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Properties of rectangles - perimeter and area: Difference between revisions

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[[File:justanidea.png|link=|250px]]{{DISPLAYTITLE:Perimeter and area}}
 
{{Rinfo
{{Rinfo
|type= Lesson idea
|attribution= {{Bjoern Hassler}}
|title= Exploring properties of rectangles: Perimeter and area.
|topic=Polygons, perimeter, area
|subject=Maths
|subject=Maths
|resourcenumber=  
|resourcenumber=M0025
|age=  
|age= Secondary, Primary
|title= Do two rectangles that have the same area also have the same area?
|image=rectanglesidea.jpeg
|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 this can be a misconception. Students initially vote, then do an investigation, and finally vote again as well as present. The investigation offers an opportunity for same-task group work.
|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 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= [[Geogebra]] could be used.
|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=
|resources=  
|final=yes
|resources= Questions to investigate:
* Do two rectangles that have the same area also have the same perimeter?
* 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?
|licence=
|final=yes
}}
}}
Further questions:
* How many properties (among height, width, area, perimeter) need to be fixed to fully determine other properties of the rectangle?
* What configuration maximises perimeter? What configuration maximises area?
[[Category:Maths]] [[Category:Secondary]] [[Category:Primary]]