View source for Similarity and Congruence

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= Concept Map =
__FORCETOC__
[[File:similar_ and _congruent triangles.mm|flash]]

= Textbook =
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=Additional Information=
==Useful websites==
==Reference Books==

= Teaching Outlines =

==Concept #1 - Understanding similarity==
===Learning objectives===
#To show similar planar figures, discuss congruence and properties of congruent/ similar triangles

===Notes for teachers===
''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 Identifying similar shapes, similar triangles===
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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* '''Estimated Time''' - 80 minutes (40 +40)
* '''Materials/ Resources needed''' - Blackboard, Geogebra files + projector, Calculator
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
[[Image:KOER%20Triangles_html_m3d25043b.jpg|300px|left]]<br><br>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<br><br><br><br><br><br><br><br>
* '''Website interactives/ links/ Geogebra Applets'''
* '''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
#As part of the procedure, the teacher can use the following points to evaluate the activity as well as evaluate student understanding
*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
* '''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
*'''Evaluation'''
#Direct substitution in simple textbook problems
#With a pencil and a ruler, how can you estimate the height of a pole
* '''Question Corner'''

===Activity No # 2 Review of the concepts of similarity and congruence===
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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* '''Estimated Time''' - 30 minutes
* '''Materials/ Resources needed''' -Projector, Computer
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
{{#widget:YouTube|id=BI-rtfZVXy0}}
* '''Website interactives/ links/ Geogebra Applets'''
* '''Process (How to do the activity)'''
* '''Developmental Questions (What discussion questions)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''

==Concept #==
===Learning objectives===
===Notes for teachers===
''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 # ===
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|<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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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* '''Estimated Time'''
* '''Materials/ Resources needed'''
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
* '''Website interactives/ links/ Geogebra Applets'''
* '''Process (How to do the activity)'''
* '''Developmental Questions (What discussion questions)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''


===Activity No # ===
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|<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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
* '''Estimated Time'''
* '''Materials/ Resources needed'''
* '''Prerequisites/Instructions, if any'''
* '''Multimedia resources'''
* '''Website interactives/ links/ Geogebra Applets'''
* '''Process (How to do the activity)'''
* '''Developmental Questions (What discussion questions)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''

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