case 1

Connecting Proportionality and Covariation, Clip 1, 5:22

In this clip the teacher uses the summary of the photo enlargement problem to reinforce the relationship between proportionality and covariation.

Connecting Proportionality and Covariation, Clip 2, 7:47

In this clip the teacher is going over a common difficulty he noticed from a homework problem about enlarging a photo.

Connecting Proportionality and Covariation, Clip 1, 5:22

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  • The teacher uses the summary of the photo enlargement problem to discuss covariation with the students. This is a nice opportunity to revisit the concept now that the students have had some practice dealing with proportional situations.
  • The teacher is constantly encouraging them to verbalize which ratio is staying the same. Notice that if they use 6 and 8 as the measurements, they refer to those at the original base and original height, respectively. This is important because those measurements are specific to that situation, and thus are not varying.

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