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− | Note for teachers – Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum
| + | [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 | + | Bengaluru South DIET Mathematics online course - Demonstration and hands-on Geogebra to teach BPT and Frustum |
| + | |
| + | === 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) |
| + | |
| + | === Improve display of Geogebra on your phone === |
| + | # Use in landscape mode |
| + | # Full screen our presentation |
| + | # Desktop option on phone |
| + | # If in difficulty, simply refresh the screen. |
| + | |
| + | === Session plan === |
| + | # Congruence |
| + | ## Segment, angle, triangle, quadrilateral, odd shaped figures |
| + | ## Measures of corresponding sides and angles of congruent polygons will be equal |
| + | # Similarity |
| + | ## Any circle is similar to any other circle. |
| + | ## Same holds for Square - [https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5] |
| + | ## and Equilateral Triangles and [https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy] |
| + | ## 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 - [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 the ratio of three corresponding sides are equal (SSS) |
| + | # 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) |
| + | ## 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://geogebra.org/m/nctk4smk</nowiki> |
| + | ## Logical Proof of BPT - [https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd] |
| + | |
| + | === 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 + [https://teacher-network.in/limesurvey/index.php/575443?lang=en Google form] – 10 minutes. |
| + | |
| + | === General Instructions for using the files === |
| + | # 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 move the objects to coincide with the other object, by selecting the object and using ‘drag and drop’ of your mouse/cursor. |
| + | # You can also move the object by move the red point and rotating with the yellow point on an object. |
| + | # Practice drag and drop using mouse cursor on the computer and your 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 [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 show in your class using the Geogebra on your 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. |
| + | |
| + | === Access Geogebra resources === |
| + | You can open the link in the table below on your computer or your phone |
| + | |
| + | {| class="wikitable" |
| + | |'''Particulars''' |
| + | |'''Link''' |
| + | |- |
| + | |Connect to Internet - [https://www.geogebra.org/ https://Geogebra.org] |
| + | Sign in with user id - Ganithageogebra |
| + | |
| + | Password → geogebra123 |
| + | |[https://www.geogebra.org/ https://Geogebra.org] |
| + | |- |
| + | |[https://www.geogebra.org/m/xk6upuuu Open the Geogebra file Congruence 1 (3 sets)] |
| + | |[https://www.geogebra.org/m/xk6upuuu https://geogebra.org/m/xk6upuuu] |
| + | |- |
| + | |[https://www.geogebra.org/m/dyydtqex Open the Geogebra file Congruence 2 (5 sets)] |
| + | |[https://www.geogebra.org/m/dyydtqex https://geogebra.org/m/dyydtqex] |
| + | |- |
| + | |[https://www.geogebra.org/m/tsxucse8 Open the Geogebra file Congruence 3 (Changing length)] |
| + | |[https://www.geogebra.org/m/tsxucse8 https://geogebra.org/m/tsxucse8] |
| + | |- |
| + | | |
| + | | |
| + | |- |
| + | |[https://www.geogebra.org/m/ceapgrs5 Open the Geogebra file Similarity 1 (Circles)] |
| + | |[https://www.geogebra.org/m/ceapgrs5 https://geogebra.org/m/ceapgrs5] |
| + | |- |
| + | |[https://www.geogebra.org/m/kpww6afy Open the Geogebra file Similarity 2 (Squares)] |
| + | |[https://www.geogebra.org/m/kpww6afy https://geogebra.org/m/kpww6afy] |
| + | |- |
| + | |[https://www.geogebra.org/m/jn8j4yut Open the Geogebra file Similarity 3 (Rectangles)] |
| + | |[https://www.geogebra.org/m/jn8j4yut https://geogebra.org/m/jn8j4yut] |
| + | |- |
| + | |[https://www.geogebra.org/m/kgrsaazu Open the Geogebra file Similarity 4 (Equilateral Triangles)] |
| + | |[https://www.geogebra.org/m/kgrsaazu https://geogebra.org/m/kgrsaazu] |
| + | |- |
| + | |[https://www.geogebra.org/m/mdc43fbt Open the Geogebra file Similarity 5 (Generic Triangles)] |
| + | |[https://www.geogebra.org/m/mdc43fbt https://geogebra.org/m/mdc43fbt] |
| + | |- |
| + | | |
| + | | |
| + | |- |
| + | |[https://www.geogebra.org/m/k56qc3hm Open the Geogebra file BPT 1 – Altitude of a triangle] |
| + | |[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] |
| + | |- |
| + | |[https://www.geogebra.org/m/pjdj65cd Open the Geogebra file BPT 1 – Logical proof] |
| + | |[https://www.geogebra.org/m/pjdj65cd https://geogebra.org/m/pjdj65cd] |
| + | |- |
| + | |[https://www.geogebra.org/m/ujr94b2p Surface Area and Volume of a Frustum from a Cone] |
| + | |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 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]] | | [[Category:Mathematics]] |