#### A.2: The student will perform operations on polynomials, including

A.2.a: applying the laws of exponents to perform operations on expressions;

A.2.b: adding, subtracting, multiplying, and dividing polynomials; and

A.2.c: factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations.

#### A.4: Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. The student will solve multistep linear and quadratic equations in two variables, including

A.4.a: solving literal equations (formulas) for a given variable;

A.4.b: justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsets;

A.4.c: solving quadratic equations algebraically and graphically;

A.4.d: solving multistep linear equations algebraically and graphically;

A.4.e: solving systems of two linear equations in two variables algebraically and graphically; and

A.4.f: solving real-world problems involving equations and systems of equations.

#### A.5: The student will solve multistep linear inequalities in two variables, including

A.5.a: solving multistep linear inequalities algebraically and graphically;

A.5.c: solving real-world problems involving inequalities; and

A.5.d: solving systems of inequalities.

#### A.6: The student will graph linear equations and linear inequalities in two variables, including

A.6.a: determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined; and

A.6.b: writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line.

#### A.7: The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including

A.7.a: determining whether a relation is a function;

A.7.b: domain and range;

A.7.c: zeros of a function;

A.7.d: x- and y-intercepts;

A.7.f: making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.

#### A.11: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions.

Correlation last revised: 9/16/2020

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