ADV.GEO.1
The learner will be able to describe geometric figures algebraically in the coordinate plane.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry |
Comprehension |
Master |
|
ADV.GEO.2
The learner will be able to describe the relationship between the ordered pairs and graph and equation.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry: Linear Equations |
Comprehension |
Master |
|
ADV.GEO.3
The learner will be able to apply the concepts of slope, intercepts, domain, and range.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry: Slope |
Application |
Master |
|
ADV.GEO.4
The learner will be able to solve, graph, and analyze nonlinear equations/inequalities by various methods.
| Strand |
Bloom's |
Scope |
| Coordinate Geometry |
Application |
Master |
|
|
Number Sense and Numeration
|
|
|
ADV.NSN.1
The learner will be able to compare and contrast the real number system and its various sub-systems with regard to their structural characteristics.
| Strand |
Bloom's |
Scope |
| Comparison |
Analysis |
Master |
|
ADV.NSN.2
The learner will be able to write an equivalent equation or inequality in simplest form.
| Strand |
Bloom's |
Scope |
| Equivalent Forms |
Application |
Master |
|
ADV.NSN.3
The learner will be able to write recursive and explicit formulas for sequences.
| Strand |
Bloom's |
Scope |
| Sequences |
Application |
Master |
|
ADV.NSN.4
The learner will be able to use sequences to model data.
| Strand |
Bloom's |
Scope |
| Series |
Application |
Master |
|
ADV.NSN.5
The learner will be able to use both direct and inverse variation in solving problems.
| Strand |
Bloom's |
Scope |
| Variations |
Application |
Master |
|
ADV.NSN.6
The learner will be able to use joint and combined variation in solving problems.
| Strand |
Bloom's |
Scope |
| Variations |
Application |
Master |
|
ADV.NSN.7
The learner will be able to determine the square root of a rational number through the simplification of radicals and by using a calculator.
| Strand |
Bloom's |
Scope |
| Roots/ Radicals |
Application |
Master |
|
ADV.NSN.8
The learner will be able to perform operations and solve equations using complex numbers.
| Strand |
Bloom's |
Scope |
| Complex Numbers |
Application |
Master |
|
ADV.NSN.9
The learner will be able to identify what constitutes the set of complex numbers.
| Strand |
Bloom's |
Scope |
| Complex Numbers |
Knowledge |
Master |
|
ADV.NSN.10
The learner will be able to perform the basic operations with complex numbers.
| Strand |
Bloom's |
Scope |
| Complex Numbers |
Application |
Master |
|
|
Patterns, Functions, Algebra
|
|
|
ADV.PFA.1
The learner will be able to represent and analyze relationships using tables, rules, equations, and graphs.
| Strand |
Bloom's |
Scope |
| Algebraic Concepts |
Analysis |
Master |
|
ADV.PFA.2
The learner will be able to develop and analyze algorithms.
| Strand |
Bloom's |
Scope |
| Algorithms |
Analysis |
Master |
|
ADV.PFA.3
The learner will be able to determine when an equation has multiple or no solutions.
| Strand |
Bloom's |
Scope |
| Equations |
Knowledge |
Master |
|
ADV.PFA.4
The learner will be able to solve equations and inequalities.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.5
The learner will be able to translate among tabular, symbolic, and graphical representations of functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.6
The learner will be able to use tables and graphs to interpret expressions, equations, and inequalities.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.7
The learner will be able to graph, solve, and write equations, inequalities, and systems of equations.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.8
The learner will be able to solve systems of linear equations or inequalities by using algebraic methods.
| Strand |
Bloom's |
Scope |
| Equality/Inequality |
Application |
Master |
|
ADV.PFA.9
The learner will be able to graph equations, inequalities, and systems.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
|
ADV.PFA.10
The learner will be able to solve equations, inequalities, and systems by graphing or by using tables of values.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
|
ADV.PFA.11
The learner will be able to describe the effects various parameter changes will have on the graphs of functions.
| Strand |
Bloom's |
Scope |
| Functions: Graphing |
Comprehension |
Master |
|
ADV.PFA.12
The learner will be able to determine maxima or minima points of a graph and interpret results in problem situations.
