Not only was this a great lesson, but when I do it again, I will do it as part of their interactive notebook and make the exit ticket their reflection piece at the end. To find the area of irregular shapes, the first thing to do is to divide the irregular shape into regular shapes that you can recognize such as triangles. I wish I had taken pictures of some of their answers, because they were wonderful! In the example the student is working on above, once she figured out the area of one of the squares in her cross, she could easily figure out the area of the entire shape.īefore they left, they had to answer the question above as an exit ticket. They traced the pentominoes on graph paper and used the units on the graph paper as well as measuring them to find actual measurements.įor kids who quickly grasped the concept, I had them do some exploration with area as well. Thus the required area is the shaded area in the figure f: g: To express the area in terms of definite inte-grals, we need to know the x-coordinates of the points of intersection of the horizontal line y 8 with the graphs of f and g respectively, i.e., the solutions of f (x) 8 and g (x) 8. I wanted them to really get into the activity and make the discoveries for themselves. We only did ONE example (above) together before I sent them off to begin looking at the shapes in their pack. Using that information, we could determine the measure of the bottom two lines. First, we determined that the three measures on top (the ones I have highlighted in blue) were the same. We started out with this stair step piece because I think it really clearly shows how you can use one measure to figure out others. SketchAndCalc is an irregular area calculator app for all manner of images containing irregular shapes. Otherwise, I would recommend a plastic class set of them from Amazon or the teacher store because they are wonderful and have many applications!Īnd a little disclaimer before I post the lesson… have mercy on my poor quality pictures! These were taken on the fly before I erased it for the next topic. This version includes square units, which would be great for differentiation, too. If you don't have a class set of pentominoes, you can print out a set from Scholastic HERE. ![]() ![]() I remembered how much I loved it, and I wanted to share it with you quickly here! It's so easy, and the perfect introduction to the concept. Language: English School subject: Math Grade/level: 4. ![]() I was spending hours reminiscing and looking through old photos when I came across these few photos that I had taken of a lesson on perimeter of irregular shapes.
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