I've noticed in my Geometry classes that students struggle with the idea of what happens to the perimeter and area of a shape if you double its sides, and I've thought that I could perhaps more easily teach this concept to my Algebra 1 students by having them actually draw a shape, determine its area and perimeter, and then repeat the activity for a shape in which all sides are doubled. This is the resulting worksheet.
This worksheet "holds their hands" as they look into this issue. It asks them to explain their predictions and test them.
The file includes spiral review problems, such as exponents, which actually come in handy for this sort of exercise.
It is intended that students will put their work on a separate sheet of paper for this activity.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may edit for your students.
Keywords: area, perimeter, doubling the sides, r:r^2:r^3 theorem, r - r^2 - r^3 relationship, Jonnard