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
- Virginia Standards of Learning (2023): Algebra 1 Virginia Standards of Learning (2023): Algebra 1
- Virginia Standards of Learning (2023): Algebra 2 Virginia Standards of Learning (2023): Algebra 2
- Virginia Standards of Learning (2023): Algebra, Functions and Data Analysis Virginia Standards of Learning (2023): Algebra, Functions and Data Analysis
- Virginia Standards of Learning (2023): Discrete Mathematics Virginia Standards of Learning (2023): Discrete Mathematics
- Virginia Standards of Learning (2023): Geometry Virginia Standards of Learning (2023): Geometry
- Virginia Standards of Learning (2023): Mathematical Analysis Virginia Standards of Learning (2023): Mathematical Analysis
- Virginia Standards of Learning (2023): Probability and Statistics Virginia Standards of Learning (2023): Probability and Statistics
- Virginia Standards of Learning (2023): Trigonometry Virginia Standards of Learning (2023): Trigonometry
Actions
TCTF Triangular and Circular Trigonometric Functions
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TCTF.T.1 The student, given a point on the terminal side of an angle in standard position, or the value of the trigonometric function of the angle, will determine the sine, cosine, tangent, cotangent, secant, and cosecant of the angle.
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TCTF.T.2 The student will develop and apply the properties of the unit circle in degrees and radians.
GTF Graphs of Trigonometric Functions
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GTF.T.3 The student, given one of the six trigonometric functions in standard form, will:
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GTF.T.3.a state the domain and the range of the function;
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GTF.T.3.b determine the amplitude, period, phase shift, vertical shift, and asymptotes;
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GTF.T.3.c sketch the graph of the function by using transformations for at least a two-period interval; and
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GTF.T.3.d investigate the effect of changing the parameters in a trigonometric function on the graph of the function.
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GTF.T.4 The student will graph the six inverse trigonometric functions.
EI Equations and Identities
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EI.T.5 The student will verify basic trigonometric identities and make substitutions, using the basic identities.
- Complementary angle identities (A2-LL.1)
- Find trigonometric ratios using a Pythagorean or reciprocal identity (A2-LL.3)
- Find trigonometric ratios using multiple identities (A2-LL.4)
- Trigonometric sum and difference identities (A2-LL.5)
- Solve trigonometric equations using sum and difference identities (A2-LL.6)
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EI.T.6 The student will solve trigonometric equations and inequalities.
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EI.T.7 The student will determine the value of any trigonometric function and inverse trigonometric function.
- Trigonometric ratios: sin, cos, and tan (A2-II.3)
- Trigonometric ratios: csc, sec, and cot (A2-II.4)
- Trigonometric ratios in similar right triangles (A2-II.5)
- Find trigonometric ratios using the unit circle (A2-II.6)
- Sin, cos, and tan of special angles (A2-II.7)
- Csc, sec, and cot of special angles (A2-II.8)
- Find trigonometric ratios using reference angles (A2-II.9)
- Find trigonometric functions using a calculator (A2-II.10)
- Inverses of sin, cos, and tan: degrees (A2-II.11)
- Inverses of sin, cos, and tan: radians (A2-II.12)
- Inverses of csc, sec, and cot (A2-II.13)
- Sin, cos, and tan of special angles: degrees (A2)
ATF Applications of Trigonometric Functions
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ATF.T.8 The student will create and solve practical problems involving triangles.
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ATF.T.9 The student will solve problems, including practical problems, involving:
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ATF.T.9.a arc length and area of sectors in circles using radians and degrees; and
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ATF.T.9.b linear and angular velocity.
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