OER in Education - User contributions [en]

ORBIT/GeoGebra

2013-02-05T14:30:34Z

TonyHoughton: /* Prizes */

=ORBIT/GeoGebra Competition NEW DEADLINE FOR SUBMISSIONS: 18th FEBRUARY 2013=
[[image:geogebralogo.jpg|250px]] 
 
Submit your primary mathematics activity for a chance to win University of Cambridge [[#Prizes|prizes & certificates]] and have your activity posted on a high profile educational website!

Members of the GeoGebra community will vote for the top 25 activities, and experts in primary maths will designate the three winners. 

==Competition Instructions==
The activity must be '''open-ended''' to some degree, supporting interactive teaching and active learning. We are looking for '''investigations that allow children (age 6-10) to explore an element of mathematics for themselves'''. 

Submitted GeoGebra files and instructions must contain: 

1) a short overview (max 200 words), 
2) brief instructions or teacher’s note (max 250 words) a short user manual including useful tips and recommendations , 
3) compulsory for teachers: list of learning objectives (max 3), 
4) compulsory for teachers: description of the underlying pedagogical/teaching approach or rationale (max 50 words) . 

For a possible layout for the teacher’s note please see the ORBIT resource at http://orbit.educ.cam.ac.uk/wiki/Consecutive_sums. 

===Submission Procedures===

1. Upload your file and notes on [http://www.geogebratube.org GeoGebraTube] (File -> Share) with the TAG: ORBITCOMP using either your GeoGebraTube, Facebook or Google password. The following screenshots will give you an idea of what to expect during this process: 

[[File:landing page screenshot.jpeg|700px|border]] 

[[File:upload page screenshot.jpeg|700px|border]] 

[[File:student information screenshot.jpeg|700px||border]] 

[[File:teacher's notes screenshot.jpeg|700px|border]] 

[[File:final comp screenshot.jpeg|700px|border]] 

2. Copy the link of your GeoGebraTube file and fill this [https://docs.google.com/spreadsheet/formResponse?formkey=dDhKX2NFRWtHallBTEpzUXQ1clQ3Snc6MQ&ifq form]. 

3. '''DEADLINE FOR SUBMISSIONS IS 31st JANUARY 2013''' 

==What is ORBIT?==
ORBIT is a [[ORBIT|new resource bank]] with a focus on interactive teaching in mathematics and science across the primary / secondary sectors, enhanced by using ICT. It is designed for a wide audience of teachers and teacher educators interested in using and sharing Open Educational Resources (OER).

We have found it difficult to source high quality GeoGebra resources for primary children, hence this competition!

The three winners of the ORBIT/GeoGebra competition (and probably some of those on the shortlist) will have their activities posted on the ORBIT wiki alongside teachers from prominent teacher education institutions.

This is a unique opportunity to have your name associated with a high profile, innovative University of Cambridge project. 

===Prizes===
1. GeoGebra T-shirt, mug and bag for the winner + a University of Cambridge/GeoGebra Certificate

2. GeoGebra T-shirt and bag for finalist number two + a University of Cambridge/GeoGebra Certificate

3. GeoGebra T-shirt and mug for finalist number three + a University of Cambridge/GeoGebra Certificate

Fame – or at least public acknowledgement! – through inclusion in the ORBIT resource bank. This is a unique opportunity to have your name associated with a high profile, innovative University of Cambridge project.

The creators of the top 25 resources will receive a University of Cambridge/GeoGebra Certificate

ORBIT/GeoGebra

2013-02-05T14:30:00Z

TonyHoughton:

=ORBIT/GeoGebra Competition NEW DEADLINE FOR SUBMISSIONS: 18th FEBRUARY 2013=
[[image:geogebralogo.jpg|250px]] 
 
Submit your primary mathematics activity for a chance to win University of Cambridge [[#Prizes|prizes & certificates]] and have your activity posted on a high profile educational website!

Members of the GeoGebra community will vote for the top 25 activities, and experts in primary maths will designate the three winners. 

==Competition Instructions==
The activity must be '''open-ended''' to some degree, supporting interactive teaching and active learning. We are looking for '''investigations that allow children (age 6-10) to explore an element of mathematics for themselves'''. 

