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
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)
RF.1.AII.5: Graph, with and without appropriate technology, functions defined as piece-wise and step
RF.1.AII.6: Recognize periodic phenomena (sine or cosine functions such as sound waves, length of daylight, circular motion)
RF.1.AII.7: Investigate and identify key characteristics of period functions and their graphs (period, amplitude, maximum, and minimum)
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.
LEI.2.AII.2: Solve, with and without appropriate technology, systems of linear equations with two variables and graph the solution set
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
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
QEF.3.AII.1.c: rationalize denominators
QEF.3.AII.1.d: solve equations that contain radicals or radical expressions
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.d: completing the square
QEF.3.AII.3.e: using the quadratic formula
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
QEF.3.AII.5.b: write an equation when given its roots (zeros or solutions) or graph
QEF.3.AII.5.c: determine the nature of the solutions graphically and by evaluating the discriminant
QEF.3.AII.5.d: determine the maximum or minimum values and the axis of symmetry both graphically and algebraically
QEF.3.AII.6: Apply the concepts of quadratic equations and functions to model real world situations by using appropriate technology when needed
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
PRF.4.AII.1.b: using long division
PRF.4.AII.1.c: 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
PRF.4.AII.4: Identify the equation of a polynomial function given its graph or table
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
ELF.5.AII.2: Graph exponential functions and identify key characteristics: domain, range, intercepts, asymptotes, and end behavior
ELF.5.AII.4: Recognize and solve problems that can be modeled using 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
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
DAP.6.AII.5: Compute and explain measures of spread (range, percentiles, variance, standard deviation)
DAP.6.AII.6: Describe the characteristics of a Gaussian normal distribution
Correlation last revised: 5/8/2018