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District Maths Teachers Workshop Feb 21 (view source)

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Note for teachers – Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum
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[https://karnatakaeducation.org.in/KOER/index.php/%E0%B2%9C%E0%B2%BF%E0%B2%B2%E0%B3%8D%E0%B2%B2%E0%B2%BE_%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4_%E0%B2%B6%E0%B2%BF%E0%B2%95%E0%B3%8D%E0%B2%B7%E0%B2%95%E0%B2%B0_%E0%B2%95%E0%B2%BE%E0%B2%B0%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%97%E0%B2%BE%E0%B2%B0_%E0%B2%AB%E0%B3%86%E0%B2%AC%E0%B3%8D%E0%B2%B0%E0%B2%B5%E0%B2%B0%E0%B2%BF_21?veaction=edit ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]
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Objectives
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Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum
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=== Objectives of workshop ===
 
# Familiarity with idea of congruence, similarity and  similar triangles
 
# Familiarity with idea of congruence, similarity and  similar triangles
 
# 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)
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=== Improve display of Geogebra on your phone ===
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# Use in landscape mode
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# Full screen our presentation
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# Desktop option on phone
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# If in difficulty, simply refresh the screen.
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=== Session plan ===
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# Congruence
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## Segment, angle, triangle, quadrilateral, odd shaped figures
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## Measures of corresponding sides and angles of congruent polygons will be equal
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# Similarity
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## Any circle is similar to any other circle.
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## Same holds for Square - [https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5]
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## and Equilateral Triangles  and [https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy]
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## Quadrilaterals
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### Two quadrilaterals of the same number of sides are similar, if
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#### (i) their corresponding angles are equal and
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#### (ii) their corresponding sides are in the same ratio (or proportion)
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## Triangle - [https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt]
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### if all angles of one are congruent with the corresponding angles of the second (AAA)
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### if the ratio of three corresponding sides are equal (SSS)
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# Concept of height of a triangle. [https://www.geogebra.org/m/k56qc3hm https://geogebra.org/m/k56qc3hm]
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## The 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)
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## Selection of side as base can change, but area (half * base *height) does not change
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# 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.
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## Draw few triangles and check that  this is true – visual proof  <nowiki>https://geogebra.org/m/nctk4smk</nowiki>
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## Logical Proof of BPT - [https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd]
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=== Time plan ===
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# Introduction to <nowiki>http://geogebra.org</nowiki>. Enable ‘Desktop view' and 'Landscape view' on phone – 15 minutes
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# Demo and hands-on -  Congruence – 15 minutes, Similarity 20 minutes. BPT 20 minutes. Frustum of Cone – 10 minutes
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# Closing  way forward + [https://teacher-network.in/limesurvey/index.php/575443?lang=en Google form] – 10 minutes.
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=== General Instructions for using the files ===
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# Open Geogebra.org and login with id  '''Ganithageogebra,  password - geogebra123'''
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# You can click on the link to open the file (or folder) on your computer or phone with Internet connectivity
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# You can move the objects to coincide with the other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor.
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# You can also move the object by move the red point and rotating  with the yellow point on an object.
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# Practice drag and drop using mouse cursor on the computer and your finger on your phone.
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# Use the file in the sequence of “check boxes” (Tick  mark off/ on)
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# Check box – click on it to ON. Click again to OFF
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# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)
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# Uncheck a check-box when not needed or to reduce information on the screen
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# You can download the file to your own computer, see the steps given in video [https://www.youtube.com/watch?v=ECFKjQXT6IE&feature=youtu.be https://youtu.be/ECFKjQXT6IE] (see from 1.40 to 2.00 minutes)
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# You can install Geogebra on your computer having Microsoft Windows and also on your android phone, through Google play (Geometry app)
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# You can show in your class using the Geogebra  on your computer, or if you have connectivity, directly from the website, connecting to projector.
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# Students can also see and play with these files on their own phone or using the computer lab.
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=== Access Geogebra resources ===
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You can open the link in the table below on your computer  or your phone
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{| class="wikitable"
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|'''Particulars'''
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|'''Link'''
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|-
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|Connect to Internet -  [https://www.geogebra.org/ https://Geogebra.org]
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Sign in with user  id -  Ganithageogebra
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Password →  geogebra123
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|[https://www.geogebra.org/ https://Geogebra.org]
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|-
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|[https://www.geogebra.org/m/xk6upuuu Open the Geogebra file Congruence 1 (3 sets)]
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|[https://www.geogebra.org/m/xk6upuuu https://geogebra.org/m/xk6upuuu]
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|-
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|[https://www.geogebra.org/m/dyydtqex Open the Geogebra file Congruence 2 (5 sets)]
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|[https://www.geogebra.org/m/dyydtqex https://geogebra.org/m/dyydtqex]
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|-
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|[https://www.geogebra.org/m/tsxucse8 Open the Geogebra file Congruence 3 (Changing length)]
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|[https://www.geogebra.org/m/tsxucse8 https://geogebra.org/m/tsxucse8]
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|-
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|
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|
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|-
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|[https://www.geogebra.org/m/ceapgrs5 Open the Geogebra file Similarity 1 (Circles)]
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|[https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5]
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|-
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|[https://www.geogebra.org/m/kpww6afy Open the Geogebra file Similarity 2 (Squares)]
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|[https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy]
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|-
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|[https://www.geogebra.org/m/jn8j4yut Open the Geogebra file Similarity 3 (Rectangles)]
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|[https://www.geogebra.org/m/jn8j4yut https://geogebra.org/m/jn8j4yut]
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|-
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|[https://www.geogebra.org/m/kgrsaazu Open the Geogebra file Similarity 4 (Equilateral Triangles)]
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|[https://www.geogebra.org/m/kgrsaazu https://geogebra.org/m/kgrsaazu]
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|-
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|[https://www.geogebra.org/m/mdc43fbt Open the Geogebra file Similarity 5 (Generic Triangles)]
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|[https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt]
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|-
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|
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|
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|-
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|[https://www.geogebra.org/m/k56qc3hm Open the Geogebra file BPT 1 – Altitude of a triangle]
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|[https://www.geogebra.org/m/k56qc3hm https://geogebra.org/m/k56qc3hm]
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|-
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|[https://www.geogebra.org/m/nctk4smk Open the Geogebra file BPT 1 – Visual proof]
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|[https://www.geogebra.org/m/nctk4smk https://geogebra.org/m/nctk4smk]
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|-
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|[https://www.geogebra.org/m/pjdj65cd Open the Geogebra file BPT 1 – Logical proof]
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|[https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd]
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|-
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|[https://www.geogebra.org/m/ujr94b2p Surface Area and Volume of a Frustum from a Cone]
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|https://www.geogebra.org/m/ujr94b2p
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|}
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'''To learn more about Geogebra visit the [https://teacher-network.in/OER/index.php/Learn_Geogebra Learn Geogebra] page'''
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To Download this page [https://karnatakaeducation.org.in/KOER/en/images/a/a7/District_Maths_Teachers_Workshop_Feb_21_-_Karnataka_Open_Educational_Resources.pdf click here]
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[[Category:TCOL Phase 3]]
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
Harish
RIESI
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