Submitted GeoGebra files and instructions must contain: 

1) a short overview (max 200 words), 
2) brief instructions or teacher’s note (max 250 words) a short user manual including useful tips and recommendations , 
3) compulsory for teachers: list of learning objectives (max 3), 
4) compulsory for teachers: description of the underlying pedagogical/teaching approach or rationale (max 50 words) . 

For a possible layout for the teacher’s note please see the ORBIT resource at http://orbit.educ.cam.ac.uk/wiki/Consecutive_sums. 

===Submission Procedures===

1. Upload your file and notes on [http://www.geogebratube.org GeoGebraTube] (File -> Share) with the TAG: ORBITCOMP using either your GeoGebraTube, Facebook or Google password. The following screenshots will give you an idea of what to expect during this process: 

[[File:landing page screenshot.jpeg|700px|border]] 

[[File:upload page screenshot.jpeg|700px|border]] 

[[File:student information screenshot.jpeg|700px||border]] 

[[File:teacher's notes screenshot.jpeg|700px|border]] 

[[File:final comp screenshot.jpeg|700px|border]] 

2. Copy the link of your GeoGebraTube file and fill this [https://docs.google.com/spreadsheet/formResponse?formkey=dDhKX2NFRWtHallBTEpzUXQ1clQ3Snc6MQ&ifq form]. 

3. '''DEADLINE FOR SUBMISSIONS IS 31st JANUARY 2013''' 

==What is ORBIT?==
ORBIT is a [[ORBIT|new resource bank]] with a focus on interactive teaching in mathematics and science across the primary / secondary sectors, enhanced by using ICT. It is designed for a wide audience of teachers and teacher educators interested in using and sharing Open Educational Resources (OER).

We have found it difficult to source high quality GeoGebra resources for primary children, hence this competition!

The three winners of the ORBIT/GeoGebra competition (and probably some of those on the shortlist) will have their activities posted on the ORBIT wiki alongside teachers from prominent teacher education institutions.

This is a unique opportunity to have your name associated with a high profile, innovative University of Cambridge project. 

===Prizes===
1. GeoGebra T-shirt, mug and bag for the winner + a University of Cambridge/GeoGebra Certificate
2. GeoGebra T-shirt and bag for finalist number two + a University of Cambridge/GeoGebra Certificate
3. GeoGebra T-shirt and mug for finalist number three + a University of Cambridge/GeoGebra Certificate

Fame – or at least public acknowledgement! – through inclusion in the ORBIT resource bank. This is a unique opportunity to have your name associated with a high profile, innovative University of Cambridge project.

The creators of the top 25 resources will receive a University of Cambridge/GeoGebra Certificate

GeoGebraSTEM exploration day

2013-01-15T15:25:37Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|acknowledgement=This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.
|age= KS4, KS3, Secondary
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability.
|Learning Objectives= By the end of the activity students were able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
The following resources were used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

The GeoGebra STEM Exploration document describes five GeoGebra activities and descriptions produced by the students:
*[[file:Origami.ggb]]
*[[file:parabola.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]

Finally, the work produced the following GeoGebra resources, descriptions and evaluations of GeoGebra in the students' own words:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]
One student also produced an excellent document with links to GeoGebra files
*[[file:GeoGebra Software for Technology Enhanced Learning.docx]]
}}
[[Category:CCITE]]

File:GeoGebra Software for Technology Enhanced Learning.docx

2013-01-15T15:18:29Z

TonyHoughton:

GeoGebraSTEM exploration day

2013-01-15T15:17:45Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|acknowledgement=This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.
|age= KS4, KS3, Secondary
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability. In addition to responding to the technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line interaction, team-working and face-to-face presentation.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources which may be used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:parabola.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]

NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources (descriptions and GeoGebra activities) in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]
One student also produced an excellent document with links to GeoGebra files
*[[file:GeoGebra Software for Technology Enhanced Learning.docx]]
}}
[[Category:CCITE]]

File:Cubic roots.docx

2013-01-15T15:13:04Z

TonyHoughton:

Cubics

2013-01-15T15:12:08Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Cubic Equations and Their Roots}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=Cubic Equations and Their Roots
|tagline=To interactiviley explore and understand complex mathematics with GeoGebra
|image=Cubics.jpg
|topic=Statistics
|subject=Maths
|resourcenumber= M0031
|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.

