A learning situation where students are allowed to explore various relations between areas and perimeters of geometric figures. Students will discover, among other things, that the square offers the largest area/perimeter ratio of the quadrilateral figures. Gradually, students will make various comparisons between area/perimeter ratios of other geometric figures. At the end, they might discover that the circle offers the best area/perimeter ratio.
Exploring: area/perimeter ratios, triangles, Pythagore's relation, hexagonal and octogonal figures, proportions. Initiation to trigonometric concepts.
Best if used by teams of 2-3 students. Teacher support is essential. Comparing results between different teams makes activity more interesting.
CA2 - Producing algebraic models
CA3 - Determining unknown values using algebraic models
EK2 - Arithmetic
EK3 - Perimeter, area and volume
EK4 - Proportions
OC1 - Thinks logically
3 h et moins / Travail d'équipe