Calee Leger - 8th Grade Math
email: [email protected]
10/14-10/17
Unit 3-Lesson 9
In this cluster, the terms students should learn to use with increasing precision are unit rate, proportional relationships, slope, vertical, horizontal, similar triangles, and y-intercept.
8.EE.B 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.
8.EE.B.6 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; 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. LC.8.EE.B.6a Write the equation of a line passing through the origin as y = mx. LC.8.EE.B.6b Write the equation of a line intercepting the y-axis at b as y = mx + b.
Students will build on their work with unit rates from sixth grade and proportional relationships in seventh grade to compare graphs, tables, and equations of proportional relationships. Students identify the unit rate (or slope) in graphs, tables, and equations to compare two proportional relationships represented in different ways. Given an equation of a proportional relationship (y=mx), students draw a graph of the relationship. Students recognize that the unit rate is the coefficient of the independent variable and that this value, m, is also the slope of the line. Students will derive and graph equations in the form of y=mx+b.