Common Planner
K–12 Standards

High School -- Precalculus

Other Arizona Mathematics sets

Reasoning with Functions and Relations (RFR)

  • A

    Analyze Functions (Standards within this strand encompass P.F-IF)RFR.AF

    1. 1

      Interpret parameters of a function defined by an expression in the context of the situation.RFR.AF.1

    2. 2

      Sketch the graph of a function that models a relationship between two quantities, identifying key features.RFR.AF.2

    3. 3

      Interpret key features of graphs and tables for a function that models a relationship between two quantities in terms of the quantities.RFR.AF.3

    4. 4

      Use limits to describe long-range behavior, asymptotic behavior, and points of discontinuity.RFR.AF.4

    5. 5

      Sketch the graph of all six trigonometric functions, identifying key features.RFR.AF.5

  • B

    Building Functions (Standards within this strand encompass P.F-BF, P.F-TF)RFR.BF

    1. 1

      Model relationships between quantities that require adding, subtracting, multiplying, and/or dividing functionsRFR.BF.1

    2. 2

      Model relationships through composition and attend to the restrictions of the domain.RFR.BF.2

    3. 3

      Rewrite a function as a composition of functions.RFR.BF.3

    4. 4

      Determine if a function has an inverse. If so, find the inverse. If not, define a restriction on the domain that meets the requirement for invertibility and find the inverse on the restricted domain.RFR.BF.4

    5. 5

      Interpret the meanings of quantities involving functions and their inverses.RFR.BF.5

    6. 6

      Verify by analytical methods that one function is the inverse of another.RFR.BF.6

  • C

    Interpreting Conics (Standards within this strand encompass P.G-GPE)RFR.IC

    1. 1

      Model real-world situations which involve conic sections.RFR.IC.1

    2. 2

      Identify key features of conic sections (foci, directrix, radii, axes, asymptotes, center) graphically and algebraically.RFR.IC.2

    3. 3

      Sketch a graph of a conic section using its key features.RFR.IC.3

    4. 4

      Use the key features of a conic section to write its equation.RFR.IC.4

    5. 5

      Given a quadratic equation of the form ax2+ by2 + cx + dy + e = 0, determine if the equation is a circle, ellipse, parabola, or hyperbola.RFR.IC.5

  • D

    Interpreting Sequences and Series (Standards within this strand encompass P.F-BF.A.2, P.A-SSE.B.4))RFR.ISS

    1. 1

      Model real-world situations involving sequences or series using recursive and/or explicit definitions.RFR.ISS.1

    2. 2

      Use covariational reasoning to describe sequences and series.RFR.ISS.2

    3. 3

      Represent finite or infinite series using sigma notation.RFR.ISS.3

    4. 4

      Find the sums of finite or infinite series, if they exist.RFR.ISS.4

Reasoning with Trigonometry

  • A

    Extended Triangle Trigonometry (Standards within this strand encompass P.G-SRT, P.F-TF.B)RT.ETT

    1. 1

      Model real-world situations involving trigonometry.RFR.ETT.1

    2. 2

      Apply the Law of Sines and Law of Cosines to solve problems.RFR.ETT.2

    3. 3

      Use trigonometry to find the area of triangles.RFR.ETT.3

    4. 4

      Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π-x, π+x, and 2π-x in terms of their values for x, where x is any real number.RFR.ETT.4

    5. 5

      Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.RFR.ETT.5

    6. 6

      Use inverse functions to solve trigonometric equations utilizing real world context; evaluate the solution and interpret them in terms of context.RFR.ETT.6

  • B

    Reasoning with Trigonometric Structure (Standards within this strand encompass P.F-TF.C) RT.RTS

    1. 1

      Use the structure of a trigonometric expression to identify ways to rewrite it.RT.RTS.1

    2. 2

      Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.RT.RTS.2

    3. 3

      Solve trigonometric equations.RT.RTS.3

  • C

    Exploring Polar EquationsRT.EPE

    1. 1

      Graph polar equations.RT.EPE.1

    2. 2

      Analyze and interpret the graphs of polar equations.RT.EPE.2

    3. 3

      Use polar equations to solve problems.RT.EPE.3

Reasoning with Vectors

  • A

    Modeling with ParametricsRV.MP

    1. 1

      Model real-world contexts with parametric equations.RV.MP.1

    2. 2

      Use parametric equations to solve problems.RV.MP.2

    3. 3

      Graph parametric equations and identify orientation.RV.MP.3

    4. 4

      Analyze and interpret the graphs of parametric equations.RV.MP.4

  • B

    Exploring VectorsRV.EV

    1. 1

      Recognize vector quantities as having both magnitude and direction.RV.EV.1

    2. 2

      Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.RV.EV.2

    3. 3

      Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.RV.EV.3

    4. 4

      Solve problems involving velocity and other quantities that can be represented by vectors.RV.EV.4

    5. 5

      Add and subtract vectors, and multiply a vector by a scalar.RV.EV.5

Reasoning with Matrices

  • A

    Using Matrices (Standards within this strand encompass P.N-VM.C)RM.UM

    1. 1

      Use matrices to represent and manipulate data.RM.UM.1

    2. 2

      Use matrix operations to solve problems. Add, subtract, and multiply matrices of appropriate dimensions. Multiply matrices by scalars to produce new matrices.RM.UM.2

    3. 3

      Find the inverse and determinant of a matrix.RM.UM.3

    4. 4

      Use matrices to solve systems of linear equations.RM.UM.4

Frequently asked questions

What grade levels do these standards cover?
Grade 12 and Grade 11
Where can I read the official document?
Arizona Precalculus Standards

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