#### A1.1: Solving Problems

A1.1.A: Select and justify functions and equations to model and solve problems.

A1.1.B: Solve problems that can be represented by linear functions, equations, and inequalities.

A1.1.C: Solve problems that can be represented by a system of two linear equations or inequalities.

A1.1.E: Solve problems that can be represented by exponential functions and equations.

#### A1.2: Numbers, expressions, and operations

A1.2.A: Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.

A1.2.B: Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.

A1.2.C: Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions.

A1.2.F: Add, subtract, multiply, and divide polynomials.

#### A1.3: Characteristics and behaviors of functions

A1.3.A: Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.

A1.3.B: Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.

#### A1.4: Linear functions, equations, and inequalities

A1.4.A: Write and solve linear equations and inequalities in one variable.

A1.4.B: Write and graph an equation for a line given the slope and the yintercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.

A1.4.C: Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines.

A1.4.D: Write and solve systems of two linear equations and inequalities in two variables.

A1.4.E: Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent.

#### A1.5: Quadratic functions and equations

A1.5.B: Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.

A1.5.C: Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.

A1.5.D: Solve quadratic equations that have real roots by completing the square and by using the quadratic formula.

#### A1.6: Data and distributions

A1.6.B: Make valid inferences and draw conclusions based on data.

A1.6.D: Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.

A1.6.E: Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.