Instructional Activity# Dot Density with a Twist

Lesson 5. Unit 9. Grade 7 Open Up Resources

Open Up Resources10 min(s)

This Instructional Activity is a part of the Lesson 5, Unit 9, Grade 7. In this activity, the dots are distributed uniformly in the first square but not in the second square. However, these dots are drawn so it is not too hard to see that if they were redistributed, each square inch would have 8 dots. The fact that we have 8 dots per square inch means that if we distributed the dots uniformly throughout the square in the right way, we would see 8 dots in each square inch. This prepares students to be able to interpret the constant of proportionality in the next two activities when working with actual houses per square mile or people per square kilometer.