| Strand |
Bloom's |
Scope |
| Functions: Graphing |
Analysis |
Master |
|
ADV.PFA.13
The learner will be able to solve polynomial equations or inequalities by using algebraic methods.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.14
The learner will be able to apply polynomial equations up to fourth degree to obtain solutions to problems by applying properties of equality and justifying the steps used.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.15
The learner will be able to apply polynomial equations up to fourth degree to obtain solutions to problems by determining zeros and intercepts; estimating the turning points of polynomial functions; and by explaining the context of the problem.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.16
The learner will be able to solve equations by applying inverse functions.
| Strand |
Bloom's |
Scope |
| Inverse Operations |
Application |
Master |
|
ADV.PFA.17
The learner will be able to write equivalent forms of equations or inequalities.
| Strand |
Bloom's |
Scope |
| Equality/Inequality |
Application |
Master |
|
ADV.PFA.18
The learner will be able to distinguish among two point, slope-intercept, standard, and point-slope forms of a line.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Knowledge |
Master |
|
ADV.PFA.19
The learner will be able to solve by factoring, completing the square, and using the quadratic formula.
| Strand |
Bloom's |
Scope |
| Quadratic Equations |
Application |
Master |
|
ADV.PFA.20
The learner will be able to find the vertex, maximum, and minimum of a parabolic graph.
| Strand |
Bloom's |
Scope |
| Quadratic Equations |
Application |
Master |
|
ADV.PFA.21
The learner will be able to use quadratic equations and/or inequalities to obtain problem solutions by graphing, factoring, completing the square, using the quadratic formula, and/or using properties of equality, and justify the processes used.
| Strand |
Bloom's |
Scope |
| Equations: Quadratic |
Application |
Master |
|
ADV.PFA.22
The learner will be able to perform operations and solve equations using radicals.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
ADV.PFA.23
The learner will be able to simplify radicals.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
ADV.PFA.24
The learner will be able to solve quadratic equations with radical solutions.
| Strand |
Bloom's |
Scope |
| Radicals |
Comprehension |
Master |
|
ADV.PFA.25
The learner will be able to show the relationship between rational exponents and their radical forms.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
ADV.PFA.26
The learner will be able to simplify complex expressions that contain rational and/or irrational exponents.
| Strand |
Bloom's |
Scope |
| Exponents |
Application |
Master |
|
ADV.PFA.27
The learner will be able to perform operations on (add, subtract, multiply, divide) and reduce the complexity of expressions containing radicals and/or rational exponents.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
ADV.PFA.28
The learner will be able to obtain solutions to equations that contain radical expressions by graphing, factoring, and/or applying properties of equality, justifying the necessary steps.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
ADV.PFA.29
The learner will be able to obtain solutions to problems involving exponents.
| Strand |
Bloom's |
Scope |
| Exponents |
Application |
Master |
|
ADV.PFA.30
The learner will be able to factor polynomial and other expressions completely over the real numbers.
| Strand |
Bloom's |
Scope |
| Factoring |
Application |
Master |
|
ADV.PFA.31
The learner will be able to apply polynomial equations up to fourth degree to obtain solutions to problems by graphing.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.32
The learner will be able to apply polynomial equations up to fourth degree to obtain solutions to problems by factoring.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.33
The learner will be able to write a polynomial equation given its solutions.
| Strand |
Bloom's |
Scope |
| Polynomials |
Application |
Master |
|
ADV.PFA.34
The learner will be able to determine dependent and independent variables in real world scenarios.
| Strand |
Bloom's |
Scope |
| Variable |
Application |
Master |
|
ADV.PFA.35
The learner will be able to organize data into matrices and solve systems of equations by performing operations on matrices.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.36
The learner will be able to perform addition with matrices.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.37
The learner will be able to calculate the determinant of a given matrix.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.38
The learner will be able to invert a square matrix.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.39
The learner will be able to perform multiplication with matrices.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.40
The learner will be able to perform operations with matrices in order to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.41
The learner will be able to solve problems which are in the AX = B form (where A and B are matrices).
| Strand |
Bloom's |
Scope |
| Calculus: Matrices |
Application |
Master |
|
ADV.PFA.42
The learner will be able to identify functions by applying the definition of function.
| Strand |
Bloom's |
Scope |
| Functions |
Knowledge |
Master |
|
ADV.PFA.43
The learner will be able to write functions using function notation.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.44
The learner will be able to find the domain and range of functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.45
The learner will be able to evaluate functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.46
The learner will be able to make tables of values of functions.
