• Creating Equations
A-CED Create equations that describe numbers or relationships.

MGSE9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
Include equations arising from linear, quadratic, simple rational, and exponential functions (integer
inputs only).

MGSE9-12.A.CED.2 Create linear, quadratic, and exponential equations in two or more variables to
represent relationships between quantities; graph equations on coordinate axes with labels and scales.
(The phrase “in two or more variables” refers to formulas like the compound interest formula, in which
A = P(1 + r/n)nt has multiple variables.)

MGSE9-12.A.CED.3 Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret data points as possible (i.e. a solution) or not possible (i.e. a nonsolution)
under the established constraints.

Reasoning with Equations & Inequalities
A-RE I Solve equations and inequalities in one variable

A-RE I Represent and solve equations and inequalities graphically.

MGSE9-12.A.REI.10 Understand that the graph of an equation in two variables is the set of all its
solutions plotted in the coordinate plane.

MGSE9-12.A.REI.11 Using graphs, tables, or successive approximations, show that the solution to the
equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.

MGSE9-12.A.REI.12 Graph the solution set to a linear inequality in two variables.

GA: HS: Functions
Interpreting Functions
F-IF Interpret functions that arise in applications in terms of the context.

MGSE9-12.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.

F-IF Analyze functions using different representations.

MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by
hand and by using technology.

MGSE9-12.F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima
(as determined by the function or by context).

Building Functions
F-BF Build a function that models a relationship between two quantities.

MGSE9-12.F.BF.1 Write a function that describes a relationship between two quantities.

MGSE9-12.F.BF.2 Write arithmetic and geometric sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect arithmetic sequences to linear functions and geometric sequences to exponential functions.
•  Key Vocabulary

Algebra • Arithmetic Sequence • Average Rate of Change • Coefficient • Constant Rate of Change • Continuous • Discrete Domain • End Behaviors • Equation • Explicit Formula • Expression • Expression. • Factor • Inequality • Interval Notation • Ordered Pair • Parameter • Range • Recursive Formula • Slope • Substitution • Term • Variable • Y-intercept