigonometric ratios.

2.3 Geometry

• CC.2.3.HS.A.1 Use shapes and their properties to describe transformations in the plane.
• CC.2.3.HS.A.2 Use rigid transformations to decide and explain congruence.
• CC.2.3.HS.A.3 Check and apply geometric theorems to figures.
• CC.2.3.HS.A.4 Use congruence to justify geometric constructions.
• CC.2.3.HS.A.5 Use transformations to justify similarity of plane figures.
• CC.2.3.HS.A.6 Check and apply theorems about similarity.
• CC.2.3.HS.A.7 Solve right-triangle problems with trigonometric ratios.
• CC.2.3.HS.A.8 Use theorems to establish properties of circles.
• CC.2.3.HS.A.9 Use similarity to find arc lengths and sector areas.
• CC.2.3.HS.A.10 Link geometric descriptions of conic sections to their equations.
• CC.2.3.HS.A.11 Prove simple theorems algebraically with coordinates.
• CC.2.3.HS.A.12 Explain volume formulas and apply them to problems.
• CC.2.3.HS.A.13 Analyze how 2D and 3D objects relate.
• CC.2.3.HS.A.14 Apply geometry to model and solve real-world problems.

2.4 Measurement, Data, and Probability

• CC.2.4.HS.B.1 Summarize, show and interpret data on one count or measurement variable.
• CC.2.4.HS.B.2 Summarize, show and interpret data for two variables, categorical or quantitative.
• CC.2.4.HS.B.3 Analyze linear models to make interpretations from data.
• CC.2.4.HS.B.4 Recognize and judge random processes behind statistical experiments.
• CC.2.4.HS.B.5 Make inferences and justify conclusions from surveys, experiments and observational studies.
• CC.2.4.HS.B.6 Use independence and conditional probability to interpret data.
• CC.2.4.HS.B.7 Use probability rules for compound events in a uniform probability model.