| (D) represent and solve systems of two linear equations
arising from mathematical and real-world situations using matrices;
and
(E) represent and solve systems of three linear equations
arising from mathematical and real-world situations using matrices
and technology.
(6) Number and algebraic methods. The student applies
mathematical processes to estimate and determine solutions to equations
resulting from functions and real-world applications with fluency.
The student is expected to:
(A) estimate a reasonable input value that results
in a given output value for a given function, including quadratic,
rational, and exponential functions;
(B) solve equations arising from questions asked about
functions that model real-world applications, including linear and
quadratic functions, tabularly, graphically, and symbolically; and
(C) approximate solutions to equations arising from
questions asked about exponential, logarithmic, square root, and cubic
functions that model real-world applications tabularly and graphically.
(7) Modeling from data. The student applies mathematical
processes to analyze and model data based on real-world situations
with corresponding functions. The student is expected to:
(A) represent domain and range of a function using
interval notation, inequalities, and set (builder) notation;
(B) compare and contrast between the mathematical and
reasonable domain and range of functions modeling real-world situations,
including linear, quadratic, exponential, and rational functions;
(C) determine the accuracy of a prediction from a function
that models a set of data compared to the actual data using comparisons
between average rates of change and finite differences such as gathering
data from an emptying tank and comparing the average rate of change
of the volume or the second differences in the volume to key attributes
of the given model;
(D) determine an appropriate function model, including
linear, quadratic, and exponential functions, for a set of data arising
from real-world situations using finite differences and average rates
of change; and
(E) determine if a given linear function is a reasonable
model for a set of data arising from a real-world situation.
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