#### M1.1: Solving problems

M1.1.A: Select and justify functions and equations to model and solve problems.

M1.1.B: Solve problems that can be represented by linear functions, equations, and inequalities.

M1.1.C: Solve problems that can be represented by a system of two linear equations or inequalities.

M1.1.D: Solve problems that can be represented by exponential functions and equations.

#### M1.2: Characteristics and behaviors of functions

M1.2.A: Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.

M1.2.B: Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.

M1.2.D: Plot points, sketch, and describe the graphs of functions of the form f(x) = a/x + b.

#### M1.3: Linear functions, equations, and relationships

M1.3.A: Write and solve linear equations and inequalities in one variable.

M1.3.B: 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.

M1.3.C: Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines.

M1.3.D: Write and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.

M1.3.E: Write and solve systems of two linear equations and inequalities in two variables.

M1.3.F: 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.

M1.3.G: Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.

M1.3.H: Determine the equation of a line in the coordinate plane that is described geometrically, including a line through two given points, a line through a given point parallel to a given line, and a line through a given point perpendicular to a given line.

#### M1.4: Proportionality, similarity, and geometric reasoning

M1.4.F: Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal.

M1.4.G: Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines.

#### M1.5: Data and distributions

M1.5.C: Make valid inferences and draw conclusions based on data.

#### M1.6: Numbers, expressions, and operations

M1.6.A: Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.

M1.6.C: Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.

M1.6.D: Solve an equation involving several variables by expressing one variable in terms of the others.