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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying documentation and GeoGebra application:
*[[file:Cubic roots.docx]]
*[[file:Cubics.ggb]]
}}

File:Radioactive decay.doc

2013-01-15T15:09:06Z

TonyHoughton:

Radioactive Decay and Carbon Dating

2013-01-15T15:08:08Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data to explore exponential graphs
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0029
|age= KS4, KS3, Secondary
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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
|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 document plus accompanying GeoGebra application. It was produced by students and can be used to further stimulate new students:
*[[file:Radioactive decay.doc]]
*[[file:Radioactive decay.ggb]]

}}

GeoGebraSTEM exploration day

2013-01-15T14:56:50Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|acknowledgement=This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.
|age= KS4, KS3, Secondary
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability. In addition to responding to the technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line interaction, team-working and face-to-face presentation.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources which may be used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:parabola.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]

NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]

}}
[[Category:CCITE]]

Origami Planes

2013-01-15T14:53:40Z

TonyHoughton:

[[Category:Maths]][[Category:Primary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0030
|age= Age group 5-9, Primary
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|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.
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are three simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students.
The first is an Origami tutorial:
*[[file:Origami.ggb]]
The second shows parabolas:
*[[file:parabola.ggb]]
The third shows a plane's flight:
*[[file:Plane.ggb]]
This is accompanied by an excellent description:
*[[file:Flying Paper Planes.docx]]

}}

ORBIT/GeoGebra

2012-12-12T10:32:19Z

TonyHoughton: /* Submission Procedures */

{{draft}}

 
=ORBIT/GeoGebra Competition=
[[image:geogebralogo.jpg|250px]] 
 
Submit your primary mathematics activity for a chance to win University of Cambridge [[#Prizes|prizes & certificates]] and have your activity posted on a high profile educational website!

Members of the GeoGebra community will vote for the top 25 activities, and experts in primary maths will designate the three winners. 

==Competition Instructions==
The activity must be '''open-ended''' to some degree, supporting interactive teaching and active learning. We are looking for '''investigations that allow children (age 6-10) to explore an element of mathematics for themselves'''. 

Submitted GeoGebra files and instructions must: 

1) a short overview (max 200 words), 
2) list of learning objectives (max 3), 
3) description of the underlying pedagogical/teaching approach or rationale (max 50 words), 
4) compulsory teacher’s note (max 250 words) which provide instructions, useful tips and recommendations (submissions without teachers’ notes will not be reviewed). 

For an example of the kind of pedagogical approach and teacher’s notes required, please see the ORBIT resource at http://orbit.educ.cam.ac.uk/wiki/Consecutive_sums. 
Your notes need not be as long as those, however.

===Submission Procedures===

1. Upload your file and notes on [http://www.geogebratube.org GeoGebraTube] (File -> Share) with the TAG: ORBITCOMP using either your GeoGebraTube, Facebook or Google password. The following screenshots will give you an idea of what to expect during this process: 

[[File:landing page screenshot.jpeg|700px|border]] 

[[File:upload page screenshot.jpeg|700px|border]] 

[[File:student information screenshot.jpeg|700px||border]] 

[[File:teacher's notes screenshot.jpeg|700px|border]] 

[[File:final comp screenshot.jpeg|700px|border]] 

2. Copy the link of your GeoGebraTube file and fill this [https://docs.google.com/spreadsheet/formResponse?formkey=dDhKX2NFRWtHallBTEpzUXQ1clQ3Snc6MQ&ifq form]. 

3. '''DEADLINE FOR SUBMISSIONS IS 31st JANUARY 2013''' 

==What is ORBIT?==
ORBIT is a [[ORBIT|new resource bank]] with a focus on interactive teaching in mathematics and science across the primary / secondary sectors, enhanced by using ICT. It is designed for a wide audience of teachers and teacher educators interested in using and sharing Open Educational Resources (OER).

We have found it difficult to source high quality GeoGebra resources for primary children, hence this competition!

