Mathematics Standards
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Add a Domain
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Building Functions
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Circles
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Expressing Geometric Properties with Equations
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Geometric Measurement and Dimension
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Interpreting Categorical and Quantitative Data
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Interpreting Functions
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Number and Operations—Fractions
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
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The Complex Number System
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Using Probability to Make Decisions
Results
Showing 1 - 10 of 12 Standards
Standard Identifier: A-REI.11
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. *
Standard Identifier: A-REI.2
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Standard Identifier: G-GMD.4
Grade Range:
9–12
Domain:
Geometric Measurement and Dimension
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Standard Identifier: G-GPE.3.1
Grade Range:
9–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Standard Identifier: G-SRT.10
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Apply trigonometry to general triangles.
Standard:
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
Standard Identifier: G-SRT.11
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Apply trigonometry to general triangles.
Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
Standard Identifier: G-SRT.9
Grade Range:
9–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Standard Identifier: N-CN.8
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Math III
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
Standard Identifier: N-CN.9
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Math III
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: S-ID.4
Grade Range:
9–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Showing 1 - 10 of 12 Standards
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