Gizmos for Arkansas - Mathematics: Algebra II (Academic Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

A2.RC: : Radicals and Complex Numbers

1.1: : Radical Expressions and Rational Exponents

1.1.1: : Students apply properties to radical expressions and rational exponents.

A2.RC.3: : Simplify and perform operations with radical expressions with and without variables; rationalizing denominators should include conjugates.

1.2: : Complex Numbers

1.2.1: : Students apply properties to complex numbers.

A2.RC.4: : Know there is a complex number i and describe contexts from which complex numbers appear.

A2.RC.5: : Perform the operations of addition, subtraction, multiplication, and conjugation of complex numbers.

A2.FN: : Functions

2.1: : Compositions

2.1.1: : Students compose and compare functions.

A2.FN.1: : Combine functions by addition, subtraction, multiplication, division, and composition to model the relationship between two quantities in mathematical and real-world contexts.

2.2: : Transformations

2.2.1: : Students perform transformations in the coordinate plane.

A2.FN.2: : Decide if a function is even or odd from a graph or an algebraic expression.

A2.FN.4: : Write and graph the inverse of a given function; understand that the graph of an inverse function is a reflection of the function over the line y = x.

A2.LFE: : Linear Functions and Equations

3.1: : Arithmetic Sequences

3.1.1: : Students use arithmetic sequences to model problems.

A2.LFE.1: : Write and use arithmetic sequences recursively and explicitly to model situations; translate between the two forms when given a graph, a description of the relationship, or two input-output pairs.

3.2: : Matrices

3.2.1: : Students perform operations and matrices.

A2.LFE.2: : Multiply a matrix by a scalar.

A2.LFE.3: : Add and subtract matrices.

A2.QFE: : Quadratic Functions, Equations and Inequalities

4.1: : Create & Solve

4.1.1: : Students create and solve problems that model quadratic relationships.

A2.QFE.2: : Solve quadratic equations with complex number solutions.

4.2: : Graph & Key Features

4.2.1: : Students graph and interpret key features of equations that model quadratic relationships.

A2.QFE.4: : Use the discriminant to determine the number and type of solutions of a quadratic equation.

A2.QFE.5: : Sketch the graph of a quadratic function given a verbal description and show key features.

A2.ELF: : Exponential & Logarithmic Functions & Equations

5.1: : Create & Solve

5.1.1: : Students create and solve problems that model exponential and logarithmic relationships.

A2.ELF.1: : Use the properties of exponents to find equivalent expressions and to solve equations, including those involving rational exponents.

A2.ELF.3: : Write exponential equations that model the relationship between two quantities when given a graph, a written description, or a table of values within a mathematical or real-world context.

A2.ELF.4: : Write and use geometric sequences recursively and explicitly to model situations; translate between the two forms when given a graph, a description of the relationship, or two input-output pairs.

5.2: : Logarithms

5.2.1: : Students define and use logarithms.

A2.ELF.5: : Translate between logarithmic and exponential forms of an equation.

A2.ELF.6: : Use properties of logarithms to simplify and evaluate logarithmic expressions, with or without technology.

5.3: : Graph & Key Features

5.3.1: : Students graph and interpret key features of exponential and logarithmic models.

A2.ELF.8: : Determine the domain and range of logarithmic functions in mathematical problems.

A2.ELF.12: : Graph exponential and logarithmic functions with and without context, identifying key features, and determining constraints in a given context.

A2.ELF.13: : Graph and generalize the effect of transformations on exponential and logarithmic functions.

A2.ELF.14: : Given the graphs of exponential and logarithmic functions, explain the effects of the transformation from the parent function.

A2.PRF: : Polynomial, Rational, & Other Functions & Equations

6.1: : Create & Solve

6.1.1: : Students create and solve rational and polynomial equations.

A2.PRF.2: : Solve non-linear formulas for a specified variable.

A2.PRF.3: : Find zeros of polynomial functions with a degree of 3 or higher when suitable factorizations are available in a real-world and mathematical context.

A2.PRF.4: : Use zeros and an understanding of multiplicity to sketch a graph of a polynomial function with a degree of 3 or higher.

A2.PRF.6: : Solve rational and radical equations containing one variable specifying extraneous solutions.

6.2: : Graph & Key Features

6.2.1: : Students graph and identify key features of functions.

A2.PRF.7: : Determine the domain and range of polynomial and rational functions in mathematical problems.

A2.PRF.12: : Graph functions with and without context, identifying key features and determining constraints in a given context.

A2.PRF.13: : Graph and generalize the effect of transformations on square root, cubic, and rational functions.

A2.PRF.14: : Given a graph, explain the effects of the transformation from the parent function.

6.3: : Factor Polynomials

6.3.1: : Students factor polynomials.

A2.PRF.15: : Apply the Remainder Theorem to factor and create equivalent forms of polynomial functions.

6.4: : Rational Expressions

6.4.1: : Students perform operations on rational expressions.

A2.PRF.19: : Divide polynomial expressions using inspection, long division, and synthetic division, with and without a remainder.

6.5: : Systems of Equations

6.5.1: : Students solve systems of equations.

A2.PRF.20: : Explain why a solution to the equation f(x) = g(x) is the x-coordinate where the y-coordinate of f(x)and g(x) are the same using graphs, tables, or approximations.

A2.SP: : Statistics & Probability

7.1: : Statistical Experiments & Studies

7.1.1: : Students evaluate processes for statistical experiments, make inferences, and justify conclusions from statistical studies.

A2.SP.1: : Use data from a random sample to make inferences about a population.

A2.SP.2: : Compare theoretical and empirical probabilities using simulations.

A2.SP.3: : Distinguish between sample surveys, experiments, and observational studies and explain the purpose of randomization in statistical studies.

Correlation last revised: 10/8/2025

Arkansas - Mathematics: Algebra II

Academic Standards | Adopted: 2023