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Line 168: − − − == Enrichment Activities == − − === Activity 2 Similar Triangles === − − '''Learning Objective''' − − − To show similar planar − figures, discuss congruence and properties of congruent/ similar − triangles − − − − − − ==== Material and Resources Required ==== − − Blackboard − − − Geogebra files + − projector − − − Calculator − − − − '''[[Pre-requisites/Instructions]] ''' − − − * Planar figures and triangles − * Draw pairs of figures on the board [ both similar and dissimilar]; they can identify overlap of congruent figures − * Ask the children to identify − * If the children know the names of the theorem, ask them to explain- ask them what is SSS, AAA, ASA − * Show ratio and give the idea of proportionality − * Geogebra files. When I change the sides/ proportion, the triangles change in size. But the proportion remains the same, angle remains the same − * 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 − * Show the arithmetic behind the proportion − − ==== Evaluation ==== − − [Activity evaluation - − What should the teacher watch for when you do the activity; based on − what they know change] − − − * Confusion between congruence and similarity − * When they give the theorem, if they cannot identify included side and angle − * When there is a wrong answer, identify what is the source of the confusion – sides, ratio and proportion − − * Direct substitution − − == Evaluation == − − == Self-Evaluation == − − == Further Explorations == − − == Enrichment Activities == − − = Pythagorean Theorem = − − Pythagoras' Theorem was discovered by − Pythagoras, a Greek mathematician and philosopher who lived − between approximately 569 BC and 500 BC. − − − Pythagoras' − Theorem states that: − − − In − any right-angled triangle, the square of the hypotenuse is equal − to the sum of the squares of the other two sides. That is: − − − [[Image:KOER%20Triangles_html_m2f096af4.png]] − − − [[Image:KOER%20Triangles_html_4bd439df.png]] − − − − − '''Pythagoras' Theorem in − Three Dimensions''' − − − A − three-dimensional object can be described by three measurements - − length, width and height. − − − [[Image:KOER%20Triangles_html_679fe2f6.png]][[Image:KOER%20Triangles_html_m570261d2.png]] − − − We − can use Pythagoras' Theorem to find the length of the longest − straw that will fit inside − − − the − box or cylinder. − − − == Evaluation == − − == Self-Evaluation == − − == Further Explorations == − − == Enrichment Activities == − − = See Also = − − − − − − − − − − = Teachers Corner = − − Suchetha . S. S Asst. Teacher ( Mathematics ) GJC Thyamagondlu. Nelamangala Talluk Bangalore Rural District doing a lesson on similar triangles using GeoGebra in the classroom − − [[Image:KOER%20Triangles_html_m3d25043b.jpg|600px]] − − − == GeoGebra Contributions == − # The GeoGebra file below to understand Similar Triangles <br> − ## Similar Triangles Part 1 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_1.html − ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_1.ggb − ## Similar Triangles Part 2 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_2.html − ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_2.ggb − ## Similar Triangles Part 3 http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_3.html − ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/Similar_Triangles_3.ggb − ## See a video to understand this concept http://www.youtube.com/watch?v=BI-rtfZVXy0 − − # The GeoGebra file below verifies the Thales theorem <br> − ## Thales Theorem http://www.karnatakaeducation.org.in/KOER/Maths/thales_theorem.html − ## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/thales_theorem.ggb − ## See a video that proves this theorem http://www.youtube.com/watch?v=Y-6yYsuGLoc − − = Books = − − − − − − = References =
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