The three winners of the ORBIT/GeoGebra competition (and probably some of those on the shortlist) will have their activities posted on the ORBIT wiki alongside teachers from prominent teacher education institutions. 

===Prizes===
# A University of Cambridge tee-shirt, mug and bag for the winner + a University of Cambridge/GeoGebra Certificate
# A University of Cambridge tee-shirt and bag for finalist number two + a University of Cambridge/GeoGebra Certificate
# A University of Cambridge tee-shirt and mug for finalist number three + a University of Cambridge/GeoGebra Certificate

Fame – or at least public acknowledgement! – through inclusion in the ORBIT resource bank. This is a unique opportunity to have your name associated with a high profile, innovative University of Cambridge project.

The creators of the top 25 resources will receive a University of Cambridge/GeoGebra Certificate

File:Flying Paper Planes.docx

2012-12-05T10:34:55Z

TonyHoughton:

Origami Planes

2012-12-05T10:33:26Z

TonyHoughton:

[[Category:Maths]][[Category:Primary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0030
|age= Age group 5-9, Primary
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|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.
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students.
The first is an Origami tutorial:
*[[file:Origami.ggb]]
The second shows flight:
*[[file:Plane.ggb]]
This is accompanied by an excellent description:
*[[file:Flying Paper Planes.docx]]

}}

File:GeoGebra STEM Exploration.docx

2012-10-11T05:43:38Z

TonyHoughton: TonyHoughton uploaded a new version of "File:GeoGebra STEM Exploration.docx"

File:GeoGebra STEM Exploration.docx

2012-10-01T12:31:18Z

TonyHoughton: TonyHoughton uploaded a new version of "File:GeoGebra STEM Exploration.docx"

GeoGebraSTEM exploration day

2012-10-01T12:27:42Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|type= Lesson idea

|attribution={{Tony Houghton}}
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|acknowledgement=This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.
|age= KS4, KS3, Secondary
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability. In addition to responding to the technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line interaction, team-working and face-to-face presentation.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources which may be used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]

}}
[[Category:CCITE]]

CCITE

2012-09-27T15:38:28Z

TonyHoughton:

CCITE is the Cambridge Centre for Innovation in Technological Education. Following a highly successful first collaboration with ORBIT it has been decide to locate all further resource here. The resources below are the result of a collaboration between CCITE working with:

* STEM Team East - expert engagement with schools and the CREST award
* University of Cambridge Faculty of Education project ORBIT - research expertise, teacher education expertise and the ORBIT database
* GeoGebra - a world-wide community developing and using the GeoGebra software.

The project is the first CCITE* exemplar activity of a proposed three-year development of 20 such authentic learning activities covering an extended STEM curriculum for each of key stages 2 and 3. The objective is to extend technology learning through cross-curricular, ‘real life’ activities impacting on a wide audience with students, teachers and organisations working together.

{{ResourceTable| [[Category:CCITE]] }}

File:GeoGebra STEM Exploration.docx

2012-09-27T14:00:31Z

TonyHoughton: TonyHoughton uploaded a new version of "File:GeoGebra STEM Exploration.docx"

GeoGebraSTEM exploration day

2012-09-27T13:39:34Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability. In addition to responding to the technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line interaction, team-working and face-to-face presentation.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources which may be used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]

}}
[[Category:CCITE]]

File:GeoGebra STEM Exploration.docx

2012-09-26T07:22:44Z

TonyHoughton: TonyHoughton uploaded a new version of "File:GeoGebra STEM Exploration.docx"

GeoGebraSTEM exploration day/teaching approach

2012-09-26T07:12:56Z

TonyHoughton:

The half-term activity consists of 3 half-day workshops interspersed with home-working and on-line collaboration. Each workshop is part tutorial and help in GeoGebra, part development, presentation and feedback on their emerging work. The three half-day sessions become gradually less structured as students become more confident taking the initiative in developing their own work:

An initial GeoGebra tutorial session features ‘real life’ examples such as mathematical modelling(i) and visualisation(i)from photographs of patterns and structure in flowers and architecture; exercises such as “math aerobics” where students model algebraic functions kinaesthetically; and data analysis and exploration such as from astronomy (Kepler's 3rd law) and athletic performance (Usain Bolt’s 100m sprints). Realistic examples such as these, or from students’ previous work, are essential to get the ball rolling.
Following this, the onus is very much on the student’s own initiative. The focus on ‘real life’ and student ownership of ideas and project development increases student motivation.

