Common Core Georgia Performance Standards
MCC9-12.F.IF.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If ?? is a function and ?? is an element of its domain, then ??(??) denotes the output of ?? corresponding to the input ??. The graph of ?? is the graph of the equation ?? = ??(??).
MCC9-12.F.IF.2: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
MCC9-12.F.IF.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
MCC9-12.F.IF.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
MCC9-12.F.IF.6: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
MCC9-12.F.IF.7a: Graph linear and quadratic functions and show intercepts, maxima, and minima.
MCC9-12.F.IF.7b: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
MCC9-12.F.IF.7c: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
MCC9-12.F.IF.7d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
MCC9-12.F.IF.7e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
MCC9-12.F.IF.8a: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
MCC9-12.F.BF.1a: Determine an explicit expression, a recursive process, or steps for calculation from a context.
MCC9-12.F.BF.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
MCC9-12.F.BF.3: Identify the effect on the graph of replacing ??(??) by ??(??) + ??, ?? ??(??), ??(????), and ??(?? + ??) for specific values of ?? (both positive and negative); find the value of ?? given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
MCC9-12.F.BF.4b: Verify by composition that one function is the inverse of another.
MCC9-12.F.BF.4c: Read values of an inverse function from a graph or a table, given that the function has an inverse.
MCC9-12.F.BF.5: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
MCC9-12.F.LE.1a: Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
MCC9-12.F.LE.1b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
MCC9-12.F.LE.1c: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
MCC9-12.F.LE.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
MCC9-12.F.LE.4: For exponential models, express as a logarithm the solution to ???? to the ???? power = ?? where ??, ??, and ?? are numbers and the base ?? is 2, 10, or ??; evaluate the logarithm using technology.
MCC9-12.F.LE.5: Interpret the parameters in a linear or exponential function in terms of a context.
MCC9-12.F.TF.5: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
MCC9-12.F.TF.9: Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
Correlation last revised: 3/7/2018