MA.912.AR.5.5 Given an expression or equation representing an exponential function, reveal the constant percent rate of change per unit interval using the properties of exponents. Interpret the constant percent rate of change in terms of a real-world context.
MA.912.AR.5.9 Solve and graph mathematical and real-world problems that are modeled with logarithmic functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.6 Solve and graph polynomial equations and functions in one and two variables.
MA.912.AR.6.1 Given a mathematical or real-world context, when suitable factorization is possible, solve one-variable polynomial equations of degree 3 or higher over the real and complex number systems.
MA.912.AR.10.5 Given a mathematical or real-world context, write a sequence using function notation, defined explicitly or recursively, to represent relationships between quantities from a written description.
MA.912.F.2.2 Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y-values or multiplying the x- or y-values by a real number.
MA.912.F.3 Create new functions from existing functions.
MA.912.F.3.2 Given a mathematical or real-world context, combine two or more functions, limited to linear, quadratic, exponential and polynomial, using arithmetic operations. When appropriate, include domain restrictions for the new function.
MA.912.T.2 Extend trigonometric functions to the unit circle.
MA.912.T.2.1 Define the trigonometric functions for any angle using right triangles drawn in the unit circle. Determine the values of sine, cosine and tangent of π/3, π/4 and π/6 and their multiples using special triangles.
MA.912.T.3 Graph and apply trigonometric relations and functions.
MA.912.T.3.1 Describe and demonstrate the connections between right triangle ratios and trigonometric functions.
MA.912.T.3.2 On the coordinate plane, 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.
MA.912.T.3.3 Given a mathematical or real-world context, choose sine, cosine or tangent trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift and midline.
MA.912.DP.2 Solve problems involving univariate and bivariate numerical data.
MA.912.DP.2.1 For two or more sets of numerical univariate data, calculate and compare the appropriate measures of center and measures of variability, accounting for possible effects of outliers. Interpret any notable features of the shape of the data distribution.
MA.912.DP.2.2 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 technology, empirical rules or tables to estimate areas under the normal curve.
MA.912.DP.2.7 Fit a quadratic function to data that suggests a quadratic association and interpret any intercepts or the vertex of the model. Use the model to solve real-world problems in terms of the context of the data.
MA.912.DP.2.8 Fit an exponential function to data that suggests an exponential association. Use the model to solve real-world problems in terms of the context of the data.
MA.912.DP.5.12 Evaluate reports based on data from diverse media, print and digital resources by interpreting graphs and tables; evaluating data-based arguments; determining whether a valid sampling method was used; or interpreting provided statistics.