Variety of perimeters with fixed area: Difference between revisions

 

|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.

|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]]

*[[file:parabola.ggb]]

The third shows a plane's flight:

*[[file:Plane.ggb]]

After learning the concepts of perimeters and areas, it is easy for students to think that figures with larger perimeters would also have larger areas, and vice versa. This applet helps teachers to explore with students the variety of the perimeters of a figure formed by several congruent squares touching side by side. Together with the complementary applet [[Variety of areas with fixed perimeter]], teachers can clarify with students that a figure with a larger area may have a smaller perimeter, and areas and perimeters are two different concepts.

'''2) Learning Objective'''