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AFMRIT Above 260
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AFMRIT 251-260
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AFMRIT 241-250
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AFMRIT 231-240
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AFMRIT 221-230
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AFMRIT 211-220
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AFMRIT 201-210
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AFMRIT 191-200
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AFMRIT 181-190
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AFMRIT 171-180
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AFMRIT Below 171
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AFMRIT Above 260• Factors polynomials by identifying a common monomial and then factoring the trinomial
• Simplifies monomials & polynomial expressions using power laws
• Rewrites a complex formula to solve for a specific variable
• Solves polynomial inequalities & polynomial equations with fractions as exponents & polynomial equations and inequalities with absolute value
• Solves quadratic equations by completing the square & quadratic equations using the quadratic formula
• Solves real-world systems of equations & logarithmic functions
• Writes linear equations, given slope and point on a line & the equation of the line when given the graph of the line
• Determines the minimum and maximum of a function & x- or y-intercept of a given equation & slope from an equation (analysis)
• Determines the slope of perpendicular lines and of parallel lines

AFMRIT 251-260• Applies algebraic methods to solve complex real-world and theoretical problems
• Evaluates expressions by substituting with rational numbers
• Multiplies binomials & a polynomial by a polynomial
• Divides a polynomial by a monomial
• Factors polynomials by identifying common factors & polynomials using difference of squares & trinomials in the form x^2 + bx + c
• Simplifies monomials and polynomial expressions
• Rewrites a complex formula to solve for a specific variable & an equation for a line in standard form + f), a/x = b) & an equation as a first step in factoring
• Solves problems involving consecutive numbers & polynomial equations using binomial expansion
• Solves polynomial equations with integers as exponents & polynomial equations and inequalities with absolute value
• Solves quadratic equations by factoring & quadratic equations by completing the square & equations using rational numbers
• Solves real-world systems of equations & inequalities using number lines & logarithmic functions
• Solves polynomial equations (e.g., ax = b + cx, a(x + b) = c, ax + b = cx + d, a(bx + c) = d(ex
• Uses expressions to represent situations that involve variable quantities with exponents
• Uses expressions with absolute value to represent situations & polynomial equations to solve area and perimeter problems
• Uses algebraic terms appropriately (e.g., "equation," "inequality," "variable," "expression," "term," "coefficient," "domain," "range")
• Uses the Multiplication Property of Equality as a first step in solving systems of equations
• Uses substitution as a first step in solving systems of equations & algebraic methods to solve systems of equations
• Uses graphs to solve systems of equations, to solve systems of equations in real-world situations, to represent functions
• Uses polynomial equations to solve complex theoretical problems (e.g., using distributive property, variables on both sides)
• Estimates the limit of a given infinite sequence (e.g., given the sequence 1/n, as n gets larger)
• Identifies discriminants and roots & the equation of a parabola
• Writes equivalent forms of algebraic equations using multiplication and division
• Writes linear equations, given two points on a line
• Writes the equation of the line when given the graph of the line
• Determines the graph of a line when given the equation & the vertex of a parabola
• Determines the slope of perpendicular lines, of parallel lines, from an equation (analysis), from ordered pairs and tables, and from graphs
• Determines the domain and range of a function & the effects of parameter changes on functions
• Investigates, describes, and predicts the effects of parameter changes on the graphs of exponential functions
• Distinguishes between linear and nonlinear functions (analysis)
• Represents a real-world function using a complex equation (e.g., variables on both sides, distributive, rational)
• Models real life functions using function notation
• Interprets the meaning of slope and intercepts in problem solving situations
VOCABULARY: • Complex, Coordinate plane, Discriminant, Empty set, Geometric series, Linear, Quadratic equation, Relation, Undefined, Wider
SIGNS & SYMBOLS: • X-coordinate, X-intercept, Y-coordinate, • cm Centimeter/centimeter, • m Meter/metre, P Perimeter

