Content Standards
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
MA.AII.2.2: Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic problems
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
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
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
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
Correlation last revised: 5/10/2018