The activity engages pupils in {{tag|group talk}}, {{tag|mathematical thinking}} and {{tag|vocabulary}}. This {{tag|open ended}} task develops {{tag|higher order}} {{tag|reasoning}}, and encourages {{tag|whole class}} {{tag|discussion}}/{{tag|questioning}} and {{tag|inquiry}} projects.

GeoGebraSTEM exploration day

2012-09-26T07:10:06Z

TonyHoughton:

GeoGebraSTEM exploration day

2012-09-25T17:24:19Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started.
Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources (Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models) which may be used to stimulate the students:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]

}}

Radioactive Decay and Carbon Dating

2012-09-25T16:51:18Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data to explore exponential graphs
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0029
|age= Secondary, KS3, KS4
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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
|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. It was produced by students and can be used to further stimulate new students:
*[[file:Radioactive decay.ggb]]

}}

File:GeoGebra STEM Exploration.docx

2012-09-25T16:46:30Z

TonyHoughton: TonyHoughton uploaded a new version of "File:GeoGebra STEM Exploration.docx"

Cubics

2012-09-25T16:26:11Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Cubic Equations and Their Roots}}
{{Rinfo
|title=Cubic Equations and Their Roots
|tagline=To interactiviley explore and understand complex mathematics with GeoGebra
|image=Cubics.jpg
|topic=Statistics
|subject=Maths
|resourcenumber= M0031
|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.

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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying GeoGebra application:
*[[file:Cubics.ggb]]
}}

GeoGebraSTEM exploration day

2012-09-25T16:23:47Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started.
Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.
|Learning Objectives= By the end of the activity students should be able to:
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
* Understand and 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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources, Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models which may be used to stimulate the students:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words:
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Origami Planes|Flying paper planes]]
*[[Cubics|Cubic Equations and Their Roots]]

}}

Cubics

2012-09-25T16:17:35Z

TonyHoughton:

[[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=Statistics
|subject=Maths
|resourcenumber= M0031
|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.

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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying GeoGebra application:
*[[file:Cubics.ggb]]
}}

GeoGebraSTEM exploration day

2012-09-25T16:14:13Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started.
Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.
|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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources, Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models which may be used to stimulate the students:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words:
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Origami Planes|Flying paper planes]]
*[[Cubics|Cubic Equations and Their Roots]]

}}

Cubics

2012-09-25T16:10:46Z

TonyHoughton:

[[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=Statistics
|subject=Maths
|resourcenumber= M0027
|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.

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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying GeoGebra application:
*[[file:Cubic.ggb]]
}}

Radioactive Decay and Carbon Dating

2012-09-25T16:09:00Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0029
|age= Secondary, KS3, KS4
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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
|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. It was produced by students and can be used to further stimulate new students:
*[[file:Radioactive decay.ggb]]

}}

Solar and Lunar Eclipse

2012-09-25T16:08:00Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Solar and Lunar Eclipse}}
{{Rinfo
|title=Solar and Lunar Eclipse
|tagline=To show and explain how a Solar and Lunar eclipse occurs
|image=Eclipse.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0028
|age= Secondary, KS3, KS4
|content= Researching and creating a simulation of an eclipse from two points of view, with sliders that enable the users to interact with the simulation.

