Difference between revisions of "Graphs And Polyhedra"
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| − | ==Concept | + | ==Concept #3 Eulers formula for graph== |
===Learning objectives=== | ===Learning objectives=== | ||
| + | #Generalisation of Eulers formula | ||
| + | #Varification of Eulers formula for Networks | ||
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===Notes for teachers=== | ===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.'' | ''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.'' | ||
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#Activity No #1 | #Activity No #1 | ||
#Activity No #2 | #Activity No #2 | ||
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==Concept 1Representation of a graph== | ==Concept 1Representation of a graph== | ||
===Learning objectives=== | ===Learning objectives=== | ||
Revision as of 11:30, 11 July 2014
| Philosophy of Mathematics |
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Concept Map
Error: Mind Map file Graphs And Polyhedrons.mm not found
Textbook
Additional Information
Useful websites
Wikipedia page for Graph Theory
For More Informations on Platonic Solids
Reference Books
Click here for DSERT 10 th Text book chapter Graph Theory
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.
- Defining a Graph, node arc and Region
- Framing Euler's Formula for graphs
- Verifying Euler's Formula N + R = A + 2 for given Plane graphs
- Drawing graphs for given N,R and A
- Identifying the Traversible graphs
- Explaining and using the condition for Traversible graphs
- defining a Polyhedra
- Framing Euler's formula for Polyhedra
- verifying Euler's formula for the given Polyhedra
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 Introduction to Graphs
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
- Generalisation of Eulers formula
- Varification of Eulers 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
- Activity No #2
Concept 1Representation of a graph
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.
Activities
- Activity No #1
- 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.
Image Courtesy : http://mathworld.wolfram.com/KoenigsbergBridgeProblem.html
For solution click here
Project Ideas
Math Fun
Usage
Create a new page and type {{subst:Math-Content}} to use this template