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District Maths Teachers Workshop Feb 21 (view source)
Revision as of 13:00, 16 February 2021
, 13:00, 16 February 2021no edit summary
# 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
# 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
# Visualizing area of Frustum of a Cone (3D)
# Visualizing area of Frustum of a Cone (3D)
= Session plan =
# Congruence – (<nowiki>https://www.geogebra.org/f/n2nstusmmc</nowiki>)
## Segment, angle, triangle, quadrilateral, odd shaped figures
## Measures of corresponding sides and angles of congruent polygons will be equal
# Similarity - <nowiki>https://www.geogebra.org/f/fprxfwdmy8</nowiki>
## Any circle is similar to any other circle. Same holds for Square and Equilateral Triangles <nowiki>https://www.geogebra.org/m/ceapgrs5</nowiki> and <nowiki>https://www.geogebra.org/m/kpww6afy</nowiki>
## Quadrilaterals
### Two quadrilaterals of the same number of sides are similar, if
#### (i) their corresponding angles are equal and
#### (ii) their corresponding sides are in the same ratio (or proportion)
## Triangle - <nowiki>https://www.geogebra.org/m/mdc43fbt</nowiki>
### if all angles of one are congruent with the corresponding angles of the second (AAA)
### if ratio of three corresponding sides are equal (SSS)
# Concept of height of a triangle. <nowiki>https://www.geogebra.org/m/k56qc3hm</nowiki>
## 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)
## Selection of side as base can change, but area (half * base *height) does not change
# 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.
## Draw few triangles and check that this is true – visual proof <nowiki>https://www.geogebra.org/m/nctk4smk</nowiki>
## Logical Proof of BPT - <nowiki>https://www.geogebra.org/m/pjdj65cd</nowiki>
= Time plan =
# Introduction to <nowiki>http://geogebra.org</nowiki> . Enable ‘desktop view and Landscape view on phone – 15 minutes
# Demo and hands-on - Congruence – 15 minutes, Similarity 20 minutes. BPT 20 minutes. Frustum of Cone – 10 minutes
# Closing way forward + Google form – 10 minutes.
= General Instructions for using the files =
# Open Geogebra.org and login with id '''BengaluruSouth, password - geogebra123'''
# You can click on link to open the file (or folder) on your computer or phone with Internet connectivity
# You can move the objects to coincide with other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor.
# You can also move object by move the red point and rotating with the yellow point on an object.
# Practice drag and drop using mouse cursor on computer and you finger on your phone.
# Use the file in the sequence of “check boxes” (Tick mark off/ on)
# Check box – click on it to ON. Click again to OFF
# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)
# Uncheck a check box when not needed or to reduce information on the screen
# You can download the file to your own computer, see the steps given in video <nowiki>https://youtu.be/ECFKjQXT6IE</nowiki> (see from 1.40 to 2.00 minutes)
# You can install Geogebra on your computer having Microsoft Windows and also on your android phone, through Google play (Geometry app)
# You can show in your class using the Geogebra on you computer, or if you have connectivity, directly from the website, connecting to projector.
# Students can also see and play with these files on their own phone or using the computer lab.
[[Category:Mathematics]]
[[Category:Mathematics]]
[[Category:TCOL Phase 3]]
[[Category:TCOL Phase 3]]