Mathematical imagination warm up 2

About how many rectangles? Part 2

Watch the video

Transcript

Welcome back young mathematicians! How did you go? Yeah, I think I noticed something too. When, because we had worked out when our rectangle was this size, that we needed four small rectangles to cover up the bigger rectangle. Look, one, two, three, four. Yeah and the folding of our paper helped us see that. And then we folded it in half, our small rectangle, and we said, now how many of them do you need to cover the same piece of paper?

Yeah, and what I knew too, like you some of you, is that I will now need two smaller rectangles for this sized rectangle. So, before I needed one, two, three, four small rectangles, to cover the area of my big rectangle. Now I think I need one, two, three, four, five, six, six, seven, eight rectangles. And I could count it by twos. Look, two, four, six, eight. Did you see that too? Yeah, and that for each section I needed two rectangles. Nice visualizing mathematicians! Now let's get ready for a next challenge!

Collect resources

You will need:

  • colour pencils or markers

  • your math workbook (with your thinking from Mathematical imagination warm-up 1).

Instructions

  • Discuss with someone else what you discovered about how many orange rectangles are needed to cover the larger blue rectangle.

  • Did you notice similar things?