AL1.1.1.a: Identify and compare natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers

AL1.1.1.b: Represent the number system using Venn diagrams or on a number line

AL1.2.1.a: Evaluate numerical expressions, using the order of operations, and explain the steps

AL1.2.1.b: Simplify expressions with rational exponents (a² × a³; or a^1/2 × a^1/4 ) using the properties of exponents, and explain reasoning or properties used

AL1.2.1.c: Solve problems using the properties of rational and irrational numbers, and discuss answers

AL1.2.2.a: Investigate whether two ratios form a proportion, solve problems involving proportions, and report findings

AL1.2.2.b: Apply ratios on percent changes (e.g., find percentages of increase or decrease, and solve problems involving percents of change), and explain steps

AL1.3.1.a: Recognize patterns, and then find the indicated terms of arithmetic and geometric sequences

AL1.3.1.b: Determine the general term (or formula) from a given list of terms of an arithmetic or geometric sequence

AL1.3.1.c: Generate a sequence, given the general term

AL1.3.2.a: Represent relations as sets of ordered pairs, tables, mappings, and graphs

AL1.3.2.b: Find the inverse of a relation, and explain steps

AL1.3.2.c: Identify relations as a set of ordered pairs, labels, mappings, and graphs

AL1.3.2.d: Create new functions from existing functions, and explain steps

AL1.3.2.e: Evaluate linear, exponential, quadratic, and absolute value functions, and discuss differences

AL1.3.2.f: Determine whether a relation is a function, and find functional values

AL1.3.2.g: Interpret functions that arise in terms of context linear, exponential, and quadratic

AL1.3.3.a: Identify linear, exponential, and quadratic expressions, and chart differences and similarities

AL1.3.3.b: Determine the degree of expressions

AL1.3.3.c: Formulate functions that model a relationship between two quantities, and build new functions from existing functions (linear, exponential, and absolute value), and explain decisions

AL1.3.3.d: Write linear, exponential, and absolute value functions from the given information (word problems); read orally; and solve them

AL1.3.4.a: Identify, write, and graph a linear function, and determine the intercepts and relation to graph

AL1.3.4.b: Identify and write nonlinear functions, and explain them

AL1.3.4.c: Write functions (linear and exponential) using function notation, and read them orally

AL1.3.5.a: Determine and interpret the rate of change and initial value of a linear function in terms of the situation it models; or from a description of a relationship; or from two (x, y) values, including reading these from a table or from a graph

AL1.3.5.b: Represent real-world and mathematical problems by graphing points on the coordinate plane, and interpret and discuss coordinate values of points in the context of the situation

AL1.3.5.c: Interpret points on a scatter plot, and use lines of fit to evaluate predictions

AL1.3.6.a: Graph the solutions to a linear inequality in two variables on the coordinate plane

AL1.3.6.b: Graph the solution set to a system of linear inequalities in two variables using half-planes

AL1.3.6.c: Solve exponential equations graphically, and explain orally

AL1.4.1.a: Write mathematical expressions or equations for verbal expressions or equations; write and speak verbal expressions or equations for mathematical expressions or equations; and solve related problems (quadratic and exponential)

AL1.4.2.a: Find prime factors and the greatest common factors of monomials

AL1.4.2.b: Factor polynomials using a suitable method (e.g., distributive property, trinomials, difference of squares, perfect square trinomials), and explain steps, including choice of method

AL1.4.3.a: Simplify monomial expressions using the laws of exponents (i.e., simplify expressions involving powers of monomials or the quotient of monomials, or containing negative exponents)

AL1.4.3.b: Find the degree of a polynomial, and arrange the terms of a polynomial in ascending or descending order

AL1.4.3.c: Simplify polynomial expressions (i.e., add, subtract, multiply, and divide using both long and synthetic methods)

AL1.4.3.d: Simplify rational and radical expressions (i.e., add, subtract, and multiply)

AL1.4.4.a: Evaluate algebraic expressions by using the order of operations

AL1.4.4.b: Interpret expressions for functions in terms of the situation they model, and solve problems [e.g., linear and exponential of the form f(x) = b^x+ k]

AL1.4.4.c: Recognize and use the properties of identity, equality, distributive property, commutative and associative properties to simplify and evaluate algebraic expressions

AL1.4.5.a: Find the slope m of a line from two given points using the formula, m = Δy/Δx

AL1.4.5.b: Construct equations of lines using various forms (e.g., point-slope or slope intercept form), sketch the graph in the coordinate planes, and discuss results

AL1.4.6.a: Define absolute value, using several examples

AL1.4.6.b: Construct and compare linear, quadratic, and exponential models and solve problems (integer input only)

AL1.4.6.c: Solve equations (e.g., using one step, two steps), and solve absolute value equations

AL1.4.6.d: Solve equations for given variables, and use formulas to solve real-world problems, and discuss findings

AL1.4.7.a: Solve linear equations in one variable

AL1.4.7.b: Solve systems of equations by graphing, and use graphs to determine whether a system of linear equations has no, one, or infinitely many solutions