View source for Graphs And Polyhedra

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= Concept Map =
<mm>[[Graphs And Polyhedrons.mm|Flash]]</mm>
__FORCETOC__

= Textbook =
[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=15-16 NCERT book on Graphs]

=Additional Information=
==Useful websites==
[http://en.wikipedia.org/wiki/Graph_theory Wikipedia page for Graph Theory]

[http://www.enchantedlearning.com/math/geometry/solids/ For More Informations on Platonic Solids]

==Reference Books==

[http://dsert.kar.nic.in/textbooksonline/Text%20book/Kannada/class%20x/maths/Kannada-class%20x-maths-contents.pdf| Click here for DSERT 10 th Text book chapter Graph Theory]<br>
[http://toihoctap.wordpress.com/2013/02/13/introduction-to-graph-theory-and-solution-manual-by-douglas-b-west| Introduction to Graph Theory, By Douglas B.West]

= Teaching Outlines =
==Concept #1 Representation of a Graph==
===Learning objectives===
#To define what is node.
#to define what is arc
#To define what is Region
#To represent a Graph with node, Arc and Regions

===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.''

===Activities===
Activity #1
[[Graphs_And_Polyhedra_activities#Activity_.231| Introduction to Graphs]]

Activity #2
[[Graphs_And_Polyhedra_Representation_of_a_Graph_activity_2| Graph Theory]]

==Concept #2 Types of Graphs==
===Learning objectives===
#To identify Plane Graph
#To identify Non-Plane Graph
===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.''

===Activities===
#Activity No #1
#Activity No #2

==Concept #3 Eulers formula for graph==
===Learning objectives===
#Generalization of Euler's formula
#Verification of Euler's formula for Networks

===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.''

===Activities===
Activity No #1 
[[Graphs_And_Polyhedra_Concept_3_Eulers_formula_for_graph_activity_1#Activity_-_Verification_of_Euler.27s_Formula_for_Graphs|Verification of Euler's Formula for Graphs]]<br>
Activity No #2 Activity Networks and Critical Path Analysis

=Concept # 4 Traversibility of a graph==
===Learning objectives===
#To Identify even order node
#To Identify Odd order node
#Condition for Traversibility
#Condition for Non- Traversibility of Graph
===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.''

===Activities===
Activity No #1 [[Graphs_And_Polyhedra_concept4_activity1#Activity_-_Transversable_Networks| Transversable_Networks]]<br>
Activity No #2=
=Concept # 5 Shapes of Polyhedrons=
===Learning objectives===
#Recognize regular and irregular polyhedron 
#Can write differences between regular and irregular polyhedron


===Notes foir 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.''

===Activities===
Activity No #1 <br>
Activity No #2

=Concept # 5 Shapes of Polyhedrons=
===Learning objectives===
#Recognize regular and irregular polyhedron 
#Can write differences between regular and irregular polyhedron


===Notes foir 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.''

===Activities===
Activity No #1 [[Graphs_And_Polyhedra_concept4_activity1#Activity_-_Transversable_Networks| Transversable_Networks]]<br>
Activity No #2=

=Assessment activities for CCE=

[http://wps.pearsoned.com.au/mfwa1-2/62/16069/4113811.cw/-/4113819/index.html| Check your basic knowledge on Polyhedrons]

= Hints for difficult problems =
Statement : The Königsberg bridge problem : if the seven bridges of the city of Königsberg (left figure; Kraitchik 1942), formerly in Germany but now known as Kaliningrad and part of Russia, over the river Preger can all be traversed in a single trip without doubling back, with the additional requirement that the trip ends in the same place it began.


http://photonics.cusat.edu/images/koning4.jpg



Image Courtesy : http://mathworld.wolfram.com/KoenigsbergBridgeProblem.html

For solution click [[Graphs_and_polyhedra_problems|'''here''']]

= Project Ideas =

= Math Fun =

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