case 1

Definition of Proportionality, Photo Enlargement Problem, Clip 1, 4:05

In this clip the teacher is giving an introduction to the photo enlargement problem and proportionality.

Definition of Proportionality, Photo Enlargement Problem, Clip 2, 3:36

In this clip the teacher is working with small groups to help guide them through the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 3, 3:41

In this clip the teacher is using questioning to help a small group with the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 4, 2:11

This is another example of the teacher using questioning strategies when working with a group on the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 5, 2:10

After going through the two main solution methods for the photo enlargement problem, the teacher asks the students how they can generalize.

Definition of Proportionality, Photo Enlargement Problem, Clip 5, 2:10

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  • This clip begins after the class has discussed the two main solution strategies that had emerged (constant ratio and scaling). Now the teacher wants them to create a relationship between the base and the height.
  • He sees they are confused by the task and helps clarify by revisiting the formula they made for the box problem. It's possible students will be confused when asking them to create a formula this early in the semester.

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