District Maths Teachers Workshop Feb 21

Objectives

 * 1) Familiarity with idea of congruence, similarity and  similar triangles
 * 2) Visualizing  BPT - If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Logical proof of  BPT
 * 3) Visualizing area of Frustum of a Cone (3D)

= Session plan =
 * 1) Congruence –	( https://www.geogebra.org/f/n2nstusmmc )
 * 2) Segment, angle, triangle, quadrilateral, odd shaped figures
 * 3) Measures of corresponding sides and angles of congruent polygons		will be equal
 * 4) Similarity -	 https://www.geogebra.org/f/fprxfwdmy8
 * 5) Any circle is similar to any		other circle. Same holds for Square and Equilateral Triangles		 https://www.geogebra.org/m/ceapgrs5 		and		 https://www.geogebra.org/m/kpww6afy
 * 6) Quadrilaterals
 * 7) Two quadrilaterals of the same			number of sides are similar, if
 * 8) (i) their corresponding angles				are equal and
 * 9) (ii) their corresponding sides				are in the same ratio (or proportion)
 * 10) Triangle		- https://www.geogebra.org/m/mdc43fbt
 * 11) if all angles of one are congruent with the corresponding angles			of the second (AAA)
 * 12) if ratio of three corresponding sides are equal (SSS)
 * 13) Concept of height of a triangle.	 https://www.geogebra.org/m/k56qc3hm
 * 14) Height of a triangle will be		inside the triangle (acute angled triangle), outside the triangle		(obtuse angled triangle) and on the side of the triangle (right		triangle)
 * 15) Selection of side as base can		change, but area (half * base *height) does not change
 * 16) BPT - If a line is drawn parallel	to one side of a triangle to intersect the other two sides in	distinct points, the other two sides are divided in the same ratio.
 * 17) Draw few triangles and check that		 this is true – visual proof  https://www.geogebra.org/m/nctk4smk
 * 18) Logical Proof of BPT -		 https://www.geogebra.org/m/pjdj65cd

= Time plan =
 * 1) Introduction to	 http://geogebra.org 	. Enable ‘desktop view	and Landscape view on phone – 15 minutes
 * 2) Demo and hands-on -  Congruence – 15 minutes, Similarity 20	minutes. BPT 20 minutes. Frustum of Cone – 10 minutes
 * 3) Closing  way forward + Google form – 10 minutes.

= General Instructions for using the files =
 * 1) Open Geogebra.org and login with id   BengaluruSouth,  password -	geogebra123
 * 2) You can click on link to open the file (or folder) on your computer	or phone with Internet connectivity
 * 3) You can move the objects to coincide with other object, by selecting	the object and using ‘drag and drop’ of your mouse/cursor.
 * 4) You can also move object by move the red point and rotating  with	the yellow point on an object.
 * 5) Practice drag and drop using mouse cursor on computer  and you	finger on your phone.
 * 6) Use the file in the sequence of “check boxes” (Tick  mark off/	on)
 * 7) Check box – click on it to ON. Click again to OFF
 * 8) When needed, move the “Slider” – Move to increase or reduce	value of variable (like audio volume control)
 * 9) Uncheck a check box when not needed or to reduce information on the	screen
 * 10) You can download the file to your own computer, see the steps given	in video https://youtu.be/ECFKjQXT6IE 	 (see from 1.40 to 2.00 minutes)
 * 11) You can install Geogebra on your computer having Microsoft	Windows and also on your android phone, through Google play	(Geometry app)
 * 12) You can show in your class using the Geogebra  on you computer, or	if you have connectivity, directly from the website, connecting to	projector.
 * 13) Students can also see and play with these files on their own phone	or using the computer lab.