Curriculum Framework
RF.1.AII: Students will represent and analyze mathematical situations and properties using patterns, relations, functions and algebraic symbols.
RF.1.AII.1: Determine, with or without technology, the domain and range of a relation defined by a graph, a table of values, or a symbolic equation including those with restricted domains and whether a relation is a function
RF.1.AII.2: Evaluate, add, subtract, multiply, and divide functions and give appropriate domain and range restrictions
Addition and Subtraction of Functions
Introduction to Functions
Logarithmic Functions
Radical Functions
RF.1.AII.3: Determine the inverse of a function (Graph, with and without appropriate technology, functions and their inverses)
RF.1.AII.4: Analyze and report, with and without appropriate technology, the effect of changing coefficients, exponents, and other parameters on functions and their graphs (linear, quadratic, and higher degree polynomial)
Absolute Value with Linear Functions
Graphs of Polynomial Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Translating and Scaling Functions
Zap It! Game
RF.1.AII.5: Graph, with and without appropriate technology, functions defined as piece-wise and step
Absolute Value with Linear Functions
RF.1.AII.6: Recognize periodic phenomena (sine or cosine functions such as sound waves, length of daylight, circular motion)
Translating and Scaling Sine and Cosine Functions
RF.1.AII.7: Investigate and identify key characteristics of period functions and their graphs (period, amplitude, maximum, and minimum)
Translating and Scaling Functions
LEI.2.AII: Students will analyze and apply various methods to model, graph and solve linear and absolute value equations and inequalities.
LEI.2.AII.1: Solve, with and without appropriate technology, absolute value equations and inequalities written in one or two variables, and graph solutions.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities
LEI.2.AII.2: Solve, with and without appropriate technology, systems of linear equations with two variables and graph the solution set
Solving Linear Systems (Standard Form)
LEI.2.AII.3: Develop and apply, with and without appropriate technology, the basic operations and properties of matrices (associative, commutative, identity, and inverse)
LEI.2.AII.5: Apply, with or without technology, the concepts of linear and absolute value equations and inequalities and systems of linear equations and inequalities to model real world situations including linear programming
Cat and Mouse (Modeling with Linear Systems)
Compound Inequalities
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)
QEF.3.AII: Students will use algebraic, graphical, and numerical methods to analyze, compare, translate, and solve quadratic equations.
QEF.3.AII.1: Perform computations with radicals
QEF.3.AII.1.b: add, subtract, multiply and divide radicals
Operations with Radical Expressions
QEF.3.AII.1.c: rationalize denominators
Simplifying Radical Expressions
QEF.3.AII.1.d: solve equations that contain radicals or radical expressions
Operations with Radical Expressions
Radical Functions
QEF.3.AII.2: Extend the number system to include the complex numbers
QEF.3.AII.2.b: add, subtract, multiply, and divide complex numbers
QEF.3.AII.3: Analyze and solve quadratic equations with and without appropriate technology by
QEF.3.AII.3.a: factoring
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
QEF.3.AII.3.b: graphing
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
QEF.3.AII.3.d: completing the square
QEF.3.AII.3.e: using the quadratic formula
Addition and Subtraction of Functions
Roots of a Quadratic
Translating and Scaling Functions
QEF.3.AII.4: Derive the quadratic formula and use it to solve equations
QEF.3.AII.5: Develop and analyze, with and without appropriate technology, quadratic relations
QEF.3.AII.5.a: graph a parabolic relationship when given its equation
Addition and Subtraction of Functions
Parabolas
Roots of a Quadratic
Translating and Scaling Functions
Zap It! Game
QEF.3.AII.5.b: write an equation when given its roots (zeros or solutions) or graph
Modeling the Factorization of x2+bx+c
Parabolas
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
QEF.3.AII.5.c: determine the nature of the solutions graphically and by evaluating the discriminant
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
QEF.3.AII.5.d: determine the maximum or minimum values and the axis of symmetry both graphically and algebraically
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Zap It! Game
QEF.3.AII.6: Apply the concepts of quadratic equations and functions to model real world situations by using appropriate technology when needed
Addition and Subtraction of Functions
Quadratics in Polynomial Form
PRF.4.AII: Students will use algebraic, graphical, and numerical methods to analyze, compare, translate, and solve polynomial and rational equations.
PRF.4.AII.1: Determine the factors of polynomials by
PRF.4.AII.1.a: using factoring techniques including grouping and the sum or difference of two cubes
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
PRF.4.AII.1.b: using long division
Dividing Polynomials Using Synthetic Division
PRF.4.AII.1.c: using synthetic division
Dividing Polynomials Using Synthetic Division
PRF.4.AII.2: Analyze and sketch, with and without appropriate technology, the graph of a given polynomial function, determining the characteristics of domain and range, maximum and minimum points, end behavior, zeros, multiplicity of zeros, y-intercept, and symmetry
Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Vertex Form
PRF.4.AII.4: Identify the equation of a polynomial function given its graph or table
Graphs of Polynomial Functions
Quadratics in Factored Form
Quadratics in Vertex Form
ELF.5.AII: Students will graph exponential functions and relate them to logarithms. They will solve real world problems using exponential functions.
ELF.5.AII.1: Recognize the graphs of exponential functions distinguishing between growth and decay
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
ELF.5.AII.2: Graph exponential functions and identify key characteristics: domain, range, intercepts, asymptotes, and end behavior
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
ELF.5.AII.4: Recognize and solve problems that can be modeled using exponential functions
Exponential Functions
Introduction to Exponential Functions
ELF.5.AII.5: Establish the relationship between exponential and logarithmic functions
DAP.6.AII: Students will evaluate and interpret data, make predictions based on data, and apply basic understanding of probability to solve real world problems.
DAP.6.AII.1: Find regression line for scatter plot, using appropriate technology, and interpret the correlation coefficient
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
DAP.6.AII.2: Interpret and use the correlation coefficient to assess the strength of the linear relationship between two variables
DAP.6.AII.3: Find the quadratic curve of best fit using appropriate technology
DAP.6.AII.4: Identify strengths and weaknesses of using regression equations to approximate data
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
DAP.6.AII.5: Compute and explain measures of spread (range, percentiles, variance, standard deviation)
Polling: City
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
DAP.6.AII.6: Describe the characteristics of a Gaussian normal distribution
Polling: City
Populations and Samples
Correlation last revised: 5/8/2018