PROPORTIONAL RELATIONSHIPS UNIT
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different
proportional relationships represented in different ways. For example, compare a distance-time graph to a
distance-time equation to determine which of two moving objects has greater speed.
_____ A. I can compare two proportional relationships that are represented in different ways.
_____ B. I can interpret unit rate as slope of the graph or equation.
_____ C. I can determine slope from a graph.
_____ D. I can use proportional reasoning to solve real world problems.
_____ E. I can graph proportional relationships from given information.
_____ F. I can define the equation y=mx for a line going through the origin.
8.EE.B.6
Use similar triangles to explain why the slope m is the same between any two distinct points on a nonvertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the
equation y = mx + b for a line intercepting the vertical axis at b.
_____ A. I can identify characteristics of similar triangles.
_____ B. I can use similar triangles of dilations to explain why slope is the same between two points
on a line.
_____ C. I can derive the equation y = mx for a line passing through the origin on a graph.
_____ D. I can derive the equation y =mx + b for a line passing through the vertical axis, at b, on a
graph.
_____ E. I can determine the slope of a line by using a
____ 1. Graph
____ 2. Slope Formula
____ 3. Equation of a line
_____ F. I can determine the y intercept, b from a line by using a
____ 1. Graph
____ 2. Slope Formula
____ 3. Equation of a line
______ G. I can formulate an equation of a line given the graph of a line on a coordinate plane.
_____ H. I can analyze patterns for points on a line through the origin.
_____ I. I can analyze patterns for points on a line that do not pass through or include the origin.
_____ J. I can use similar triangles to explain why the slope(m) is the same between any two distinct
points on a non-vertical line in the coordinate plane.
_____ K. I can graph a line on a coordinate plane given the equation of a line.
Vocabulary: linear equation, slope, slope of a line, dilations, y intercept, origin, unit rate
Formulas: y=mx, y=mx+b, m= rise/run, m= y2-y1/x2-x1, m= change in y / change in x