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View all PreK12 NYS Learning Standards in a dropdown list format.










Standard Area  TECH: Learning Standards for Technology
(see MST standards under Previous Standard Versions) 


















Emphasis: M (AI)Standard  FIF.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 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). 
Emphasis: M (AI)Standard  FIF.2:
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. 
Emphasis: M (AI)S (AII)Standard  FIF.3:
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(n1) for n â‰¥ 1.



Emphasis: M (AI)M (AII)Standard  FIF.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. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.â˜… 
Emphasis: M (AI)Standard  FIF.5:
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 personhours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.â˜… 
Emphasis: M (AI)M (AII)Standard  FIF.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.




Emphasis: S (AI)Component  FIF.7.a:
Graph linear and quadratic functions and show intercepts, maxima, and minima. 
Emphasis: S (AI)Component  FIF.7.b:
Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions. 
Component  FIF.7.c:
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. 
Component  FIF.7.d:
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. 
Component  FIF.7.e:
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.



Emphasis: S (AI)Component  FIF.8.a:
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. 
Component  FIF.8.b:
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


Emphasis: S (AI)S (AII)Standard  FIF.9:
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.