AFMRIT 241-250• Determines the expression for the area of a figure represented by algebra tiles
• Determines the domain and range of a function & the x- and/or y-intercept of an equation & the slope from an equation
• Describes the relationship or a real-world situation represented by a simple equation or inequality (e.g., 1- or 2-step)
• Describes a relationship or a real-world situation represented by a complex equation or inequality (e.g., variables on both sides)
• Applies algebraic methods to solve a variety of real-world and theoretical problems
• Evaluates expressions by substituting with rational numbers & absolute-value algebraic expressions using substitution strategies
• Multiplies binomials
• Factors trinomials in the form x^2 + bx + c & polynomials using difference of squares
• Simplifies polynomial expressions
• Solves problems involving complex functions & involving consecutive numbers
• Solves 2-step open sentences with missing factors (variables on both sides of the sentence)
• Solves open sentences with fractions
• Solves linear equations with fractions
• Solves equations using rational numbers
• Solves simple inequalities using number lines
• Uses expressions to represent situations that involve variable quantities with exponents
• Uses equations to represent situations involving variable quantities
• Uses polynomial equations to solve complex real-world problems (e.g., using distributive property, variables on both sides)
• Uses the Multiplication Property of Equality as a first step in solving systems of equations & algebraic methods to solve systems of equations
• Uses graphs to solve systems of equations in real-world situations
• Uses an algebraic expression to represent exponential patterns & ordered pairs to graph a parabola & tables to represent functions
• Represents linear patterns using algebraic expressions &
• Represents a real-world function using a complex equation (e.g., variables on both sides, distributive, rational)
• Writes linear equations when given ordered pairs
• Recognizes the slope of horizontal and vertical lines
• Completes a function table according to a rule (rational numbers)
• Models real life functions using function notation
• Using the slope of an equation, identifies parallel and perpendicular lines
• Identifies and describes situations with varying rates of change
• Performs operations on functions
VOCABULARY: • Algebra tile, • Domain, Function Table, Infinite, Number sequence, Point of intersection, Polynomial, Simultaneous equations, Solution set, Squared, System of equationsSIGNS & SYMBOLS: • X-axis, Y-intercept, { } Set notation, || Absolute value, d Distance, l Length, mph Miles per hour, • Multiplication symbol, t Time, w Width

AFMRIT 231-240• Represents relationships of quantities in the form of an expression & real-world functions using an equation
• Expresses a simple inequality and equation from a contextual situation
• Describes the relationship or a real-world situation represented by a simple equation or inequality (e.g., 1- or 2-step)
• Uses tables to represent functions & expressions to represent situations that involve variable quantities with exponents
• Uses basic operations on algebraic expressions (combining like terms) & (expanding - monomial by a binomial)
• Uses basic operations on algebraic expressions (substituting for unknowns) & (substituting for unknown exponents)
• Uses polynomial equations to solve complex real-world problems (e.g., using distributive property, variables on both sides)
• Writes equivalent forms of algebraic expressions (e.g., (x + 3)/2 = x/2 + 3/2)
• Writes the equation of a horizontal or vertical line when given the graph of the line
• Solves 2-step open sentences with missing factors (variables on both sides of the sentence)
• Solves open sentences with integers
• Solves 2-step linear equations
• Solves linear equations with decimals, with integers, and with fractions
• Solves simple inequalities with rational number solutions & using graphs & problems involving simple and complex functions
• Solves equations using rational numbers
• Applies algebraic methods to solve real-world problems
• Recognizes commutative, associative, distributive, symmetric, transitive, and reflexive properties
• Recognizes and extends arithmetic sequences (linear patterns) & the Fibonacci sequence
• Determines the graph of a horizontal or vertical line when given the equation & the slope from an equation
• Distinguishes between linear and nonlinear functions
• Completes a function table according to a rule
• Models real life functions using function notation
• Using the slope of an equation, identifies parallel and perpendicular lines
VOCABULARY: • Algebraic sentence, • Arithmetic progression, Depreciate, Equation of a line, Linear graph, Mathematical sentence, Regression equation, Regression line
SIGNS & SYMBOLS: • f(x) The value of the function f at x, ≥ Greater than or equal to, ≤ Less than or equal to, % Percent,

