3.5.4 Understand that the length of a horizontal line equals the difference of the x-coordinates. Understand that the length of a vertical line equals the difference of the y-coordinates. 3.5.6 Represent equations and inequalities as graphs, use graphs to solve problems, and illustrate, approximate and verify solutions. 3.5.6 Students are able to graph solutions to linear equations and inequalities. 3.5.8 Students are able to verify that a point lies on a line given an equation of the line.
Students are able to derive linear equations using the point-slope formula.
3.5.9 Students are able to understand the concepts of parallel and perpendicular line and how their slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point. 3.5.10 Students are able to graph quadratic functions and know how its roots determine x-intercepts. 3.6.1 Students use properties of number to demonstrate that assertions are true or false. Students explain the differences between inductive and deductive reasoning, and identify and provide examples of each.