MAT-12 Standards
Completion requirements
ALL
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MAT-12.AR.F.05
MAT-12.AR.F.05 Find inverse functions.
Progressions
Functional Relationships
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MAT-12.AR.F.06
MAT-12.AR.F.06 Apply the inverse relationship between exponents and logarithms to solve problems.Progressions
Exponents
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MAT-12.AR.F.07
MAT-12.AR.F.07 Compare key features of two functions each represented in a different way(algebraically, graphically, numerically, in tables, or by verbal descriptions).Progressions
Functional Relationships
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MAT-12.AR.F.08
MAT-12.AR.F.08 Use tables, graphs, verbal descriptions, and equations to interpret and sketch the key features of a function modeling the relationship between two quantities.Progressions
Functional Relationships
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MAT-12.AR.F.09
MAT-12.AR.F.09 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.Progressions
Functional Relationships
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MAT-12.AR.F.10
MAT-12.AR.F.10 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Progressions
Graphing Functions
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MAT-12.AR.F.11
MAT-12.AR.F.11 Analyze and graph functions expressed symbolically (by hand in simple cases and using technology for more complicated cases), identifying key features of the graph.
Progressions
Functional Relationships
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MAT-12.AR.F.12
MAT-12.AR.F.12 Compare the end behavior of linear, quadratic, and exponential functions using graphs and/or tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing as a linear or quadratic function.Progressions
Functional Relationships
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MAT-12.AR.F.13
MAT-12.AR.F.13 Determine whether a linear,quadratic, polynomial, exponential, logarithmic, or trigonometric model fits a situation. Determine an appropriate mathematical model in context (with or without technology).Progressions
Functional Relationships
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MAT-12.AR.F.14
MAT-12.AR.F.14 Write arithmetic and geometric sequences both recursively and with an explicit formula and convert between the two forms. Use sequences to model situations.Progressions
Linear Equations
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MAT-12.AR.F.15
MAT-12.AR.F.15 Use properties of logarithms to express the solution to abᶜᵗ = d where a, c, and dare real numbers and b is a positive real number.Evaluate the logarithm using technology when appropriate.Progressions
Exponents
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MAT-12.AR.F.16
MAT-12.AR.F.16 Extend right triangle trigonometry and apply knowledge of the unit circle to determine values of sine, cosine, and tangent for multiples of π/3, π/4, and π/6.Progressions
Functional Relationships
Angles/Triangles
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MAT-12.AR.F.17
MAT-12.AR.F.17 Use the Pythagorean Identity sin² (θ) + cos² (θ) = 1 to find sin (θ), cos (θ), or tan(θ) given sin (θ), cos (θ), or tan (θ) and the quadrant of the angle.Progressions
Functional Relationships
Angles/Triangles
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MAT-12.AR.F.18
MAT-12.AR.F.18 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.Progressions
Functional Relationships
Coordinate Plane
Circle Measurements
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MAT-12.AR.F.19
MAT-12.AR.F.19 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.Progressions
Functional Relationships
Coordinate Plane
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MAT-12.AR.F.20
MAT-12.AR.F.20 Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.Progressions
Functional Relationships
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MAT-12.AR.F.21
MAT-12.AR.F.21 Create a trigonometric function to model periodic phenomena.Progressions
Functional Relationships
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MAT-12.AR.F.22
MAT-12.AR.F.22 Restrict the domain of a trigonometric function to construct its inverse.Progressions
Functional Relationships
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MAT-12.AR.F.23
MAT-12.AR.F.23 Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions and interpret them in context.Progressions
Linear Equations
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MAT-12.AR.F.24
MAT-12.AR.F.24 Know and apply the addition and subtraction formulas for sine, cosine, and tangent to solve problems.Progressions
Functional Relationships
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MAT-12.DPS
Sub-Categories
Calculation Method for DomainsDomains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain. | ||
MAT-12.DPS.01
MAT-12.DPS.01 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).Progressions
Data Analysis
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MAT-12.DPS.02
MAT-12.DPS.02 Use the mean and standard deviation of a data set to fit it to a normal distribution and estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate.Progressions
Data Analysis
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