A case for a new phone


The purpose of this activity is to engage the student in using a description of transformations to solve a problem.

Achievement Objectives
GM3-6: Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto another.
Description of Mathematics

The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.



Ian made a case for his old iPhone 4 on a 3D printer. The case has dimensions 116 mm high by 58 mm wide.

Now that he has a new iPhone 6, he needs a case that is 139 mm by 70 mm.

If he wants to print the same case, but to fit his new phone, describe the transformation(s) Ian will need to tell the printer in order to make a case that fits his new phone.


The arithmetic approach  (show more)

  • The student is able to describe, with appropriate quantities, the transformation needed to complete a given task.

The conceptual approach  (show more)

  • The student is able to give the transformation needed to complete a given task.
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Level Three