Calee Leger - 8th Grade Math
email: [email protected]
10/7-10/10
Unit 3-Lesson 8
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.
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. Compare the scenarios to determine which represents a greater speed. Explain your choice including a written description of each scenario. Be sure to include the rates in your explanation.