Virginia
Skills available for Virginia 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.
Show alignments for:
- Virginia Curriculum Framework: Algebra I Virginia Curriculum Framework: Algebra I
- Virginia Curriculum Framework: Algebra II Virginia Curriculum Framework: Algebra II
- Virginia Curriculum Framework: Algebra, Functions and Data Analysis Virginia Curriculum Framework: Algebra, Functions and Data Analysis
- Virginia Curriculum Framework: Geometry Virginia Curriculum Framework: Geometry
- Virginia Curriculum Framework: Mathematical Analysis Virginia Curriculum Framework: Mathematical Analysis
- Virginia Curriculum Framework: Probability and Statistics Virginia Curriculum Framework: Probability and Statistics
- Virginia Curriculum Framework: Trigonometry Virginia Curriculum Framework: Trigonometry
- Virginia Standards of Learning (2016): Algebra I Virginia Standards of Learning (2016): Algebra I
- Virginia Standards of Learning (2016): Algebra II Virginia Standards of Learning (2016): Algebra II
- Virginia Standards of Learning (2016): Algebra, Functions and Data Analysis Virginia Standards of Learning (2016): Algebra, Functions and Data Analysis
- Virginia Standards of Learning (2016): Geometry Virginia Standards of Learning (2016): Geometry
- Virginia Standards of Learning (2016): Mathematical Analysis Virginia Standards of Learning (2016): Mathematical Analysis
- Virginia Standards of Learning (2016): Probability and Statistics Virginia Standards of Learning (2016): Probability and Statistics
- Virginia Standards of Learning (2016): Trigonometry Virginia Standards of Learning (2016): Trigonometry
- Virginia College and Career Ready Performance Expectations Virginia College and Career Ready Performance Expectations
Actions
F Functions
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F.MA.1 The student will investigate and identify the properties of polynomial, rational, piecewise, and step functions and sketch the graphs of the functions.
- Write a quadratic function from its zeros (A2-K.16)
- Find the maximum or minimum value of a quadratic function (PC-C.1)
- Characteristics of quadratic functions (PC-C.2)
- Graph a quadratic function (PC-C.3)
- Match quadratic functions and graphs (PC-C.4)
- Find the roots of factored polynomials (PC-D.4)
- Write a polynomial from its roots (PC-D.5)
- Rational root theorem (PC-D.6)
- Complex conjugate theorem (PC-D.7)
- Conjugate root theorems (PC-D.8)
- Descartes' Rule of Signs (PC-D.9)
- Match polynomials and graphs (PC-D.11)
- Domain and range of polynomials (PC-D.12)
- Rational functions: asymptotes and excluded values (PC-E.1)
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F.MA.2 The student will investigate and identify the characteristics of exponential and logarithmic functions to graph the function, solve equations, and solve practical problems.
- Convert between exponential and logarithmic form: rational bases (A2-S.1)
- Convert between natural exponential and logarithmic form (A2-S.2)
- Convert between exponential and logarithmic form: all bases (A2-S.3)
- Match exponential functions and graphs (A2-T.4)
- Solve exponential equations by rewriting the base (A2-T.5)
- Solve exponential equations using common logarithms (A2-T.6)
- Solve exponential equations using natural logarithms (A2-T.7)
- Continuously compounded interest: word problems (A2-T.15)
- Domain and range of exponential and logarithmic functions (PC-F.1)
- Graph logarithmic functions (PC-F.)
- Solve logarithmic equations with one logarithm (PC-F.11)
- Solve logarithmic equations with multiple logarithms (PC-F.12)
- Exponential functions over unit intervals (PC-F.13)
- Exponential growth and decay: word problems (PC-F.16)
- Compound interest: word problems (PC-F.17)
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F.MA.3 The student will apply compositions of functions and inverses of functions to practical situations and investigate and verify the domain and range of resulting functions.
- Composition of linear functions: find a value (A2-P.4)
- Composition of linear and quadratic functions: find a value (A2-P.6)
- Composition of linear and quadratic functions: find an equation (A2-P.7)
- Composition of functions (PC-A.11)
- Identify inverse functions (PC-A.12)
- Find values of inverse functions from tables (PC-A.13)
- Find values of inverse functions from graphs (PC-A.14)
- Find inverse functions and relations (PC-A.15)
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F.MA.4 The student will determine the limit of an algebraic function, if it exists, as the variable approaches either a finite number or infinity.
