Variety of Perimeters with Fixed Area1) Overview After learning the concepts of perimeters and areas, it is easy for students to think that figures with larger perimeters would also have larger areas, and vice versa. This applet helps teachers to explore with students the variety of the perimeters of a figure formed by several congruent squares touching side by side. Together with the complementary applet "28888 Variety of Areas with Fixed Perimeter", teachers can clarify with students that a figure with a larger area may have a smaller perimeter, and areas and perimeters are two different concepts. 2) Learning Objective
3) Teaching Approach An inquiry teaching approach is expected. Students are asked to arrange 3 to 9 squares to form different figures and find their possible perimeters. Teacher then guide students to express their strategies of getting the largest and smallest perimeter with a certain number of squares. 4) Teacher’s Note
1) Overview
After learning the concepts of perimeters and areas, it is easy for students to think that figures with larger perimeters would also have larger areas, and vice versa. This applet helps teachers to explore with students the variety of the areas of a rectangle with a fixed perimeter. Together with the complementary applet "22723 Variety of Perimeters with Fixed Area", teachers can clarify with students that a figure with a larger perimeter may have a smaller area, and areas and perimeters are two different concepts. 2) Learning Objective
3) Teaching Approach An inquiry teaching approach is expected. Students are asked to shorten the longer side and lengthen the shorter side by 1 cm each time and visualize the change of the area, and investigate when the area would become largest. Teacher then help students to express arguments which justify their conclusions. 4) Teacher’s Note
