Graphs And Polyhedra

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= Concept Map = Flash

= Textbook = NCERT book on Graphs

=Additional Information=

Useful websites
Wikipedia page for Graph Theory

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

= Teaching Outlines =


 * 1) Defining a Graph, node arc and Region
 * 2) Framing Euler's Formula for graphs
 * 3) Verifying Euler's Formula N + R = A + 2 for given Plane graphs
 * 4) Drawing graphs for given N,R and A
 * 5) Identifying the Traversible graphs
 * 6) Explaining and using the condition for Traversible graphs
 * 7) defining a Polyhedra
 * 8) Framing Euler's formula for Polyhedra
 * 9) verifying Euler's formula for the given Polyhedra

Concept
Representation of a Graph

Learning objectives

 * 1) To define what is node.
 * 2) to define what is arc
 * 3) To define what is Region
 * 4) 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

 * 1) Activity No #1

=Introduction to Graphs=


 * 1) Activity No #2

=Graph Theory=

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

 * 1) Activity No #1
 * 2) Activity No #2

=Assessment activities for CCE=

| 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 here

= Project Ideas =

= Math Fun =

Usage

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