Cubics - Revision history

TonyHoughton at 15:12, 15 January 2013

2013-01-15T15:12:08Z

← Older revision		Revision as of 15:12, 15 January 2013
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	\|format= wiki page with downloadable .doc version		\|format= wiki page with downloadable .doc version
	\|related resources=This activity was a result of the [[GeoGebraSTEM exploration day]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.		\|related resources=This activity was a result of the [[GeoGebraSTEM exploration day]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
	\|resources=This is the accompanying GeoGebra application:		\|resources=This is the accompanying documentation and GeoGebra application:
			*[[file:Cubic roots.docx]]
	*[[file:Cubics.ggb]]		*[[file:Cubics.ggb]]
	}}		}}

Bjoern: subjects, ages, types

2012-09-28T14:38:19Z

subjects, ages, types

← Older revision		Revision as of 14:38, 28 September 2012
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	{{DISPLAYTITLE:Cubic Equations and Their Roots}}		{{DISPLAYTITLE:Cubic Equations and Their Roots}}
	{{Rinfo		{{Rinfo
			\|type= Lesson idea

	\|attribution={{Tony Houghton}}		\|attribution={{Tony Houghton}}
	\|title=Cubic Equations and Their Roots		\|title=Cubic Equations and Their Roots
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	\|subject=Maths		\|subject=Maths
	\|resourcenumber= M0031		\|resourcenumber= M0031
	\|age= ~~Secondary~~, KS3, ~~KS4~~		\|age= KS4, KS3, Secondary
	\|content= This activity is explore cubic equations and their complex roots, to use Geogebra to find the solution to any cubic equation, given its coefficients, and plot the real and complex roots on an Argand diagram so that as the user changed the coefficients, they could see how that affected the roots of the cubic equation.		\|content= This activity is explore cubic equations and their complex roots, to use Geogebra to find the solution to any cubic equation, given its coefficients, and plot the real and complex roots on an Argand diagram so that as the user changed the coefficients, they could see how that affected the roots of the cubic equation.

Bjoern: Adding attribution

2012-09-28T13:51:46Z

Adding attribution

← Older revision		Revision as of 13:51, 28 September 2012
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	{{DISPLAYTITLE:Cubic Equations and Their Roots}}		{{DISPLAYTITLE:Cubic Equations and Their Roots}}
	{{Rinfo		{{Rinfo
			\|attribution={{Tony Houghton}}
	\|title=Cubic Equations and Their Roots		\|title=Cubic Equations and Their Roots
	\|tagline=To interactiviley explore and understand complex mathematics with GeoGebra		\|tagline=To interactiviley explore and understand complex mathematics with GeoGebra

TonyHoughton at 16:26, 25 September 2012

2012-09-25T16:26:11Z

← Older revision		Revision as of 16:26, 25 September 2012
Line 3:		Line 3:
	{{Rinfo		{{Rinfo
	\|title=Cubic Equations and Their Roots		\|title=Cubic Equations and Their Roots
	\|tagline=~~Using 'real life' data~~		\|tagline=To interactiviley explore and understand complex mathematics with GeoGebra
	\|image=Cubics.jpg		\|image=Cubics.jpg
	\|topic=Statistics		\|topic=Statistics

TonyHoughton at 16:17, 25 September 2012

2012-09-25T16:17:35Z

← Older revision		Revision as of 16:17, 25 September 2012
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	\|tagline=Using 'real life' data		\|tagline=Using 'real life' data
	\|image=Cubics.jpg		\|image=Cubics.jpg
	\|topic=Statistics~~, visualisation~~		\|topic=Statistics
	\|subject=Maths		\|subject=Maths
	\|resourcenumber= M0031		\|resourcenumber= M0031
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	\|related resources=This activity was a result of the [[GeoGebraSTEM exploration day]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.		\|related resources=This activity was a result of the [[GeoGebraSTEM exploration day]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
	\|resources=This is the accompanying GeoGebra application:		\|resources=This is the accompanying GeoGebra application:
	*[[file:~~Cubic~~.ggb]]		*[[file:Cubics.ggb]]
	}}		}}

SimonKnight at 16:12, 25 September 2012

2012-09-25T16:12:34Z

← Older revision		Revision as of 16:12, 25 September 2012
Line 5:		Line 5:
	\|tagline=Using 'real life' data		\|tagline=Using 'real life' data
	\|image=Cubics.jpg		\|image=Cubics.jpg
	\|topic=Statistics		\|topic=Statistics, visualisation
	\|subject=Maths		\|subject=Maths
	\|resourcenumber= ~~M0027~~		\|resourcenumber= M0031
	\|age= Secondary, KS3, KS4		\|age= Secondary, KS3, KS4
	\|content= This activity is explore cubic equations and their complex roots, to use Geogebra to find the solution to any cubic equation, given its coefficients, and plot the real and complex roots on an Argand diagram so that as the user changed the coefficients, they could see how that affected the roots of the cubic equation.		\|content= This activity is explore cubic equations and their complex roots, to use Geogebra to find the solution to any cubic equation, given its coefficients, and plot the real and complex roots on an Argand diagram so that as the user changed the coefficients, they could see how that affected the roots of the cubic equation.
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	The potential age group is for Lower 6th students who are interested and want to learn something outside of their syllabus, and for Upper 6th students for whom it may be relevant to their studies on complex numbers and the relationships between roots of equations. I think my project would appeal to them as it is expanding on the syllabus that is taught		The potential age group is for Lower 6th students who are interested and want to learn something outside of their syllabus, and for Upper 6th students for whom it may be relevant to their studies on complex numbers and the relationships between roots of equations. I think my project would appeal to them as it is expanding on the syllabus that is taught

