Kepler' Third Law with GeoGebra - Revision history

Bjoern: subjects, ages, types

2012-09-28T14:44:46Z

subjects, ages, types

← Older revision		Revision as of 14:44, 28 September 2012
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	{{DISPLAYTITLE:Kepler's Third Law}}		{{DISPLAYTITLE:Kepler's Third Law}}
	{{Rinfo		{{Rinfo
			\|type= Lesson idea

	\|attribution={{Tony Houghton}}		\|attribution={{Tony Houghton}}
	\|title=Kepler's Third Law		\|title=Kepler's Third Law
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	\|subject=Maths		\|subject=Maths
	\|resourcenumber= M0027		\|resourcenumber= M0027
	\|age= ~~Secondary~~, KS3, ~~KS4~~		\|age= KS4, KS3, Secondary
	\|content= Kepler's third law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D).		\|content= Kepler's third law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D).
	\|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.\|related resources=		\|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.\|related resources=

Bjoern: Adding attribution

2012-09-28T13:57:05Z

Adding attribution

← Older revision		Revision as of 13:57, 28 September 2012
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	{{DISPLAYTITLE:Kepler's Third Law}}		{{DISPLAYTITLE:Kepler's Third Law}}
	{{Rinfo		{{Rinfo
			\|attribution={{Tony Houghton}}
	\|title=Kepler's Third Law		\|title=Kepler's Third Law
	\|tagline=Using 'real life' data		\|tagline=Using 'real life' data

Bjoern at 11:07, 27 September 2012

2012-09-27T11:07:29Z

← Older revision		Revision as of 11:07, 27 September 2012
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	}}		}}
			[[Category:CCITE]]

TonyHoughton at 08:31, 25 September 2012

2012-09-25T08:31:47Z

← Older revision		Revision as of 08:31, 25 September 2012
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	\|resourcenumber= M0027		\|resourcenumber= M0027
	\|age= Secondary, KS3, KS4		\|age= Secondary, KS3, KS4
	\|content= Kepler's ~~thrid~~ law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D).		\|content= Kepler's third law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D).
	\|Learning Objectives= By the end of the activity students should be able to:		\|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.\|related resources=
	* develop GeoGebra mathematical applications for other users
	* understand how to ~~meet the requirements of users of varying technical confidence~~
	* enhance their perception of the importance of teamwork and communication in technological activity
	\|related resources=
	\|other=		\|other=
	\|final=yes		\|final=yes

TonyHoughton: Created page with "Category:MathsCategory:SecondaryCategory:ORBIT {{DISPLAYTITLE:Kepler's Third Law}} {{Rinfo |title=Kepler's Third Law |tagline=Using 'real life' data |image=kepler...."

2012-09-25T08:23:45Z

Created page with "Category:Maths Category:Secondary Category:ORBIT {{DISPLAYTITLE:Kepler's Third Law}} {{Rinfo |title=Kepler's Third Law |tagline=Using 'real life' data |image=kepler...."

New page

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Kepler's Third Law}}
{{Rinfo
|title=Kepler's Third Law
|tagline=Using 'real life' data
|image=kepler.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= Kepler's thrid law gives an opportunity for students to explore real world data using GeoGebra. Johannes Kepler (1571-1630) was a German astronomer who studied the motion of the planets in the solar system. Based on experimental data he proposed three “laws” – or hypotheses – about the way the planets orbit the sun. Later, Isaac Newton produced mathematical proofs of these laws under the assumption that the force of attraction between the Sun and a planet at any time is proportional to the reciprocal of the square of their distances apart at that time. His third law expresses the relationship between the period of a planet’s orbit (T) and its mean distance from the Sun (D).
|Learning Objectives= By the end of the activity students should be able to:
* develop GeoGebra mathematical applications for other users
* understand how to meet the requirements of users of varying technical confidence
* enhance their perception of the importance of teamwork and communication in technological activity
|related resources=
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= The first resource is an overall description of the activity with examples.
*[[file:Kepler' Third Law with GeoGebra.docx]]
This is the accompanying GeoGebra application:
*[[file:Kepler's Third Law.ggb]]
A table of planetary data can be found at the National Earth Science Teachers Association (USA) website: Windows To The Universe:
http://www.windows2universe.org/our_solar_system/planets_table.html
Have a look at the TI-Nspire STEM booklets (Galloway, Oldknow & Tetlow), such as “Using Real World Data” http://www.nationalstemcentre.org.uk/elibrary/resource/715/stem-activities-with-ti-nspire for other ideas for modelling using these techniques.

}}