Priority Academic Student Skills

AII.1.1: Rational Exponents

AII.1.1.b: Add, subtract, multiply, divide, and simplify radical expressions and expressions containing rational exponents.

Operations with Radical Expressions

Simplifying Radical Expressions

AII.1.2: Polynomial and Rational Expressions

AII.1.2.a: Divide polynomial expressions by lower degree polynomials.

Dividing Polynomials Using Synthetic Division

AII.1.3: Complex Numbers

AII.1.3.a: Recognize that to solve certain problems and equations, number systems need to be extended from real numbers to complex numbers.

AII.1.3.b: Add, subtract, multiply, divide, and simplify expressions involving complex numbers.

AII.2.1: Functions and Function Notation

AII.2.1.d: Use algebraic, interval, and set notations to specify the domain and range of functions of various types.

Introduction to Functions

Logarithmic Functions

Radical Functions

AII.2.1.e: Find and graph the inverse of a function, if it exists.

Exponential Functions

Linear Functions

Logarithmic Functions

AII.2.2: Systems of Equations

AII.2.2.a: Model a situation that can be described by a system of equations or inequalities and use the model to answer questions about the situation.

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

AII.2.2.b: Solve systems of linear equations and inequalities using various methods and tools which may include substitution, elimination, matrices, graphing, and graphing calculators.

Cat and Mouse (Modeling with Linear Systems)

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

AII.2.3: Quadratic Equations and Functions

AII.2.3.a: Solve quadratic equations by graphing, factoring, completing the square and quadratic formula.

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

AII.2.3.b: Graph a quadratic function and identify the x- and y-intercepts and maximum or minimum value, using various methods and tools which may include a graphing calculator.

Quadratics in Factored Form

Quadratics in Vertex Form

Zap It! Game

AII.2.4: Identify, graph, and write the equations of the conic sections (circle, ellipse, parabola, and hyperbola).

Circles

Ellipses

Hyperbolas

Parabolas

Zap It! Game

AII.2.5: Exponential and Logarithmic Functions

AII.2.5.a: Graph exponential and logarithmic functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

AII.2.5.b: Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

AII.2.5.c: Model a situation that can be described by an exponential or logarithmic function and use the model to answer questions about the situation.

AII.2.6: Polynomial Equations and Functions

AII.2.6.a: Solve polynomial equations using various methods and tools which may include factoring and synthetic division.

Dividing Polynomials Using Synthetic Division

Modeling the Factorization of *x*^{2}+*bx*+*c*

AII.2.6.c: Given the graph of a polynomial function, identify the x- and y-intercepts, relative maximums and relative minimums, using various methods and tools which may include a graphing calculator.

Graphs of Polynomial Functions

Polynomials and Linear Factors

AII.2.7: Rational Equations and Functions

AII.2.7.c: Given the graph of a rational function, identify the x- and y-intercepts, asymptotes, using various methods and tools which may include a graphing calculator.

General Form of a Rational Function

AII.2.7.d: Model a situation that can be described by a rational function and use the model to answer questions about the situation.

General Form of a Rational Function

Rational Functions

AII.3.1: Analysis of Collected Data Involving Two Variables

AII.3.1.b: Interpret results using a linear, exponential or quadratic model/equation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

AII.3.2: Measures of Central Tendency and Variability

AII.3.2.a: Analyze and synthesize data from a sample using appropriate measures of central tendency (mean, median, mode, weighted average).

Describing Data Using Statistics

Polling: City

Populations and Samples

AII.3.2.b: Analyze and synthesize data from a sample using appropriate measures of variability (range, variance, standard deviation).

Describing Data Using Statistics

Polling: City

Populations and Samples

Real-Time Histogram

AII.3.2.c: Use the characteristics of the Gaussian normal distribution (bell-shaped curve) to solve problems.

Polling: City

Populations and Samples

AII.3.2.d: Identify how given outliers affect representations of data.

AII.3.3: Identify and use arithmetic and geometric sequences and series to solve problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Correlation last revised: 5/21/2018

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