Pennsylvania Core Standards: Algebra I
Skills available for Pennsylvania Algebra 1 standards
Section
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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.
Evaluate expressions
Apply properties of exponents
CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.
Evaluate expressions
Apply properties of exponents
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real world or mathematical problems.
Equivalent forms of numbers
Square roots
Rational and irrational numbers
Integer exponents
Properties of operations
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real world or mathematical problems.
Equivalent forms of numbers
Square roots
Rational and irrational numbers
Integer exponents
Properties of operations
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.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.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.
Precision
Percent error
Limitations
CC.2.1.HS.F.5 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Precision
Percent error
Limitations
Checkpoint opportunity
Checkpoint opportunity
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.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.
Like terms and the distributive property
Factor quadratics
CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.
Like terms and the distributive property
Factor quadratics
CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials.
Add and subtract polynomials
Multiply polynomials
Divide polynomials
GCF and LCM
CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials.
Add and subtract polynomials
Multiply polynomials
Divide polynomials
GCF and LCM
CC.2.2.HS.D.5 Use polynomial identities to solve problems.
Factor quadratics
Factor polynomials
CC.2.2.HS.D.5 Use polynomial identities to solve problems.
Factor quadratics
Factor polynomials
CC.2.2.HS.D.6 Extend the knowledge of rational functions to rewrite in equivalent forms.
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.
Proportional relationships
Slope-intercept form
Standard form
Point-slope form
Horizontal and vertical lines
Parallel and perpendicular lines
Linear inequalities
CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
Proportional relationships
Slope-intercept form
Standard form
Point-slope form
Horizontal and vertical lines
Parallel and perpendicular lines
Linear inequalities
CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable.
Linear equations
Formulas
CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable.
Linear equations
Formulas
CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.
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.
Linear equation models
Linear equations
One-variable linear inequalities
Compound inequalities
Absolute value equations and inequalities
Solutions to systems of equations
Classify systems of equations
Solve systems of equations
Two-variable linear inequalities
Systems of linear inequalities
CC.2.2.HS.D.10 Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
Linear equation models
Linear equations
One-variable linear inequalities
Compound inequalities
Absolute value equations and inequalities
Solutions to systems of equations
Classify systems of equations
Solve systems of equations
Two-variable linear inequalities
Systems of linear inequalities
Checkpoint opportunity
Checkpoint opportunity
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.
Identify functions
Evaluate functions
Interpret functions
Domain and range
CC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context.
Identify functions
Evaluate functions
Interpret functions
Domain and range
CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations.
Identify linear functions
Graph linear functions
Characteristics of linear functions
Word problems
CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations.
Identify linear functions
Graph linear functions
Characteristics of linear functions
Word problems
CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.
Sequences
Linear functions
CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.
Sequences
Linear functions
CC.2.2.HS.C.4 Interpret the effects transformations have on functions and find the inverses of functions.
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.
Identify functions
Write functions
Compare growth
CC.2.2.HS.C.5 Construct and compare linear, quadratic and exponential models to solve problems.
Identify functions
Write functions
Compare growth
CC.2.2.HS.C.6 Interpret functions in terms of the situation they model.
CC.2.2.HS.C.6 Interpret functions in terms of the situation they model.
Checkpoint opportunity
Checkpoint opportunity
CC.2.4.HS
Measurement, Data, and Probability
CC.2.4.HS.B Statistics and Probability
CC.2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable.
CC.2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable.
CC.2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables.
Bar graphs, line graphs, and histograms
Circle graphs
Stem-and-leaf plots
Line plots
CC.2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables.
Bar graphs, line graphs, and histograms
Circle graphs
Stem-and-leaf plots
Line plots
CC.2.4.HS.B.3 Analyze linear models to make interpretations based on the data.
Scatter plots
Correlation coefficients
Regression lines
CC.2.4.HS.B.3 Analyze linear models to make interpretations based on the data.
Scatter plots
Correlation coefficients
Regression lines
CC.2.4.HS.B.4 Recognize and evaluate random processes underlying statistical experiments.
Experimental and theoretical probability
CC.2.4.HS.B.4 Recognize and evaluate random processes underlying statistical experiments.
Experimental and theoretical probability
CC.2.4.HS.B.5 Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.
CC.2.4.HS.B.5 Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.
CC.2.4.HS.B.7 Apply the rules of probability to compute probabilities of compound events in a uniform probability model.
Compound events
Permutations and combinations
CC.2.4.HS.B.7 Apply the rules of probability to compute probabilities of compound events in a uniform probability model.
Compound events
Permutations and combinations
Checkpoint opportunity
Checkpoint opportunity