Missing coordinates given slope

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Objective

SWBAT determine missing coordinates given slope.

Big Idea

You've found slope before, given two points. But what if I gave you one point and the slope? Could you find the other point?

Lesson Author

Jeff Li MTP

New York, NY

Grade Level

Eighth grade

Subjects

Math

modeling

Algebra

slope (Linear Equations)

Standards

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.

8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s<sup>2</sup> giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP7

Look for and make use of structure.

Warm Up

10 minutes

Play of the Day

40 minutes

Huddle

10 minutes

For the huddle for this lesson, I really like going over the GOLD, and seeing if any students could tackle these problems using mental math. It is quite a challenge, but really pushes the kids to try to hold multiple calculations in their head simultaneously, and also pushes procedural fluency.