Author: simmonsb

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes if possible including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry.

Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions.

Determine the effects on the graph of the parent function f(x) =x^2 when f(x) is replaced by af(x), f(x) +d, f(x-c), f(bx) for specific values of a, b, c, and d.

Determine the domain and range of quadratic functions and represent the domain and range using inequalities.

Write equations of quadratic functions given the vertex and another point on the graph write the equation in vertex form (f(x) = a(x – h)^2+ k) and rewrite the equation from vertex form to standard form (f(x) = ax^2+ bx + c).

Write quadratic functions when given real solutions and graphs of their related equations.

Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.

Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.

Solve systems of two linear equations with two variables for mathematical and real-world problems.

Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association.

Compare and contrast association and causation in real-world problems.

Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

Determine the slope of a line given a table of values a graph two points on the line and an equation written in various forms including y = mx +b, Ax + By = C, and y – y1 = m(x – x1).

Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems.

Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.

Graph the solution set of linear inequalities in two variables on the coordinate plane.

Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d.

Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.

Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems.

Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.

Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities.

Write linear equations in two variables in various forms including y = mx +b, Ax + By = C, and y – y1 = m(x – x1) given one point and the slope and given two points.

Write linear equations in two variables given a table of values, a graph, and a verbal description.

Write and solve equations involving direct variation.

Write the equation of a line that contains a given point and is parallel to a given line.

Write the equation of a line that contains a given point and is perpendicular to a given line.

Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined.

Write linear inequalities in two variables given a table of values, a graph, and a verbal description.

Write systems of two linear equations given a table of values, a graph, and a verbal description.