Find and extend patterns

Recognize and extend a pattern: shape, color and size

Determine what operation is needed to solve a word problem (addition and subtraction)

Determine what operation is needed to solve a word problem (any operation)

Solve for missing factors in a multiplication or division sentence

Evaluate a numerical equation involving more than one operation

Demonstrate the associative, commutative, and zero property of addition

Find and extend patterns, both increasing and decreasing

Complete a table according to a rule

Use inverse operations to find missing equation

Write number sentences using addition

Identify missing elements in number sentences

Identify the associative, commutative, identity and zero property of multiplication

Graph ordered pairs in the first quadrant

Count and write by 4’s

Use symbols of inequality, < and > to write and complete number sentences

Solve simple addition problems with “n” as an addend or sum

Solve simple multiplication problems with “n” as a multiple or product

Solve simple division problems with “n” as a quotient or divisor

Identify the base and the exponent of a given numerical expression and calculate its value

Evaluate numerical expressions using the order of operations

Solve whole number equations with any operation

Use of a function “machine” to determine input and output

Evaluate an expression involving more than one operation (order of operations)

Use the basic properties of multiplication to write an algebraic expression that is equivalent to a given algebraic expression

Solve equations involving more than one operation

Multiply and divide polynomials

Solve equations involving rational numbers (addition and subtraction)

Use strategies to develop computational fluency with multiplication: zero property, property of one, arrays, doubles, nine patterns

Use the basic properties of addition to write an algebraic expression equivalent to a given algebraic expression

Understand the properties of integers: commutative, associative, identity, zero property of multiplication, distributive property of multiplication over addition, and inverse property of addition

Use logic to solve a problem involving a function table

Solve quadratic equations

Complete a function table according to a rule

Recognize and continue a number pattern and/or geometric representation (e.g. Fibonacci sequence, triangular numbers)

State a rule to explain a number pattern, including arithmetic progression

Investigate geometric patterns and relationships and describe them algebraically

Use boxes or other symbols to stand for any number in expressions or equations

Solve whole number equations with one variable (multiplication and division)

Solve integer equations (one step, all four operations)

Solve equations involving more than one operation

Definition and application of absolute value

Solve one-step linear equations in one variable using addition, subtraction, multiplication, and division with integer solutions

Simplify numeric expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative)

Using whole numbers, complete a function table based on a given rule

Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is constant

Identify linear equation for a straight line

Write an algebraic expression to model a situation

Evaluate an algebraic expression for given values

Explore equivalent ratios involving missing variables

Use the correct order of operations to evaluate numeric and algebraic expressions

Simplify and evaluate expressions that include positive and negative integral components

Simplify polynomials by combining like terms

Use the rules of exponents to multiply and divide monomials

Solve simple linear equations and inequalities over the rational numbers

Students analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically

Determine whether a relation is defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion

Use a function table to determine inverse variation

Students solve equations and inequalities involving absolute values

Understand the concepts of parallel lines and perpendicular lines and how those slopes are related

Solve a system of two linear equations in two variables algebraically and interpret the answer graphically

Graph a linear function in two variables using the slope-intercept method and identify intercepts

Solve a system of two linear inequalities in two variables and identify the solution set

Understand and use the rules of exponents, including negative exponents

Add, subtract, multiply, and divide monomials and polynomials

Apply basic factoring techniques to second- and simple third-degree polynomials, including finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials

Add, subtract, multiply, and divide rational expressions and functions

Simplify an expression containing imaginary roots

Find the difference of two squares

Simplify embedded expressions before solving linear equations and inequalities in one variable

Identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers

Solve problems that use variables in expressions describing geometric quantities by solving for one variable

Solve equations with variables as exponents

Use the rules of exponents to multiply polynomials by monomials

Derive linear equations by using the point-slope function

Find the slope given two points on the line of a given graph

Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line

Simplify monomials containing integer powers and roots

Find the solution set for inequalities that include absolute values

Identify the equation of a parabola

Simplify expressions containing cube roots

Solve expressions containing factorials

Find the number of possible solutions for a system of equations

Cube a binomial

Solve a quadratic equation by factoring or completing the square

Know the quadratic formula and demonstrates its proof by completing the square

Identify discriminant and roots

Use the quadratic formula to find the roots of a second-degree polynomial and solve quadratic equations

Graph quadratic functions and know that their roots are the x-intercepts

Find sin and cosine of a given angle

Solve logarithmic functions

Determine the domain of independent variables and the range of dependent variables in a relation that is defined by a graph, a set of ordered pairs, or a symbolic expression

Analyze properties and relationships of functions (e.g. linear, polynomial, rational)

Find the slope of a line parallel to a given line

Find the x-intercept of a given equation

Solve equations with fractions as exponents

Analyze a graph to identify the appropriate system of equations

Determine the vertex of a parabola

Determine which of several equations can be factored

Determine commonalities between three given equations of lines

Use graph to identify trigonometric functions of angles

Find cosine, sine, and tangent of any given angle

Use law of cosines

Identify the region defined by a linear inequality

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