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Properties of rectangles - perimeter and area: Difference between revisions
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Properties of rectangles - perimeter and area (view source)
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[[File:justanidea.png|link=|250px]]{{DISPLAYTITLE:Perimeter and area}} | |||
{{Rinfo | {{Rinfo | ||
|title= | |type= Lesson idea | ||
|topic= | |attribution= {{Bjoern Hassler}} | ||
|title= Exploring properties of rectangles: Perimeter and area. | |||
|topic=Polygons, perimeter, area | |||
|subject=Maths | |subject=Maths | ||
|resourcenumber=M0025 | |resourcenumber=M0025 | ||
|age= | |age= Secondary, Primary | ||
|image= | |image=rectanglesidea.jpeg | ||
|tagline= | |tagline=Do two rectangles that have the same area also have the same perimeter? | ||
|content= The lesson idea is about a mathematics investigation, where students explore whether two rectanges that have the same area also have the same perimeter. This is of course not the case, but nevertheless | |content= The lesson idea is about a mathematics investigation, where students explore whether two rectanges that have the same area also have the same perimeter. This is of course not the case, but nevertheless it can be a misconception. Students initially vote, then do an investigation, and finally vote again as well as present their conclusions. The investigation offers an opportunity for same-task group work. | ||
|toc= | |||
|format= | |format= | ||
|strategy= | |strategy= | ||
|additional resources= [ | |additional resources= | ||
* [http://www.geogebra.org/cms/ Geogebra] or another maths package could be used | |||
* [http://www.geogebratube.org/student/m14272 Example of a related Geogebra file] | |||
|useful information= | |useful information= | ||
|related resources= | |related resources= | ||
|other= | |other= | ||
|final=yes | |||
|resources= Questions to investigate: | |resources= Questions to investigate: | ||
* Do two rectangles that have the same area also have the same perimeter? | * Do two rectangles that have the same area also have the same perimeter? | ||
* How many properties of a rectangle ( | * How many properties of a rectangle (eg height, width, area, perimeter) need to be fixed to fully determine its other properties? | ||
* What configuration maximises the perimeter of a rectangle? What configuration maximises its area? | * What configuration maximises the perimeter of a rectangle? | ||
* What configuration maximises its area? | |||
|licence= | |||
|final=yes | |||
}} | }} | ||
