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 x2+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 x2+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