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Assessment Guide for Educators: Mathematical Reasoning Appendix A
Mathematical Reasoning: Content Specifications
2002 Current Test
Analyze and represent situations involving variable quantities with
tables, graphs, verbal descriptions, and equations.
A.2.b Solve real-world problems involving linear equations.
A.5.d Graph two-variable linear equations.
A.5.e For a function that models a linear or nonlinear relationship
between two quantities, interpret key features of graphs and
tables in terms of quantities, and sketch graphs showing key
features of graphs and tables in terms of 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.
A.7 .a Compare two different proportional relationships represented in
different ways. Examples include but are not limited to: compare
a distance-time graph to a distance- time equation to determine
which of two moving objects has a greater speed.
A.7 .d Compare properties of two linear or quadratic functions each
represented in a different way (algebraically, numerically in
tables, graphically or by verbal descriptions). Examples include
but are not limited to: given a linear function represented by a
table of values and a linear function represented by an algebraic
expression, determine which function has the greater rate of
change.
Recognize that a variety of problem situations may be modeled by the
same function or type of function
(e.g., y = mx + b, y = ax2, y = ax, y = 1/x).
A.2.c Write one-variable and multi-variable linear equations to
represent context.
A.4.b Write one-variable quadratic equations to represent context.
Convert between different representations, such as tables, graphs,
verbal descriptions, and equations.
A.2.c Write one-variable and multi-variable linear equations to
represent context.
A.4.b Write one-variable quadratic equations to represent context.
A.5.d Graph two-variable linear equations.