RIESI
543
edits
Changes
Jump to navigation
Jump to search
Line 1:
Line 1: + + Line 6:
Line 8: − + Line 13:
Line 15: − + − + − + − + − + − + − + − + − + − + Line 49:
Line 51: − + Line 61:
Line 63: − + − + + − + − + − + − + − + − + − + − + − + − + − + − + − + − + − + − + − + − + − + + + + − + − + − + − + − + + +
District Maths Teachers Workshop Feb 21 (view source)
Revision as of 09:39, 20 February 2021
, 09:39, 20 February 2021no edit summary
[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]
Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum
Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum
# Visualizing area of Frustum of a Cone (3D)
# Visualizing area of Frustum of a Cone (3D)
=== '''Improve display of Geogebra on your phone''' ===
=== Improve display of Geogebra on your phone ===
# Use in landscape mode
# Use in landscape mode
# Full screen our presentation
# Full screen our presentation
=== Session plan ===
=== Session plan ===
# Congruence – (<nowiki>https://www.geogebra.org/f/n2nstusmmc</nowiki>)
# Congruence
## Segment, angle, triangle, quadrilateral, odd shaped figures
## Segment, angle, triangle, quadrilateral, odd shaped figures
## Measures of corresponding sides and angles of congruent polygons will be equal
## Measures of corresponding sides and angles of congruent polygons will be equal
# Similarity - <nowiki>https://www.geogebra.org/f/fprxfwdmy8</nowiki>
# Similarity
## Any circle is similar to any other circle.
## Any circle is similar to any other circle.
## Same holds for Square - <nowiki>https://www.geogebra.org/m/ceapgrs5</nowiki>
## Same holds for Square - [https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5]
## and Equilateral Triangles and <nowiki>https://www.geogebra.org/m/kpww6afy</nowiki>
## and Equilateral Triangles and [https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy]
## Quadrilaterals
## Quadrilaterals
### Two quadrilaterals of the same number of sides are similar, if
### Two quadrilaterals of the same number of sides are similar, if
#### (i) their corresponding angles are equal and
#### (i) their corresponding angles are equal and
#### (ii) their corresponding sides are in the same ratio (or proportion)
#### (ii) their corresponding sides are in the same ratio (or proportion)
## Triangle - <nowiki>https://www.geogebra.org/m/mdc43fbt</nowiki>
## Triangle - [https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt]
### if all angles of one are congruent with the corresponding angles of the second (AAA)
### if all angles of one are congruent with the corresponding angles of the second (AAA)
### if the ratio of three corresponding sides are equal (SSS)
### if the ratio of three corresponding sides are equal (SSS)
# Concept of height of a triangle. <nowiki>https://www.geogebra.org/m/k56qc3hm</nowiki>
# Concept of height of a triangle. [https://www.geogebra.org/m/k56qc3hm https://geogebra.org/m/k56qc3hm]
## 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)
## 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)
## Selection of side as base can change, but area (half * base *height) does not change
## 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.
# 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>
## Draw few triangles and check that this is true – visual proof <nowiki>https://geogebra.org/m/nctk4smk</nowiki>
## Logical Proof of BPT - <nowiki>https://www.geogebra.org/m/pjdj65cd</nowiki>
## Logical Proof of BPT - [https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd]
=== Time plan ===
=== Time plan ===
# Introduction to <nowiki>http://geogebra.org</nowiki>. Enable ‘Desktop view' and 'Landscape view' on phone – 15 minutes
# 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
# 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.
# Closing way forward + [https://teacher-network.in/limesurvey/index.php/575443?lang=en Google form] – 10 minutes.
=== General Instructions for using the files ===
=== General Instructions for using the files ===
# Open Geogebra.org and login with id '''BengaluruSouth, password - geogebra123'''
# Open Geogebra.org and login with id '''Ganithageogebra, password - geogebra123'''
# You can click on the link to open the file (or folder) on your computer or phone with Internet connectivity
# You can click on the link to open the file (or folder) on your computer or phone with Internet connectivity
# You can move the objects to coincide with the other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor.
# You can move the objects to coincide with the other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor.
# When needed, move the “Slider” – Move to increase or reduce value of variable (like audio volume control)
# 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
# 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 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)
# You can install Geogebra on your computer having Microsoft Windows and also on your android phone, through Google play (Geometry app)
# 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 your computer, or if you have connectivity, directly from the website, connecting to projector.
