Determine missing coordinates given slope

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Objective

SWBAT determine missing coordinates given the slope of a line.

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.EE.C.7

Solve linear equations in one variable.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP7

Look for and make use of structure.

Warm Up

10 minutes

Is there a relationship between fluency and math grades?

Fluency and math grades correlation.png

Today's Warm Up is a Mad Math Minute.

For an overview of the structure of the entire lesson, watch my Lesson Structure Overview video.

At this point in the year, I wanted to experiment with driving procedural fluency. In this case, I wanted to not only work on a speed drill - for example, single-digit multiplication facts - but also see, in a teacher-as-researcher moment, whether or not fluency is correlated with math average overall. Please see the reflection section for a discussion of the results of this informal experiment.