Students will learn how to make scatter plots. They'll also learn how to identify positive and negative linear relations, or their absence, in scatter plots.
Concude by giving your students this challenge:
The L shape below consists of two overlapping congruent rectangles. If the perimeter of the L shape is 40 cm, what can we say about the length and width of each rectangle?
Here's the solution: Let \(w\) be the width for one of the rectangles, and \(h\) the height, with \(w \gt h.\) By rearranging the line segments which form the boundary of the L shape, we can see it has perimeter \(4w.\) Thus, we know \(4w = 40\) and therefore \(w = 4.\) We can't say anything about \(h.\) If instead, \(w \lt h,\) then \(h = 4,\) and we can't say anything about \(w.\) If \(w = h,\) then we no longer have an L shape, but a square. Since the problem specifies an L shape, this can't be the case.
Note: This is the NRICH problem L-emental. I copied it because I wanted to provide a more detailed solution.