Number & Operations (N)

A1.N.1 Extend the understanding of number and operations to include square roots and cube roots.

A1.N.1.1 Write square roots and cube roots of monomial algebraic expressions in simplest radical form.

A1.N.1.2 Add, subtract, multiply, and simplify square roots of monomial algebraic expressions and divide square roots of whole numbers, rationalizing the denominator when necessary.

Algebraic Reasoning & Algebra (A)

A1.A.1 Represent and solve mathematical and realworld problems using linear equations, absolute value equations, and systems of equations; interpret solutions in the original context.

A1.A.1.1 Use knowledge of solving equations with rational values to represent and solve mathematical and realworld problems (e.g., angle measures, geometric formulas, science, or statistics) and interpret the solutions in the original context.

A1.A.1.2 Solve absolute value equations and interpret the solutions in the original context.

A1.A.1.3 Analyze and solve realworld and mathematical problems involving systems of linear equations with a maximum of two variables by graphing
(may include graphing calculator or other appropriate technology), substitution, and elimination. Interpret the solutions in the original context.

A1.A.2 Represent and solve realworld and mathematical problems using linear inequalities, compound inequalities and systems of linear inequalities; interpret solutions in the original context.

A1.A.2.1 Represent relationships in various contexts with linear inequalities; solve the resulting inequalities, graph on a coordinate plane, and interpret the solutions.

A1.A.2.2 Represent relationships in various contexts with compound and absolute value inequalities and solve the resulting inequalities by graphing and interpreting the solutions on a number line.

A1.A.2.3 Solve systems of linear inequalities with a maximum of two variables; graph and interpret the solutions on a coordinate plane. 
A1.A.3 Generate equivalent algebraic expressions and use algebraic properties to evaluate expressions and arithmetic and geometric sequences.

A1.A.3.1 Solve equations involving several variables for one variable in terms of the others.

A1.A.3.2 Simplify polynomial expressions by adding, subtracting, or multiplying.

A1.A.3.3 Factor common monomial factors from polynomial expressions and factor quadratic expressions with a leading coefficient of 1. 
A1.A.3.4 Evaluate linear, absolute value, rational, and radical expressions. Include applying a nonstandard operation such as 
A1.A.3.5 Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Use the pattern, find the next term. 
A1.A.3.6 Recognize that geometric sequences are exponential using equations, tables, graphs and verbal descriptions. Given the formula f(x) = a(r)^{x} , find the next term and define the meaning of a and r within the context of the problem. 
A1.A.4 Analyze mathematical change involving linear equations in realworld and mathematical problems.

A1.A.4.1 Calculate and interpret slope and the x and yintercepts of a line using a graph, an equation, two points, or a set of data points to solve real world and mathematical problems.

A1.A.4.2 Solve mathematical and realworld problems involving lines that are parallel, perpendicular, horizontal, or vertical. 
A1.A.4.3 Express linear equations in slopeintercept, pointslope, and standard forms and convert between these forms. Given sufficient information (slope and yintercept, slope and onepoint on the line, two points on the line, x and yintercept, or a set of data points), write the equation of a line.

A1.A.4.4 Translate between a graph and a situation described qualitatively.

Functions (F)

A1.F.1 Understand functions as descriptions of covariation (how related quantities vary together) in realworld and mathematical problems.

A1.F.1.1 Distinguish between relations and functions.

A1.F.1.2 Identify the dependent and independent variables as well as the domain and range given a function, equation, or graph. Identify restrictions on the domain and range in realworld contexts.

A1.F.1.3 Write linear functions, using function notation, to model realworld and mathematical situations.

A1.F.1.4 Given a graph modeling a realworld situation, read and interpret the linear piecewise function (excluding step functions). 
A1.F.2 Recognize functions and understand that families of functions are characterized by their rate of change.

A1.F.2.1 Distinguish between linear and nonlinear (including exponential) functions arising from realworld and mathematical situations that are represented in tables, graphs, and equations. Understand that linear functions grow by equal intervals and that exponential functions grow by equal factors over equal intervals

A1.F.2.2 Recognize the graph of the functions f(x) = x and f(x) = x and predict the effects of transformations [ f(x + c) and f(x) + c, where c is a positive or negative constant] algebraically and graphically using various methods and tools that may include graphing calculators.

Comments (0)
You don't have permission to comment on this page.