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F.MA.5 The student will investigate and describe the continuity of functions.
AG Analytic Geometry
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AG.MA.6 The student will investigate, graph, and identify the properties of conic sections from equations in vertex and standard form.
- Convert equations of parabolas from general to vertex form (A2-U.7)
- Convert equations of circles from general to standard form (A2-V.5)
- Find properties of circles from equations in general form (A2-V.6)
- Convert equations of ellipses from general to standard form (A2-W.6)
- Find properties of ellipses from equations in general form (A2-W.7)
- Convert equations of hyperbolas from general to standard form (A2-X.8)
- Find properties of hyperbolas from equations in general form (A2-X.9)
- Find properties of parabolas (PC-P.1)
- Write equations of parabolas in vertex form (PC-P.2)
- Graph parabolas (PC-P.3)
- Find properties of circles (PC-P.4)
- Write equations of circles in standard form (PC-P.5)
- Graph circles (PC-P.6)
- Find properties of ellipses (PC-P.7)
- Find the eccentricity of an ellipse (PC-P.8)
- Write equations of ellipses in standard form (PC-P.9)
- Find properties of hyperbolas (PC-P.10)
- Find the eccentricity of a hyperbola (PC-P.11)
- Write equations of hyperbolas in standard form (PC-P.12)
- Convert equations of conic sections from general to standard form (PC-P.13)
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AG.MA.7 The student will perform operations with vectors in the coordinate plane and solve practical problems using vectors.
- Find the magnitude of a vector (PC-U.1)
- Find the component form of a vector (PC-U.2)
- Find the direction angle of a vector (PC-U.3)
- Find the component form of a vector from its magnitude and direction angle (PC-U.4)
- Graph a resultant vector using the triangle method (PC-U.5)
- Graph a resultant vector using the parallelogram method (PC-U.6)
- Add vectors (PC-U.7)
- Find the magnitude and direction of a vector sum (PC-U.9)
- Multiply a vector by a scalar (PC-U.10)
- Find the magnitude of a vector scalar multiple (PC-U.11)
- Determine the direction of a vector scalar multiple (PC-U.12)
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AG.MA.8 The student will identify, create, and solve practical problems involving triangles.
E Equations
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E.MA.9 The student will investigate and identify the characteristics of the graphs of polar equations.
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E.MA.10 The student will use parametric equations to model and solve practical problems.
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E.MA.11 The student will use matrices to organize data and will add and subtract matrices, multiply matrices, multiply matrices by a scalar, and use matrices to solve systems of equations.
- Solve a system of equations using augmented matrices (PC-I.8)
- Solve a system of equations using augmented matrices: word problems (PC-I.9)
- Matrix operation rules (PC-L.2)
- Add and subtract matrices (PC-L.3)
- Multiply a matrix by a scalar (PC-L.4)
- Add and subtract scalar multiples of matrices (PC-L.5)
- Multiply two matrices (PC-L.6)
- Properties of matrices (PC-L.8)
- Is a matrix invertible? (PC-L.11)
- Inverse of a 2 x 2 matrix (PC-L.12)
- Inverse of a 3 x 3 matrix (PC-L.13)
- Identify inverse matrices (PC-L.14)
DM Discrete Mathematics
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DM.MA.12 The student will expand binomials having positive integral exponents.
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DM.MA.13 The student will determine the sum of finite and infinite convergent series.
- Write a formula for an arithmetic sequence (A2-CC.6)
- Write a formula for a geometric sequence (A2-CC.7)
- Find terms of a sequence (PC-W.1)
- Find terms of a recursive sequence (PC-W.2)
- Identify a sequence as explicit or recursive (PC-W.3)
- Find a recursive formula (PC-W.4)
- Find recursive and explicit formulas (PC-W.5)
- Introduction to sigma notation (PC-W.10)
- Find the sum of an arithmetic series (PC-W.11)
- Find the sum of a finite geometric series (PC-W.12)
- Convergent and divergent geometric series (PC-W.17)
- Find the value of an infinite geometric series (PC-W.18)
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DM.MA.14 The student will use mathematical induction to prove formulas and mathematical statements.