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Lesson Plan

Interpret Slope and y-intercept from Context: Trajectory of Understanding

teaches Common Core State Standards CCSS.Math.Practice.MP4
teaches Common Core State Standards CCSS.Math.Practice.MP8
teaches Common Core State Standards CCSS.Math.Content.HSS-ID.C.7

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Students will understand that the slope describes the change in the dependent variable per 1 of the independent variable, and that the y-intercept describes the value of the dependent variable when the independent variable is 0. The task uses a line of best fit in a real-world context. The suggested public discussion of student work shows a trajectory of understanding. Discussing this work publicly is important because the students' levels of knowledge varies from finding the slope and y-intercept to interpreting/analyzing the slope and y-intercept from the given models. Three pieces of work are shown. The first shows that the student understands how to locate the y-intercept and slope from a graphical model, but does not relate the two to the contextual situation. The second shows that the student can identify the slope from an equation in slope-intercept form and that the y-intercept is the starting point of the graph, however nothing is related to the context of the problem. The third shows that the student understands the terms of coefficient and constant and how to interpret them from the context of the problem. This Student Work Discussion Plan was created by a member of the 2015 Delaware Dream Team.
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