As seen from the surface of the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon either funnels, or partially blocks, the Sun. During total eclipses, the disk of the sun is fully blocked out by the Moon. If the Moon were in a circular orbit close enough to the Earth and in the same orbital plane (path), there would be total solar eclipses every month. However the Moon's orbit is inclined at more than 5 degrees to the Earth's orbit around the Sun. Thus the Moon's shadow at a new moon usually misses the Earth. The Earth's orbit around the sun is called the ecliptic plane as the Moon's orbit must cross this plane in order for an eclipse (both solar and lunar eclipse) to occur. Furthermore the Moon's actual orbit is also elliptical, taking it far away from the Earth that its apparent size is not large enough to fully obscure the Sun. These orbital planes cross each year at a line of nodes, this results in at least 2 and up to 5 solar eclipses occurring each year, two of which will be the only total solar eclipses in that year. In the GeoGebra project I will label all the variables that will affect the eclipse, e.g the inclined angle of the Moon's orbit etc.
The target age group for this project is students that are in year seven and year eight. Projects like this one will appeal to students of this age group because at this age the students are very inquisitive and they will be interested to learn about the solar system and how eclipses occur. Further more eclipses are rear natural phenomenon thus students will be interested to learn about it and see how they can be predicted.

|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.
For GCSE year 7 science students, teachers can use it as an example or a visual aid to teach their lessons.
|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.
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= This is the accompanying GeoGebra application. It was produced by students and can be used to further stimulate new students:
*[[file:Solar eclipse.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

}}

GeoGebraSTEM exploration day

2012-09-25T16:06:04Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started.
Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.
|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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources, Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models which may be used to stimulate the students:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words:
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactivedecay|Radioactive Decay and Carbon Dating]]
*[[Origami%26planes|Flying paper planes]]
*[[Cubics|Cubic Equations and Their Roots]]

}}

GeoGebraSTEM exploration day

2012-09-25T15:45:44Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
|title=GeoGebra STEM Exploration
|tagline=Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|image=Students_shot.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started.
Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.
|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, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
Here are some resources, Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models which may be used to stimulate the students:
* [http://mathaerobics4samvedna.wikidot.com/ Math aerobics]
*[[file:Kepler' Third Law with GeoGebra.docx]]
*[[file:Kepler's Third Law.ggb]]
This is also available as a separate resource at [[Kepler' Third Law with GeoGebra]]
*[[file:Analysing Usain Bolt using GeoGebra.docx]]
*[[file:Bolt London 2012.ggb]]
This is also available as a separate resource at [[Analysing Usain Bolt using GeoGebra]]

Here are five GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]
*[[file:Cubics.ggb]]
NB: These are described in the above GeoGebra STEM Exploration document.

Finally, the work above produced the following resources in the students' own words:
*[[Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Flying paper planes]]
*[[Cubic Equations and Their Roots]]

}}

Cubics

2012-09-25T15:29:22Z

TonyHoughton:

[[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= 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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying GeoGebra application:
*[[file:Cubic.ggb]]
}}

Cubics

2012-09-25T15:25:42Z

TonyHoughton:

[[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= 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=
|other=
|final=yes
|licence=
|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.
|resources=This is the accompanying GeoGebra application:
*[[file:Cubic.ggb]]

Radioactive Decay and Carbon Dating

2012-09-25T15:15:47Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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
|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.
|resources=This is the accompanying GeoGebra application. It was produced by students and can be used to further stimulate new students:
*[[file:Radioactive decay.ggb]]

}}

Solar and Lunar Eclipse

2012-09-25T15:13:30Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Solar and Lunar Eclipse}}
{{Rinfo
|title=Solar and Lunar Eclipse
|tagline=To show and explain how a Solar and Lunar eclipse occurs
|image=Eclipse.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= Researching and creating a simulation of an eclipse from two points of view, with sliders that enable the users to interact with the simulation.

As seen from the surface of the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon either funnels, or partially blocks, the Sun. During total eclipses, the disk of the sun is fully blocked out by the Moon. If the Moon were in a circular orbit close enough to the Earth and in the same orbital plane (path), there would be total solar eclipses every month. However the Moon's orbit is inclined at more than 5 degrees to the Earth's orbit around the Sun. Thus the Moon's shadow at a new moon usually misses the Earth. The Earth's orbit around the sun is called the ecliptic plane as the Moon's orbit must cross this plane in order for an eclipse (both solar and lunar eclipse) to occur. Furthermore the Moon's actual orbit is also elliptical, taking it far away from the Earth that its apparent size is not large enough to fully obscure the Sun. These orbital planes cross each year at a line of nodes, this results in at least 2 and up to 5 solar eclipses occurring each year, two of which will be the only total solar eclipses in that year. In the GeoGebra project I will label all the variables that will affect the eclipse, e.g the inclined angle of the Moon's orbit etc.
The target age group for this project is students that are in year seven and year eight. Projects like this one will appeal to students of this age group because at this age the students are very inquisitive and they will be interested to learn about the solar system and how eclipses occur. Further more eclipses are rear natural phenomenon thus students will be interested to learn about it and see how they can be predicted.

