Variety of areas with fixed perimeter - Revision history

JanetBlair: edited wording slightly

2013-04-01T15:08:41Z

edited wording slightly

← Older revision		Revision as of 15:08, 1 April 2013
Line 12:		Line 12:
	\|age= Age group 6-10, Primary		\|age= Age group 6-10, Primary
	\|content= Geogebra has been used to create a simple interactive applet. The applet and guidance notes on how to use it with students are included with the resource.		\|content= Geogebra has been used to create a simple interactive applet. The applet and guidance notes on how to use it with students are included with the resource.
	\|related resources= This activity ~~was~~ a result of the [[ORBIT/GeoGebra Competition]] that asked entrants to create an open-ended activity that supports interactive teaching and active learning.		\|related resources= This activity is a result of the 2013 [[ORBIT/GeoGebra Competition]] that asked entrants to create an open-ended activity that supports interactive teaching and active learning for the 6-10 age range.
	\|other=		\|other=
	\|final=yes		\|final=yes

JanetBlair: added 's' to objective

2013-04-01T14:18:09Z

added 's' to objective

← Older revision		Revision as of 14:18, 1 April 2013
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	<br />		<br />
	'''2) Learning ~~Objective~~'''		'''2) Learning Objectives'''
	<br />		<br />

JanetBlair: added rinfo

2013-04-01T14:13:44Z

added rinfo

← Older revision		Revision as of 14:13, 1 April 2013
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			[[Category:Maths]][[Category:Primary]][[Category:ORBIT]]
			{{Rinfo

			\|type= Lesson idea
			\|attribution= Anthony Or
			\|title= Variety of areas with fixed perimeter.
			\|tagline= Interactive GeoGebra investigation that allows children (age 6-10) to explore an element of mathematics for themselves.
			\|image= variety of areas with fixed perimeter.png
			\|topic= Visualisation
			\|subject= Maths
			\|resourcenumber= M00XX
			\|age= Age group 6-10, Primary
			\|content= Geogebra has been used to create a simple interactive applet. The applet and guidance notes on how to use it with students are included with the resource.
			\|related resources= This activity was a result of the [[ORBIT/GeoGebra Competition]] that asked entrants to create an open-ended activity that supports interactive teaching and active learning.
			\|other=
			\|final=yes
			\|licence=
			\|format= Embedded GeoGebra applet and guidance notes.
			\|resources=
			* GeoGebra file:
			[[file:variety of areas with fixed perimeter.ggb]]

			* Guidance notes:
			[[file:variety of areas with fixed perimeter.doc]]


			}}




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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" />

JanetBlair: added link to other resource

2013-03-28T09:48:15Z

added link to other resource

← Older revision		Revision as of 09:48, 28 March 2013
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	'''1) Overview'''		'''1) Overview'''
	<br />		<br />
	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 [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.		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 [[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.

	<br />		<br />
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	<br />		<br />

	Ask students to record the dimensions, perimeters and areas in the table of the applet;		Ask students to record the dimensions, perimeters and areas in the table of the applet.
	Remind students that when the longer side and the shorter side are shortened and lengthened by the same amount, the perimeter is unchanged;		Remind students that when the longer side and the shorter side are shortened and lengthened by the same amount, the perimeter is unchanged.
	Guide students to visualize that the area would always be increased if the longer and shorter sides are changed by the same amount until they become equal;		Guide students to visualize that the area would always be increased if the longer and shorter sides are changed by the same amount until they become equal.
	Another way of arguing is to begin with a square and then change the longer and shorter sides by the same amount to see that the area must be decreased.		Another way of arguing is to begin with a square and then change the longer and shorter sides by the same amount to see that the area must be decreased.

JanetBlair: added guidance notes

2013-03-28T09:46:00Z

added guidance notes

← Older revision		Revision as of 09:46, 28 March 2013
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			== Guidance notes ==


			<br />
			'''1) Overview'''
			<br />
			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 [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.

			<br />
			'''2) Learning Objective'''
			<br />

			* Recognise that rectangles with same perimeters could have different areas.
			* Recognise that among all the rectangles with the same perimeters, the square has the largest area.

			<br />
			'''3) Teaching Approach'''
			<br />

			An enquiry 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.

			<br />
			'''4) Teacher’s Note'''
			<br />

			Ask students to record the dimensions, perimeters and areas in the table of the applet;
			Remind students that when the longer side and the shorter side are shortened and lengthened by the same amount, the perimeter is unchanged;
			Guide students to visualize that the area would always be increased if the longer and shorter sides are changed by the same amount until they become equal;
			Another way of arguing is to begin with a square and then change the longer and shorter sides by the same amount to see that the area must be decreased.

JanetBlair: added applet

2013-03-27T14:12:15Z

added applet

New page

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