AFMRIT 221-230• Describes the relationship or a real-world situation represented by a simple equation or inequality (e.g., 1- or 2-step)
• Describes and uses a variable in a contextual situation
• Represents relationships of quantities in the form of an expression & patterns using written descriptions (e.g., explains the rule)
• Expresses a simple equation from a contextual situation
• Demonstrates an understanding of properties (e.g., commutative, associative, distributive, properties of 0)
• Uses basic operations on algebraic expressions (expanding - monomial by a binomial), (uses correct order of operations) & (substituting for unknowns)
• Uses models to represent functions
• Writes equivalent forms of algebraic expressions (e.g., (x + 3)/2 = x/2 + 3/2) & algebraic equations using addition and subtraction
• Solves open sentences with calculations on both sides of the sentence & with decimals & with integers
• Solves 2-step open sentences with missing factors
• Solves simple inequality open sentences
• Solves 1-step and 2-step linear equations
• Solves linear equations with decimals & with integers & using substitution
• Solves linear equations in a real-world context using a given formula & problems involving simple functions
• Applies algebraic methods to solve theoretical problems and real-world problems
• Applies systems-of-equations methods to solve theoretical problems
• Recognizes commutative, associative, distributive, symmetric, transitive, and reflexive properties
• Recognizes and extends geometric sequences & a sequence of triangular numbers
• Completes a function table according to a rule
• Investigates and describes functional relationships of geometric figures (e.g., area is a function of the radius)
VOCABULARY: • Algebra, • Algebraic equation, • Associative, • Distributive, • Reflexive, • Transitive,
SIGNS & SYMBOLS: • ( ) Parenthesis around an integer, Intersection, Repeating decimal overbar, Δ Triangle


AFMRIT 211-220• Uses simple equations and inequalities to represent problem situations & algebraic reasoning to solve problems involving equality relationships
• Uses basic operations on algebraic expressions (uses correct order of operations) & models to represent functions
• Solves problems involving simple functions
• Solves open sentences using the distributive property & with calculations on both sides of the sentence
• Solves simple open sentences with missing factors (numbers over 100)
• Solves 2-step open sentences with missing factors
• Solves 1-step linear equations
• Applies algebraic methods to solve theoretical problems
• Recognizes patterns in designs & simple growing patterns
• Analyzes patterns to identify rules & patterns in equations to identify rules
• Identifies rules and applies them to new patterns
• Completes a simple function table or function machine
VOCABULARY: • Dividend, • Triple
SIGNS & SYMBOLS: • a.m., ¢ Cent sign, $ Dollar sign, ? Next in sequence, ° ºF, +, =


AFMRIT 201-210• Uses basic operations on algebraic expressions (uses correct order of operations) & models to represent functions
• Uses simple equations and inequalities to represent problem situations & algebraic reasoning to solve problems involving equality relationships
• Describes a realistic situation using information given in an equation
• Solves simple open sentences with missing equality or inequality symbols & with missing factors (numbers 100 and under)
• Solves complex open sentences using diagrams and models (e.g., using balances)
• Solves 1-step open sentences with missing addends (numbers over 100)
• Solves 2-step open sentences with missing addends & with missing operation symbols
• Solves open sentences with basic-facts calculations on both sides of the sentence
• Recognizes decimal and fraction linear patterns & simple growing patterns
• Analyzes patterns to identify rules & geometric patterns
VOCABULARY: • Minimum, • Ordered pair, Square number
SIGNS & SYMBOLS: • ( ) Order of operations, ( ) Ordered pair, Missing operation, - Negative number, Null or empty set, + Positive number

AFMRIT 191-200• Solves simple & complex open sentences using diagrams and models (e.g., using balances)
• Uses algebraic reasoning to solve problems involving equality relationships
• Solves 1-step open sentences with missing addends (numbers 100 and under) & (numbers over 100)
• Solves 2-step open sentences with missing addends & with missing operation symbols
• Solves simple open sentences with missing factors (numbers 100 and under)• Recognizes basic whole-number linear patterns
• Extends simple object patterns & simple letter patterns

AFMRIT 181-190• Solves simple open sentences using diagrams and models (e.g., using balances) & linear equations with basic facts
• Solves 1-step open sentences with missing addends (numbers 100 and under) & 2-step open sentences with missing operation symbols
• Recognizes patterns in sets representing numbers & patterns in number tables & letter patterns & basic whole-number linear patterns
• Extends simple number patterns & simple object patterns
VOCABULARY: • Set

AFMRIT 171-180• Solves basic-facts open sentences & simple open sentences with missing operation symbols & linear equations with basic facts
• Recognizes number patterns (e.g., 2's, 5's, 10's, 50's, 100's)
• Extends simple number patterns & simple geometric shape patterns
VOCABULARY: • Whole Number

AFMRIT Below 171• Solves basic-facts open sentences & simple open sentences with missing operation symbols
• Recognizes number patterns (e.g., 2's, 5's, 10's, 50's, 100's)
• Extends simple geometric shape patterns
VOCABULARY: • Addend, Variable, Number Sentence
SIGNS & SYMBOLS: • + Addition, ÷ Division, > Greater than, = Is equal to, < Less than, × Multiplication, − Subtraction