
Creating EquationsACED Create equations that describe numbers or relationships.MGSE912.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).MGSE912.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.)MGSE912.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.MGSE912.A.CED.4 Rearrange formulas to highlight a quantity of interest using the same reasoning asShow details
in solving equations.Reasoning with Equations & InequalitiesARE I Solve equations and inequalities in one variableMGSE912.A.REI.3 Solve linear equations and inequalities in one variable including equations withShow details
coefficients represented by letters.ARE I Represent and solve equations and inequalities graphically.MGSE912.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.MGSE912.A.REI.11 Using graphs, tables, or successive approximations, show that the solution to the
equation f(x) = g(x) is the xvalue where the yvalues of f(x) and g(x) are the same.MGSE912.A.REI.12 Graph the solution set to a linear inequality in two variables.GA: HS: FunctionsInterpreting FunctionsFIF Interpret functions that arise in applications in terms of the context.MGSE912.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.FIF Analyze functions using different representations.MGSE912.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by
hand and by using technology.MGSE912.F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima
(as determined by the function or by context).MGSE912.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).Show detailsBuilding FunctionsFBF Build a function that models a relationship between two quantities.MGSE912.F.BF.1 Write a function that describes a relationship between two quantities.MGSE912.F.BF.1a Determine an explicit expression and the recursive process (steps for calculation)Show details
from context.MGSE912.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 • Yintercept