NYSED Algebra I Draft: Specific modeling domains, clusters and standards are indicated by a star symbol ★.
New York State Next Generation Mathematics Learning Standards
Functions
Interpreting Functions (F.IF)
NYS Next Generation Learning Standard
that arise in
applications in terms
of the context.
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. Key
features include: intercepts; intervals where the function is
increasing, decreasing, positive, or negative; relative
maximums and minimums; symmetries; end behavior; and
periodicity.
PARCC: Tasks have a real-world context. Tasks are limited to linear
functions, quadratic functions, square root functions, cube root functions,
piece-wise defined functions (including step functions and absolute value
functions) and exponential functions with domains in the integers.
AI-F.IF.4 For a function that models a relationship between two
quantities:
i) interpret key features of graphs and tables in terms of the quantities;
and
ii) sketch graphs showing key features given a verbal description of
the relationship.
(Shared standard with Algebra II)
Notes:
• Algebra I key features include the following: intercepts,
zeros; intervals where the function is increasing, decreasing,
positive, or negative; maxima, minima; and symmetries.
• Tasks have a real-world context and are limited to the
following functions: linear, quadratic, square root, piece-wise
defined (including step and absolute value), and exponential
functions of the form f(x) = a(b)
x
where a > 0 and b > 0
F-IF.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 person-
hours it takes to assemble n engines in a factory, then the
positive integers would be an appropriate domain for the
AI-F.IF.5 Determine the domain of a function from its graph and,
where applicable, identify the appropriate domain for a function in
context.
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.
PARCC: Tasks have a real-world context. Tasks are limited to linear
functions, quadratic functions, square root functions, cube root functions,
piece-wise defined functions (including step functions and absolute value
functions) and exponential functions with domains in the integers.
AI-F.IF.6 Calculate and interpret the average rate of change of a
function over a specified interval.
(Shared standard with Algebra II)
Notes:
• Functions may be presented by function notation, a table of
values, or graphically.
• Algebra I tasks have a real-world context and are limited to
the following functions: linear, quadratic, square root, piece-
wise defined (including step and absolute value), and
exponential functions of the form f(x) = a(b)
x
where a > 0