**Oklahoma Academic Education Standards**. A function is a rule that is performed on a number, called an input, to produce a result called an output. The rule consists of one or more mathematical operations that are performed on the input. An example of a function is y = 2x + 3, where x is the input and y is the output. The operations of multiplication and addition are performed on the input, x, to produce the output, y. By substituting a number for x, an output can be determined. Read More...

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Functions

OK.PA. Pre-Algebra (PA)

PA.A. Algebraic Reasoning & Algebra (A)

PA.A.1. Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.

PA.A.1.1. Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.

PA.A.1.2. Use linear functions to represent and explain real-world and mathematical situations.

PA.A.2. Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols, and graphs; solve problems involving linear functions and interpret results in the original context.

PA.A.2.2. Identify, describe, and analyze linear relationships between two variables.

OK.A1. Algebra 1 (A1)

A1.A. Algebraic Reasoning & Algebra (A)

A1.A.4. Analyze mathematical change involving linear equations in real-world and mathematical problems.

A1.A.4.4. Translate between a graph and a situation described qualitatively.

A1.F. Functions (F)

A1.F.1. Understand functions as descriptions of covariation (how related quantities vary together) in real-world and mathematical problems.

A1.F.1.1. Distinguish between relations and functions.

OK.A2. Algebra 2 (A2)

A2.A. Algebraic Reasoning & Algebra (A)

A2.A.1. Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context.

A2.A.1.1. Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when they exist.

A2.A.1.2. Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically.

A2.A.2. Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions.

A2.A.2.3. 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) = (x − h)(x − k)]. Identify and use the representation that is most appropriate to solve real-world and mathematical problems.

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