OER4Schools/Exploring polygons - Revision history

Bjoern: /* ICT activity exploring polygons with Geogebra */

2013-11-11T21:07:26Z

ICT activity exploring polygons with Geogebra

← Older revision		Revision as of 21:07, 11 November 2013
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	{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:		{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:

	{{Video/~~get_page_from_youtube_id\|src=tyFsAykHkTU~~}}		{{:Video/Simple Polygons in Geogebra.mp4}}

	When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including		When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including

Bjoern at 21:07, 11 November 2013

2013-11-11T21:07:02Z

← Older revision		Revision as of 21:07, 11 November 2013
Line 5:		Line 5:
	{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:		{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:

	{{:Video/~~Simple_Polygons_in_GeoGebra.mp4~~\|src=tyFsAykHkTU}}		{{Video/get_page_from_youtube_id\|src=tyFsAykHkTU}}

	When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including		When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including

Bjoern: /* ICT activity exploring polygons with Geogebra */

2013-11-11T21:06:32Z

ICT activity exploring polygons with Geogebra

← Older revision		Revision as of 21:06, 11 November 2013
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	{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:		{{activity\|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:

	{{~~video~~\|src=tyFsAykHkTU~~\|title=Simple Polygons in GeoGebra\|name=Simple_Polygons_in_GeoGebra.mp4~~}}		{{:Video/Simple_Polygons_in_GeoGebra.mp4\|src=tyFsAykHkTU}}

	When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including		When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including

Bjoern at 11:05, 16 July 2012

2012-07-16T11:05:50Z

← Older revision		Revision as of 11:05, 16 July 2012
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	{{video\|src=tyFsAykHkTU\|title=Simple Polygons in GeoGebra\|name=Simple_Polygons_in_GeoGebra.mp4}}		{{video\|src=tyFsAykHkTU\|title=Simple Polygons in GeoGebra\|name=Simple_Polygons_in_GeoGebra.mp4}}

	When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points ~~("vertices")~~, or whether you can move vertices (the points where sides meet), to make other polygons, including		When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points, or whether you can move vertices (the points where sides meet), to make other polygons, including
	* polygons where some of the sides cross (“self-intersecting” or “complex” polygons),		* polygons where some of the sides cross (“self-intersecting” or “complex” polygons),
	* polygons where the sides do not cross (“simple” polygons),		* polygons where the sides do not cross (“simple” polygons),

Bjoern at 11:05, 16 July 2012

2012-07-16T11:05:26Z

← Older revision		Revision as of 11:05, 16 July 2012
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	{{video\|src=tyFsAykHkTU\|title=Simple Polygons in GeoGebra\|name=Simple_Polygons_in_GeoGebra.mp4}}		{{video\|src=tyFsAykHkTU\|title=Simple Polygons in GeoGebra\|name=Simple_Polygons_in_GeoGebra.mp4}}

	When you have drawn some polygons, see ~~how~~ you can move vertices (the points where sides meet), to make other ~~polygones~~, including		When you have drawn some polygons, see whether you can draw some "crazy" polygons with lots of points ("vertices"), or whether you can move vertices (the points where sides meet), to make other polygons, including
	* polygons where some of the sides cross (“self-intersecting” or “complex” polygons),		* polygons where some of the sides cross (“self-intersecting” or “complex” polygons),
	* polygons where the sides do not cross (“simple” polygons),		* polygons where the sides do not cross (“simple” polygons),

Bjoern at 10:03, 16 July 2012

2012-07-16T10:03:21Z

← Older revision		Revision as of 10:03, 16 July 2012
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	When you have drawn some polygons, see how you can move vertices (the points where sides meet), to make other polygones, including		When you have drawn some polygons, see how you can move vertices (the points where sides meet), to make other polygones, including
	* polygons where some of the sides cross (“self-intersecting” or “complex” polygons)		* polygons where some of the sides cross (“self-intersecting” or “complex” polygons),
	* polygons where the sides do not cross (“simple” polygons)		* polygons where the sides do not cross (“simple” polygons),
	* polygons where some angles or sides are the same		* polygons where some angles or sides are the same.

	{{ednote\|text=		{{ednote\|text=

Bjoern at 10:01, 16 July 2012

2012-07-16T10:01:29Z

← Older revision		Revision as of 10:01, 16 July 2012
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	= ICT activity exploring polygons with Geogebra =		= ICT activity exploring polygons with Geogebra =


	~~{{ednote\|text=~~
	~~If there is not enough time for this activity, move straight on to the discussion below.~~
	}}

	As we mentioned above, the upcoming unit is on enquiry-based learning, and will feature a number of ideas for extended project work. In this section, we are looking at Geogebra, an application that is well suited to support interactive mathematics applications. We first explore the use of Geogebra to draw polygons.		As we mentioned above, the upcoming unit is on enquiry-based learning, and will feature a number of ideas for extended project work. In this section, we are looking at Geogebra, an application that is well suited to support interactive mathematics applications. We first explore the use of Geogebra to draw polygons.

Bjoern: Created page with "= ICT activity exploring polygons with Geogebra = {{ednote|text= If there is not enough time for this activity, move straight on to the discussion below. }} As we mentioned..."

2012-07-16T09:57:06Z

Created page with "= ICT activity exploring polygons with Geogebra = {{ednote|text= If there is not enough time for this activity, move straight on to the discussion below. }} As we mentioned..."

New page

= ICT activity exploring polygons with Geogebra =

{{ednote|text=
If there is not enough time for this activity, move straight on to the discussion below.
}}

As we mentioned above, the upcoming unit is on enquiry-based learning, and will feature a number of ideas for extended project work. In this section, we are looking at Geogebra, an application that is well suited to support interactive mathematics applications. We first explore the use of Geogebra to draw polygons.

{{activity|Working in pairs with a laptop}} Start up a laptop and log in. Locate and start the Geogebra application. Draw some polygons. If you need help, watch the following video:

{{video|src=tyFsAykHkTU|title=Simple Polygons in GeoGebra|name=Simple_Polygons_in_GeoGebra.mp4}}

When you have drawn some polygons, see how you can move vertices (the points where sides meet), to make other polygones, including
* polygons where some of the sides cross (“self-intersecting” or “complex” polygons)
* polygons where the sides do not cross (“simple” polygons)
* polygons where some angles or sides are the same

{{ednote|text=
You need to be watching the time, as this activity is very extensible. For further ideas, you could have a look at the [http://en.wikipedia.org/wiki/Polygon Wikipedia article on polygons]. You could also have a look at the
[http://www.nationalstemcentre.org.uk/elibrary/resource/3305/shape-and-space Shape and Space collection at the UK National STEM centre]. In particular at these two documents
* http://www.nationalstemcentre.org.uk/elibrary/file/9892/mm_shape_space_06.pdf
* http://www.nationalstemcentre.org.uk/elibrary/file/9898/mm_shape_space_12.pdf
have got some interesting questions in them, which you could use, including questions for developing your mathematical vocabulary (such as: “This shape has a right
angle.”, “This shape has four vertices.”) as well as some talking points, such as
* If you cut a rectangle in half, the perimeter will be half its original length.
* A square and a rectangle both have the same perimeter. The square has the greater area.
* Draw two rectangles. The one with the greater area will also have the greater perimeter.
We will explore ideas like these further in the unit on enquiry.
}}