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Properties of rectangles - perimeter and area: Difference between revisions

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|title= Do two rectangles that have the same area also have the same perimeter?
|title= Do two rectangles that have the same area also have the same perimeter?
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|image=Dotworectangles1.png
|tagline=Well? Lesson ideas can be as long as one sentence wide.
|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.
|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.
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|resources= Questions to investigate:
* Do two rectangles that have the same area also have the same perimeter?
* How many properties of a rectangle (among 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?
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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]] [[Category:ORBIT]] [[Category:Perimeter]][[Category:Area]]
[[Category:Maths]] [[Category:Secondary]] [[Category:Primary]] [[Category:ORBIT]] [[Category:Perimeter]][[Category:Area]]
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