	\|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=
	\|other=		\|other=
	\|final=yes		\|final=yes
	\|licence=		\|licence=
	\|format= wiki page with downloadable .doc version		\|format= wiki page with downloadable .doc version
	\|related resources=This activity was a result of the [[~~GeoGebraSTEM_exploration_day\|GeoGebra STEM Exploration~~]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.		\|related resources=This activity was a result of the [[GeoGebraSTEM exploration day]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
	\|resources=This is the accompanying GeoGebra application:		\|resources=This is the accompanying GeoGebra application:
	*[[file:Cubic.ggb]]		*[[file:Cubic.ggb]]
	}}		}}

TonyHoughton at 16:10, 25 September 2012

2012-09-25T16:10:46Z

← Older revision		Revision as of 16:10, 25 September 2012
Line 5:		Line 5:
	\|tagline=Using 'real life' data		\|tagline=Using 'real life' data
	\|image=Cubics.jpg		\|image=Cubics.jpg
	\|topic=~~Visualisation,~~ Statistics		\|topic=Statistics
	\|subject=Maths		\|subject=Maths
	\|resourcenumber= M0027		\|resourcenumber= M0027
Line 18:		Line 18:
	\|licence=		\|licence=
	\|format= wiki page with downloadable .doc version		\|format= wiki page with downloadable .doc version
	\|related resources=This activity was a result of the [[GeoGebra STEM Exploration]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.		\|related resources=This activity was a result of the [[GeoGebraSTEM_exploration_day\|GeoGebra STEM Exploration]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
	\|resources=This is the accompanying GeoGebra application:		\|resources=This is the accompanying GeoGebra application:
	*[[file:Cubic.ggb]]		*[[file:Cubic.ggb]]
	}}		}}

TonyHoughton at 15:29, 25 September 2012

2012-09-25T15:29:22Z

← Older revision		Revision as of 15:29, 25 September 2012
Line 21:		Line 21:
	\|resources=This is the accompanying GeoGebra application:		\|resources=This is the accompanying GeoGebra application:
	*[[file:Cubic.ggb]]		*[[file:Cubic.ggb]]
			}}

TonyHoughton at 15:25, 25 September 2012

2012-09-25T15:25:42Z

← Older revision		Revision as of 15:25, 25 September 2012
Line 9:		Line 9:
	\|resourcenumber= M0027		\|resourcenumber= M0027
	\|age= Secondary, KS3, KS4		\|age= Secondary, KS3, KS4
	\|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= This activity is explore cubic equations and their complex roots, to use Geogebra to find the solution to any cubic equation, given its coefficients, and plot the real and complex roots on an Argand diagram so that as the user changed the coefficients, they could see how that affected the roots of the cubic equation.

			The potential age group is for Lower 6th students who are interested and want to learn something outside of their syllabus, and for Upper 6th students for whom it may be relevant to their studies on complex numbers and the relationships between roots of equations. I think my project would appeal to them as it is expanding on the syllabus that is taught

	\|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=
	\|other=		\|other=
Line 15:		Line 18:
	\|licence=		\|licence=
	\|format= wiki page with downloadable .doc version		\|format= wiki page with downloadable .doc version
	\|resources= ~~The first resource is an overall description~~ of the ~~activity with examples.~~		\|related resources=This activity was a result of the [[GeoGebra STEM Exploration]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
	*[[~~file:Kepler~~' ~~Third Law with~~ GeoGebra.~~docx]]~~		\|resources=This is the accompanying GeoGebra application:
	This is the accompanying GeoGebra application:		*[[file:Cubic.ggb]]
	*[[file:~~Kepler's Third Law~~.ggb]]

	~~http://mathworld.wolfram.com/CubicEquation.html~~
	~~http://en.wikipedia.org/wiki/Cubic_function~~

	}}

TonyHoughton: Created page with "Category:MathsCategory:SecondaryCategory:ORBIT {{DISPLAYTITLE:Cubic Equations and Their Roots}} {{Rinfo |title=Cubic Equations and Their Roots |tagline=Using 'real..."

2012-09-25T13:55:30Z

Created page with "Category:Maths Category:Secondary Category:ORBIT {{DISPLAYTITLE:Cubic Equations and Their Roots}} {{Rinfo |title=Cubic Equations and Their Roots |tagline=Using 'real..."

New page

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Cubic Equations and Their Roots}}
{{Rinfo
|title=Cubic Equations and Their Roots
|tagline=Using 'real life' data
|image=Cubics.jpg
|topic=Visualisation, Statistics
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|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=
|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]]

http://mathworld.wolfram.com/CubicEquation.html
http://en.wikipedia.org/wiki/Cubic_function

}}