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Module 1- Oudoors activities

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ΦΩΤΙΟΣ ΧΑΤΖΗΒΑΣΙΛΕΙΟΥ

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Learning Through Landscapes & Grounds for Learning

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MODULE 2-Activities using paper or string

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MODULE 2-Activities using paper or string

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Please subscribe and share! New videos added weekly. Do you have any lightbulb moments to share with us? Comment below. This ORIGO ONE series of videos show you how to create lightbulb moments for your students. These videos take a mathematics concept and break it into pieces that are easy to understand and only take a minute to watch.

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Make Your Own Impossible Cylinder--Mathematical Association of America's Math Horizons

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DIY your own mathematical optical illusion! Download this printable template (pdf) from the Mathematical Association of America: http://bit.ly/ImpossibleCylinder Read about the mathematics behind this illusion in "Sugihara's Impossible Cylinder" (David Richeson, Math Horizons, September 2016, pp. 18-19, http://www.maa.org/MathHorizons. Math Horizons is a publication of the Mathematical Association of America).

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3D OBJECTS                        When we revolve  a right-angled triangle  around ,we get a right cone.When we revolve a rectangle around  we get a cylinder and  we revolve a semicircle around we get a sphere.

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3D OBJECTS                        When we revolve  a right-angled triangle  around ,we get a right cone.When we revolve a rectangle around  we get a cylinder and  we revolve a semicircle around we get a sphere.

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SEQUENCES                                                                          First of all I want to teach  sequences in Math so students should know the relation between the numbers.

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SEQUENCES                                                                          First of all I want to teach  sequences in Math so students should know the relation between the numbers.

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Then we can use string to show sequences subject.

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Then we can use string to show sequences subject.

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For example first step we can use 7 string we make a shape the next step we use 12 and then we use 17 pieces of strings.(a0 =7,a1=7+5.1=12 ,a2=7+5.2=17 ).So we can get a formula a n= 7+5n This is the general term of series.Or we can use a n=5n+2 also if we take a1=5.1+2=7 .

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For example first step we can use 7 string we make a shape the next step we use 12 and then we use 17 pieces of strings.(a0 =7,a1=7+5.1=12 ,a2=7+5.2=17 ).So we can get a formula a n= 7+5n This is the general term of series.Or we can use a n=5n+2 also if we take a1=5.1+2=7 .

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We have a circle each angles show 10 degree we have total 360 degree in the below as it is seen 11 ranges and this means it shows that ,its 11*10=110 degree.

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Our aim is that ,we want to show angles in a material..if we try to show angles in a circle this material is very appropriate.For this we use a board ,36 screws and a rubber.

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 GEOGEBRA                            You can reach this task from that padlet

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 GEOGEBRA                            You can reach this task from that padlet

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https://tr.padlet.com/aysesar411/cpc76hd3vyp8

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ORIGAMI proof of the Pythagorean Theorem 

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ORIGAMI proof of the Pythagorean Theorem 

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https://youtu.be/z6lL83wl31E

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Origami Proof of the Pythagorean Theorem

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Pythagoras' Theorem and Proof

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Pythagoras' theorem and proof (cut-out demo)

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Module 3- Activities involving movement and constructions

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Module 3- Activities involving movement and constructions

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Module 3- Activities involving movement and constructions

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Module 3- Activities involving movement and constructions

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We can prove that, if an angle has the diameter this inscribed angles degree is 90.When we measure the angle we will see that, the angel is 90 degree

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Çemberde açı teoreminin ispatı (Angles within circles)

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Or we can use  this formula.a n=5n+2 also if we take
a1=5.1+2=7     a2=5.2+2=12
a3=5.3+2=17

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Drawing the three conics( ellipse, parabola and hyperbola)

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Drawing the three conics( ellipse, parabola and hyperbola)

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MathLapse: Constructions by pin-and-string: conics | Construções de fio esticado: cónicas