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| Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template | | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template |
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− | == Enrichment Activities ==
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− | === Activity 2 Similar Triangles ===
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− | '''Learning Objective'''
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− | To show similar planar
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− | figures, discuss congruence and properties of congruent/ similar
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− | triangles
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− | ==== Material and Resources Required ====
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− | Blackboard
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− | Geogebra files +
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− | projector
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− | Calculator
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− | '''[[Pre-requisites/Instructions]] '''
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− | * Planar figures and triangles
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− | * Draw pairs of figures on the board [ both similar and dissimilar]; they can identify overlap of congruent figures
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− | * Ask the children to identify
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− | * If the children know the names of the theorem, ask them to explain- ask them what is SSS, AAA, ASA
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− | * Show ratio and give the idea of proportionality
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− | * Geogebra files. When I change the sides/ proportion, the triangles change in size. But the proportion remains the same, angle remains the same
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− | * With calculator they verify proportion (this is very very useful for involving the whole class) they all can see the proportion remains constant though the size changes
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− | * Show the arithmetic behind the proportion
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− | ==== Evaluation ====
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− | [Activity evaluation -
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− | What should the teacher watch for when you do the activity; based on
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− | what they know change]
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− | * Confusion between congruence and similarity
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− | * When they give the theorem, if they cannot identify included side and angle
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− | * When there is a wrong answer, identify what is the source of the confusion – sides, ratio and proportion
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− | * Direct substitution
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− | == Evaluation ==
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− | == Self-Evaluation ==
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− | == Further Explorations ==
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− | == Enrichment Activities ==
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− | = Pythagorean Theorem =
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− | Pythagoras' Theorem was discovered by
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− | Pythagoras, a Greek mathematician and philosopher who lived
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− | between approximately 569 BC and 500 BC.
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− | Pythagoras'
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− | Theorem states that:
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− | In
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− | any right-angled triangle, the square of the hypotenuse is equal
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− | to the sum of the squares of the other two sides. That is:
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− | [[Image:KOER%20Triangles_html_m2f096af4.png]]
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− | [[Image:KOER%20Triangles_html_4bd439df.png]]
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− | '''Pythagoras' Theorem in
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− | Three Dimensions'''
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− | A
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− | length, width and height.
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− | [[Image:KOER%20Triangles_html_679fe2f6.png]][[Image:KOER%20Triangles_html_m570261d2.png]]
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− | We
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− | can use Pythagoras' Theorem to find the length of the longest
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− | straw that will fit inside
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− | the
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− | == Evaluation ==
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− | == Self-Evaluation ==
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− | == Further Explorations ==
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− | == Enrichment Activities ==
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− | = See Also =
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− | = Teachers Corner =
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− | Suchetha . S. S Asst. Teacher ( Mathematics ) GJC Thyamagondlu. Nelamangala Talluk Bangalore Rural District doing a lesson on similar triangles using GeoGebra in the classroom
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− | [[Image:KOER%20Triangles_html_m3d25043b.jpg|600px]]
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− | == GeoGebra Contributions ==
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− | # The GeoGebra file below to understand Similar Triangles <br>
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− | ## Similar Triangles Part 1 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_1.html
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− | ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_1.ggb
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− | ## Similar Triangles Part 2 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_2.html
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− | ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_2.ggb
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− | ## Similar Triangles Part 3 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_3.html
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− | ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_3.ggb
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− | ## See a video to understand this concept http://www.youtube.com/watch?v=BI-rtfZVXy0
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− | # The GeoGebra file below verifies the Thales theorem <br>
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− | ## Thales Theorem http://www.karnatakaeducation.org.in/KOER/Maths/thales_theorem.html
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− | ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/thales_theorem.ggb
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− | ## See a video that proves this theorem http://www.youtube.com/watch?v=Y-6yYsuGLoc
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− | = Books =
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− | = References =
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