th 8 Grade MIU 7: Slope

Essential Question Why does the slope of a line remain constant? How can similar right triangles be used to show that slope is a constant? Why is the graph of an equation written as y = mx + b linear? What is the importance of using the slope and y-intercept to graph and write a linear equation?

Learning Targets

*I can find the slope of a graph by identifying rise over run.

*I can find the slope by identifying patterns in a table of values.

*I can find the slope by identifying the change in y over the change in x given two points.

* I can identify rate of change by analyzing a real world situation.

* I can identify the rate of change by comparing the different slopes of triangles.

Key Vocabulary – write your own definition or provide your own example for each of the following:

Slope Constant Rate of Change

Change in y vs. Change in x Slope Intercept Form

Rise Run

Review from 6th Grade: Coordinate Plane x axis Horizontal

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y axis Vertical

Origin Self-Evaluation; 8th Grade, MIU 7, Slope Analyze each of the following skills using the following rubric. Put today’s date under each skill level to indicate your learning progress. Score What does this mean? 4 I understand it, I can do it, and I can comfortably explain it to another learner. 3 I can do this! I am confident that I understand it and think I can apply it. 2 I am learning, but I am not quite there yet. 1 I am not there yet. I need a lot of help.

Skills 1 2 3 4 a. A. I can compare the rise and run for each unit, or each number of units. b. 8.EE.5

B. I can describe how unit rate is represented on the graph. 8.EE.5

C. I can compare the values in a table to the values on a graph. 8.EE.5

D. I can determine the relationship between words and the values in other representations of these words. 8.EE.5

E. I draw the graph of the proportional relationship between the two quantities. 8.EE.5

F. I can define similar triangles. 8.EE.6

G. I can define slope using rise/run. 8.EE.6

H. I can count rise and run. 8.EE.6

I. I can define slope and y-intercept. 8.EE.6

J. I can identify where the graph of the equation crosses the y-axis. 8.EE.6

K. I can compare the different slopes from the triangles to find the constant rate of change. 8.EE.6

L. I can graph equations of lines using different methods. 8.EE.6

M. I can identify the y-intercept of a line, including through the origin, by looking at a graph. 8.EE.6

N. I can compare equations written in slope-intercept form to the graphs of these equations. 8.EE.6

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O. I can determine whether triangles on a coordinate plane are similar. 8.EE.6

P. I create similar right triangles using the graphed line as the hypotenuse. 8.EE.6

My Examples:

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