| Strand |
Bloom's |
Scope |
| Functions |
Synthesis |
Master |
|
ADV.PFA.47
The learner will be able to find zeros of functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.48
The learner will be able to find maxima and minima of functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.49
The learner will be able to write, graph, evaluate, analyze, and apply functions.
| Strand |
Bloom's |
Scope |
| Functions |
Evaluation |
Master |
|
ADV.PFA.50
The learner will be able to compose functions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.51
The learner will be able to find inverse functions and graph to demonstrate the geometric relationship between inverse functions.
| Strand |
Bloom's |
Scope |
| Inverses |
Application |
Master |
|
ADV.PFA.52
The learner will be able to identify families of functions by using their attributes: linear, quadratic, power, polynomial, indirect variation, exponential, logarithmic, and absolute value.
| Strand |
Bloom's |
Scope |
| Functions |
Comprehension |
Master |
|
ADV.PFA.53
The learner will be able to model situations using the appropriate function in order to solve problems.
| Strand |
Bloom's |
Scope |
| Functions |
Knowledge |
Master |
|
ADV.PFA.54
The learner will be able to fit function models to data.
| Strand |
Bloom's |
Scope |
| Functions |
Knowledge |
Master |
|
ADV.PFA.55
The learner will be able to apply functions in real life situations.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.56
The learner will be able to define a function.
| Strand |
Bloom's |
Scope |
| Functions |
Knowledge |
Master |
|
ADV.PFA.57
The learner will be able to graph and apply relations and functions to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
| Functions: Relations |
Application |
Master |
|
ADV.PFA.58
The learner will be able to solve for and interpret the maximum and minimum values and the intercepts of a quadratic function.
| Strand |
Bloom's |
Scope |
| Functions |
Synthesis |
Master |
|
ADV.PFA.59
The learner will be able to create graphs of functions.
| Strand |
Bloom's |
Scope |
| Functions: Graphing |
Application |
Master |
|
ADV.PFA.60
The learner will be able to find the inverse of a given function.
| Strand |
Bloom's |
Scope |
| Functions: Inverses |
Application |
Master |
|
ADV.PFA.61
The learner will be able to graph relations on the coordinate plane.
| Strand |
Bloom's |
Scope |
| Functions: Relations |
Application |
Master |
|
ADV.PFA.62
The learner will be able to translate among graphic, algebraic and verbal illustrations of relations.
| Strand |
Bloom's |
Scope |
| Functions: Relations |
Application |
Master |
|
ADV.PFA.63
The learner will be able to relate ordered pairs, graphs, and equations.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.64
The learner will be able to determine ordered pairs in a solution set.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.65
The learner will be able to obtain solutions of problems involving rational equations by graphing, identifying the asymptotes and intercepts.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
|
ADV.PFA.66
The learner will be able to obtain solutions of problems involving rational equations by applying properties of equalities and justifying the steps applied.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
|
ADV.PFA.67
The learner will be able to obtain solutions of problems involving rational equations by applying properties of equalities and justifying the steps applied.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
|
ADV.PFA.68
The learner will be able to apply the information given in a table, graph, or rule to decide whether a function is linear and justify the reasoning behind the decision.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.69
The learner will be able to explain and illustrate patterns and functional relationships using tables, charts, graphs, algebraic expressions, rules, and oral descriptions.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
|
ADV.PFA.70
The learner will be able to apply relations and functions to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
| Functions: Relations |
Application |
Master |
|
ADV.PFA.71
The learner will be able to graph the solution of a compound inequality with one variable on a number line.
| Strand |
Bloom's |
Scope |
| Inequalities |
Application |
Master |
|
ADV.PFA.72
The learner will be able to graph, on a number line, the solutions to an inequality.
| Strand |
Bloom's |
Scope |
| Inequalities |
Application |
Master |
|
ADV.PFA.73
The learner will be able to obtain solutions to compound inequalities with one variable.
| Strand |
Bloom's |
Scope |
| Inequalities |
Application |
Master |
|
ADV.PFA.74
The learner will be able to graph a linear equation in two variables.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.75
The learner will be able to apply a system of linear equations to obtain problem solutions.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.76
The learner will be able to solve a system of linear equations by graphing.
| Strand |
Bloom's |
Scope |
| Linear Equations/Inequations |
Application |
Master |
|
ADV.PFA.77
The learner will be able to obtain solutions to problems involving basic radical equations.
| Strand |
Bloom's |
Scope |
| Radicals |
Application |
Master |
|
|
