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STANDARDS

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Math

Oklahoma Math

Algebra 2 (A2): Algebraic Reasoning & Algebra (A)

A2.A.1

Represent and solve mathematical and real-world problems using nonlinear equations, systems of linear equations, and systems of linear inequalities; interpret the solutions in the original context.

A2.A.1.1

Use mathematical models to represent quadratic relationships and solve using factoring, completing the square, the quadratic formula, and various methods (including graphing calculator or other appropriate technology). Find non-real roots when they exist.

A2.A.1.2

Use mathematical models to represent exponential relationships, such as compound interest, depreciation, and population growth. Solve these equations algebraically or graphically (including graphing calculator or other appropriate technology).

A2.A.1.3

Solve one-variable rational equations and check for extraneous solutions.

A2.A.1.4

Solve polynomial equations with real roots using various methods (e.g., polynomial division, synthetic division, using graphing calculators or other appropriate technology).
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A2.A.1.5

Solve square and cube root equations with one variable, and check for extraneous solutions.

A2.A.1.6

Solve common and natural logarithmic equations using the properties of logarithms.

A2.A.1.7

Represent and evaluate mathematical models using systems of linear equations with a maximum of three variables. Graphing calculators or other appropriate technology may be used.

A2.A.1.8

Use tools to solve systems of equations containing one linear equation and one quadratic equation. Graphing calculators or other appropriate technology may be used.

A2.A.1.9

Solve systems of linear inequalities in two variables, with a maximum of three inequalities; graph and interpret the solutions on a coordinate plane. Graphing calculators or other appropriate technology may be used.

A2.A.2

Generate and evaluate equivalent algebraic expressions and equations using various strategies.

A2.A.2.1

Factor polynomial expressions including, but not limited to, trinomials, differences of squares, sum and difference of cubes, and factoring by grouping, using a variety of tools and strategies.

A2.A.2.2

Add, subtract, multiply, divide, and simplify polynomial expressions.

A2.A.2.3

Add, subtract, multiply, divide, and simplify rational expressions.

A2.A.2.4

Recognize that a quadratic function has different equivalent representations [𝑓(𝑥) = 𝑎𝑥^2 + 𝑏𝑥 + 𝑐, 𝑓(𝑥) = 𝑎(𝑥 − ℎ)^2 + 𝑘, 𝑎𝑛𝑑 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞)]. Identify and use the mathematical model that is most appropriate to solve problems.

A2.A.2.5

Rewrite algebraic expressions involving radicals and rational exponents using the properties of exponents.

A2.A.3

Represent and solve mathematical and real-world problems involving arithmetic and geometric sequences and series.

A2.A.3.1

Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Using the pattern, find the next term.

A2.A.3.2

Recognize that geometric sequences are exponential using equations, tables, graphs, and verbal descriptions. Given the formula 𝑓(𝑥) = 𝑎(𝑟)^x, find the next term and define the meaning of 𝑎 and 𝑟 within the context of the problem.

A2.A.3.3

Solve problems that can be modeled using arithmetic sequences or series given the 𝑛th terms and sum formulas. Graphing calculators or other appropriate technology may be used.

A2.A.3.4

Solve problems that can be modeled using finite geometric sequences and series given the 𝑛th terms and sum formulas. Graphing calculators or other appropriate technology may be used.