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- Understand The Concept Of A Function And Use Function Notation
F.IF.1Understand that a function from one ...more
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 f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
F.IF.2Use function notation, evaluate func...more
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
F.IF.3Recognize that sequences are functio...more
Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
- Interpret Functions That Arise In Applications In Terms Of The Context
F.IF.4For a function that models a relatio...more
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. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★
F.IF.5Relate the domain of a function to i...more
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.★
F.IF.6Calculate and interpret the average ...more
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.★
- Analyze Functions Using Different Representations
F.IF.7Graph functions expressed symbolical...more
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★
F.IF.7.aGraph linear and quadratic functions...more
Graph linear and quadratic functions and show intercepts, maxima, and minima.
F.IF.7.bGraph square root, cube root, and pi...more
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
F.IF.7.cGraph polynomial functions, identify...more
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
F.IF.7.d(+) Graph rational functions, identi...more
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
F.IF.7.eGraph exponential and logarithmic fu...more
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
F.IF.8Write a function defined by an expre...more
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
F.IF.8.aUse the process of factoring and com...more
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.
F.IF.8.bUse the properties of exponents to i...more
Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.
F.IF.9Compare properties of two functions ...more
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
Major cluster will be a majority of the assessment, Supporting clusters will be assessed through their success at supporting the Major Clusters and Additional Clusters will be assessed as well. The assessments will strongly focus where the standards strongly focus.
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