Unit 8, Lesson 15
When Is the Same Size Not the Same Size?
Accelerated 7
Preparation
Lesson Narrative
In this culminating lesson for the unit, students use the Pythagorean Theorem to compare the diagonal lengths of rectangles with various dimensions. They investigate different aspect ratios of items such as photographs and smartphone screens.
There is an element of mathematical modeling (MP4) in the last activity, because in order to quantify the screens’ sizes to compare them, students need to refine the question that is asked.
This lesson is optional.
- Apply ratios and the Pythagorean Theorem to solve a problem involving the aspect ratio of screens or photos, and explain (orally) the reasoning.
- Describe (in writing and using other representations) characteristics of rectangles with the same aspect ratio or with different aspect ratios.
- Let’s figure out how aspect ratio affects screen area.
Required Preparation
None