# You can show in your class using the Geogebra on your computer, or if you have connectivity, directly from the website, connecting to projector.
|'''Link'''
|'''Link'''
|-
|-
|Connect to Internet - <nowiki>https://Geogebra.org</nowiki>
|Connect to Internet - [https://www.geogebra.org/ https://Geogebra.org]
Sign in with user id - BengaluruSouth
Sign in with user id - Ganithageogebra
Password → geogebra123
Password → geogebra123
|<nowiki>https://Geogebra.org</nowiki>
|[https://www.geogebra.org/ https://Geogebra.org]
|-
|-
|Open the Geogebra file Congruence 1 (3 sets)
|[https://www.geogebra.org/m/xk6upuuu Open the Geogebra file Congruence 1 (3 sets)]
|<nowiki>https://geogebra.org/m/xk6upuuu</nowiki>
|[https://www.geogebra.org/m/xk6upuuu https://geogebra.org/m/xk6upuuu]
|-
|-
|Open the Geogebra file Congruence 2 (5 sets)
|[https://www.geogebra.org/m/dyydtqex Open the Geogebra file Congruence 2 (5 sets)]
|<nowiki>https://geogebra.org/m/dyydtqex</nowiki>
|[https://www.geogebra.org/m/dyydtqex https://geogebra.org/m/dyydtqex]
|-
|-
|Open the Geogebra file Congruence 3 (Changing length)
|[https://www.geogebra.org/m/tsxucse8 Open the Geogebra file Congruence 3 (Changing length)]
|<nowiki>https://geogebra.org/m/tsxucse8</nowiki>
|[https://www.geogebra.org/m/tsxucse8 https://geogebra.org/m/tsxucse8]
|-
|-
|
|
|
|
|-
|-
|Open the Geogebra file Similarity 1 (Circles)
|[https://www.geogebra.org/m/ceapgrs5 Open the Geogebra file Similarity 1 (Circles)]
|<nowiki>https://geogebra.org/m/ceapgrs5</nowiki>
|[https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5]
|-
|-
|Open the Geogebra file Similarity 2 (Squares)
|[https://www.geogebra.org/m/kpww6afy Open the Geogebra file Similarity 2 (Squares)]
|<nowiki>https://geogebra.org/m/kpww6afy</nowiki>
|[https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy]
|-
|-
|Open the Geogebra file Similarity 3 (Rectangles)
|[https://www.geogebra.org/m/jn8j4yut Open the Geogebra file Similarity 3 (Rectangles)]
|<nowiki>https://geogebra.org/m/jn8j4yut</nowiki>
|[https://www.geogebra.org/m/jn8j4yut https://geogebra.org/m/jn8j4yut]
|-
|-
|Open the Geogebra file Similarity 4 (Equilateral Triangles)
|[https://www.geogebra.org/m/kgrsaazu Open the Geogebra file Similarity 4 (Equilateral Triangles)]
|<nowiki>https://geogebra.org/m/kgrsaazu</nowiki>
|[https://www.geogebra.org/m/kgrsaazu https://geogebra.org/m/kgrsaazu]
|-
|-
|Open the Geogebra file Similarity 5 (Generic Triangles)
|[https://www.geogebra.org/m/mdc43fbt Open the Geogebra file Similarity 5 (Generic Triangles)]
|<nowiki>https://geogebra.org/m/mdc43fbt</nowiki>
|[https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt]
|-
|-
|
|
|
|
|-
|-
|Open the Geogebra file BPT 1 – Altitude of a triangle
|[https://www.geogebra.org/m/k56qc3hm Open the Geogebra file BPT 1 – Altitude of a triangle]
|<nowiki>https://geogebra.org/m/k56qc3hm</nowiki>
|[https://www.geogebra.org/m/k56qc3hm https://geogebra.org/m/k56qc3hm]
|-
|[https://www.geogebra.org/m/nctk4smk Open the Geogebra file BPT 1 – Visual proof]
|[https://www.geogebra.org/m/nctk4smk https://geogebra.org/m/nctk4smk]
|-
|-
|Open the Geogebra file BPT 1 – Visual proof
|[https://www.geogebra.org/m/pjdj65cd Open the Geogebra file BPT 1 – Logical proof]
|<nowiki>https://geogebra.org/m/nctk4smk</nowiki>
|[https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd]
|-
|-
|Open the Geogebra file BPT 1 – Logical proof
|[https://www.geogebra.org/m/ujr94b2p Surface Area and Volume of a Frustum from a Cone]
|<nowiki>https://geogebra.org/m/pjdj65cd</nowiki>
|https://www.geogebra.org/m/ujr94b2p
|}
|}
'''To learn more about Geogebra visit the [https://teacher-network.in/OER/index.php/Learn_Geogebra Learn Geogebra] page'''
'''To learn more about Geogebra visit the [https://teacher-network.in/OER/index.php/Learn_Geogebra Learn Geogebra] page'''
[[Category:Mathematics]]
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]
[[Category:TCOL Phase 3]]
[[Category:TCOL Phase 3]]
[[Category:Mathematics]]