MA.AII.2: Understand the meaning of operations and how they relate to each other

MA.AII.2.1: Add, subtract, multiply, and divide complex numbers

Points in the Complex Plane

MA.AII.2.2: Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic problems

Logarithmic Functions

MA.AII.3: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.AII.3.1: Use matrix operations (i.e. multiplication and inverse) to solve problems

Dilations

MA.AII.9: Understand various types of patterns and functional relationships

MA.AII.9.1: Apply the properties of arithmetic and geometric sequences and series to solve problems

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

MA.AII.9.2: Use exponential functions to solve problems involving exponential growth and decay

Compound Interest
Introduction to Exponential Functions

MA.AII.9.3: Use the properties of many types of functions (e.g., polynomial, step, absolute value, step, exponential, and logarithmic) to identify the function's graph

Absolute Value with Linear Functions
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Exponential Functions
Logarithmic Functions
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Translating and Scaling Functions

MA.AII.9.4: Use the appropriate terminology and notation to define functions and their properties (e.g., domain, range, function composition, inverses, zeros)

Introduction to Functions
Points, Lines, and Equations

MA.AII.9.5: Determine the zeros of a function algebraically or graphically

Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic

MA.AII.9.6: Describe the relationship among relations and functions

Introduction to Functions
Linear Functions
Points, Lines, and Equations

MA.AII.9.7: Determine the domain and range of a relation given a graph or a set of points

Introduction to Functions

MA.AII.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.AII.10.1: Solve equations and inequalities involving absolute values

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities

MA.AII.10.2: Solve systems of linear equations and inequalities in two or three variables using a variety of strategies (e.g., substitution, graphing, matrices, technology)

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)

MA.AII.10.3: Solve equations containing radical and exponents

Operations with Radical Expressions
Radical Functions

MA.AII.10.4: Factor polynomials representing perfect squares, the difference in squares, perfect square trinomials, the sum and difference of cubes, and general trinomials

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

MA.AII.10.5: Apply quadratic equations to real-world situations

Addition and Subtraction of Functions

MA.AII.10.6: Solve quadratic equations in the complex number system

Roots of a Quadratic

MA.AII.10.8: Add, subtract, multiply, divide, and simplify rational expressions, radical expressions containing positive rational numbers, and expressions containing rational exponents

Operations with Radical Expressions
Simplifying Radical Expressions

MA.AII.10.9: Translate between the equations of conic sections (e.g., circle, ellipse, parabola, hyperbola) and their graphs

Addition and Subtraction of Functions
Circles
Ellipses
Hyperbolas
Parabolas
Translating and Scaling Functions
Zap It! Game

MA.AII.10.10: Analyze translations and dilations for graphs of absolute value functions, parabolas, and circles, and understand how the transformations are represented in equations

Absolute Value with Linear Functions
Translating and Scaling Functions
Zap It! Game

MA.AII.12: Interpret data using methods of exploratory data analysis

MA.AII.12.1: Identify trends in bivariate data and find functions that model the data

Correlation
Solving Using Trend Lines
Trends in Scatter Plots

MA.AII.14: Understand and apply basic notions of chance and probability

MA.AII.14.1: Use the fundamental counting principles for combinations and permutations to determine probability

Binomial Probabilities
Permutations and Combinations
Probability Simulations
Theoretical and Experimental Probability

MA.AII.14.2: Calculate probabilities of events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)

Binomial Probabilities
Geometric Probability
Independent and Dependent Events