93
edits
Changes
Jump to navigation
Jump to search
Line 39:
Line 39: − + − + − + − − − − − − − ==== Material and Resources Required ==== − − Blackboard − − − Geogebra files + − projector − − − Calculator − − − − − − − * 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 − − − * '''Estimated Time''' − + + + + + + + + + + + + + − + Line 147:
Line 113: + Line 163:
Line 130: − − == Evaluation == − − == Self-Evaluation == − − == Further Explorations == − − == Enrichment Activities == Line 217:
Line 176: − == 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]] − − Line 256:
Line 190: − − = Books = − − − − − − = References = − == 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
Similarity and Congruence (view source)
Revision as of 02:20, 6 December 2013
, 02:20, 6 December 2013no edit summary
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
===Activity No #1 ===
===Activity No #1 Identifying similar shapes, similar triangles===
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
* '''Estimated Time''' - 80 minutes (40 +40)
* '''Materials/ Resources needed''' - Blackboard, Geogebra files + projector, Calculator
'''[[Pre-requisites/Instructions]] '''
* '''Materials/ Resources needed'''
* '''Prerequisites/Instructions, if any'''
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
* '''Multimedia resources'''
* '''Website interactives/ links/ Geogebra Applets'''
* '''Website interactives/ links/ Geogebra Applets'''
* '''Process (How to do the activity)'''
* '''Process (How to do the activity)'''
#Draw figures on the boards - planar figures and triangles
#Draw pairs of figures on the board [ both similar and dissimilar]; they can identify overlap of congruent figures
#Demonstrate using Geogebra files and discuss
* '''Developmental Questions (What discussion questions)'''
* '''Developmental Questions (What discussion questions)'''
# Can you identify similar figures?
# If the children know the names of the theorem, can they explain SSS, AAA, ASA?
# What does a ratio of side mean? What is proportionality?
# In the 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 verify the 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
# Note - When there is a wrong answer, identify what is the source of the confusion – sides, ratio and proportion
* '''Evaluation (Questions for assessment of the child)'''
* '''Evaluation (Questions for assessment of the child)'''
#Distinguish congruence and similarity
#Can they relate the theorem to the facts and figures?
* '''Question Corner'''
* '''Question Corner'''
===Activity No # ===
===Activity No # ===
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
* '''Prerequisites/Instructions, if any'''
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
* '''Multimedia resources'''
[[Image:KOER%20Triangles_html_m3d25043b.jpg|400px|left]]Suchetha . S. S Asst. Teacher ( Mathematics ) GJC Thyamagondlu. Nelamangala Talluk Bangalore Rural District doing the activity below on a lesson on similar triangles using GeoGebra in the classroom
* '''Website interactives/ links/ Geogebra Applets'''
* '''Website interactives/ links/ Geogebra Applets'''
* '''Process (How to do the activity)'''
* '''Process (How to do the activity)'''
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
= Pythagorean Theorem =
= Pythagorean Theorem =
== GeoGebra Contributions ==
== GeoGebra Contributions ==
# The GeoGebra file below to understand Similar Triangles <br>
# The GeoGebra file below to understand Similar Triangles <br>
## Download ggb file here http://www.karnatakaeducation.org.in/KOER/Maths/thales_theorem.ggb
## 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
## See a video that proves this theorem http://www.youtube.com/watch?v=Y-6yYsuGLoc