|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.
For GCSE year 7 science students, teachers can use it as an example or a visual aid to teach their lessons.
|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.
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= This is the accompanying GeoGebra application. It was produced by students and can be used to further stimulate new students:
*[[file:Solar eclipse.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

}}

Radioactive Decay and Carbon Dating

2012-09-25T15:12:22Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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
|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.
|resources=
*[[file:Radioactive decay.ggb]]

}}

Origami Planes

2012-09-25T15:02:58Z

TonyHoughton:

[[Category:Maths]][[Category:Primary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Age group 5-9
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|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.
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students.
The first is an Origami tutorial:
*[[file:Origami.ggb]]
The second shows flight:
*[[file:Plane.ggb]]

}}

Origami Planes

2012-09-25T14:59:35Z

TonyHoughton:

[[Category:Maths]][[Category:Primary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Age group 5-9
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|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
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]

}}

Origami Planes

2012-09-25T14:58:14Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Age group 5-9
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|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
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]

}}

Origami Planes

2012-09-25T14:56:26Z

TonyHoughton:

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|title=Flying paper planes
|tagline=Very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Age group 5-9
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet shows how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies.
|related resources=This activity was a result of the a[[GeoGebra STEM Exploration]] which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two simple to use GeoGebra activities produced by the students which can be used to both understand flight and further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]

}}

Radioactive Decay and Carbon Dating/teaching approach

2012-09-25T14:00:13Z

TonyHoughton: Created page with "This lesson features a ‘real life’ example for students to explore GeoGebra. The focus on ‘real life’ increases student motivation. The activity engages pupils in gro..."

This lesson features a ‘real life’ example for students to explore GeoGebra. The focus on ‘real life’ increases student motivation.

The activity engages pupils in group talk(i), mathematical thinking(i) and vocabulary(i). This open ended(i) task encourages higher order(i) thinking, and encourages whole class(i) discussion(i)/questioning(i) and inquiry(i) projects.

Radioactive Decay and Carbon Dating

2012-09-25T13:59:57Z

TonyHoughton: Created page with "Category:MathsCategory:SecondaryCategory:ORBIT {{DISPLAYTITLE:Radioactive Decay and Carbon Dating}} {{Rinfo |title=Radioactive Decay and Carbon Dating |tagline=Usi..."

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data
|image=Radioisotopes.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|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]]
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.

}}

Origami Planes/teaching approach

2012-09-25T13:59:27Z

Origami Planes

2012-09-25T13:59:06Z

TonyHoughton: Created page with "Category:MathsCategory:SecondaryCategory:ORBIT {{DISPLAYTITLE:Flying paper planes }} {{Rinfo |title=Flying paper planes |tagline=very visual and interactive and s..."

[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Flying paper planes }}
{{Rinfo
|title=Flying paper planes
|tagline=very visual and interactive and simple to understand
|image=Flight.jpg
|topic=Visualisation
|subject=Maths
|resourcenumber= M0027
|age= Age group 5-9
|content= Geogebra has been used to produce an animated tutorial of an origami paper aeroplane). Once the plane has been made, experiments with throwing the plane show that it does not fly in a parabolic curve, as a ball would. An interactive geogebra spreadsheet to show how a ball would fall. Another geogebra spreadsheet demonstrates the flight trajectory of the plane. I have also produced a word document describing very simply, how the plane flies. I have seen how a simple idea has evolved into something much larger.

|related resources=
|other=
|final=yes
|licence=
|format= wiki page with downloadable .doc version
|resources= Here are two GeoGebra activities produced by students which can be used to further stimulate new students:
*[[file:Origami.ggb]]
*[[file:Plane.ggb]]

}}

Cubics/teaching approach

2012-09-25T13:57:32Z

Cubics

2012-09-25T13:55:30Z

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

[[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

}}