Given a two-variable inequality and the graph of the related equation, I can determine on which side of the line the solutions to the inequality will fall.
I can describe the graph that represents the solutions to a linear inequality in two variables.
5
Given a two-variable inequality that represents a situation, I can interpret points in the coordinate plane and decide if they are solutions to the inequality.
I can find the solutions to a two-variable inequality by using the graph of a related two-variable equation.
I can write inequalities to describe the constraints in a situation.
6
I can use graphing technology to find the solution to a two-variable inequality.
When given inequalities, graphs, and descriptions that represent the constraints in a situation, I can connect the different representations and interpret them in terms of the situation.
7
I can write a system of inequalities to describe a situation, find the solution by graphing, and interpret points in the solution.
I know what is meant by "the solutions to a system of inequalities" and can describe the graphs that represent the solutions.
When given descriptions and graphs that represent two different constraints, I can find values that satisfy each constraint individually, and values that satisfy both constraints at once.
8
I can explain how to tell if a point on the boundary of the graph of the solutions to a system of inequalities is a solution or not.
9
I can interpret inequalities and graphs in a mathematical model.
I know how to choose variables, specify the constraints, and write inequalities to create a mathematical model.
1
I can write inequalities that represent the constraints in a situation.
2
I can graph the solution to an inequality in one variable.
I can solve one-variable inequalities and interpret the solutions in terms of the situation.
I understand that the solution to an inequality is a range of values (such as $x\gt7$) that makes the inequality true.
3
I can analyze the structure of an inequality in one variable to help determine if the solution is greater or less than the solution to the related equation.
I can write and solve inequalities to answer questions about a situation.