# Concept Map

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# Teaching Outlines

## Concept #1 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.

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

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

1. To identify Plane Graph
2. 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

1. Activity No #1
2. Activity No #2

## Concept #3 Eulers formula for graph

### Learning objectives

1. Generalisation of Eulers formula
2. 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

1. Activity No #1
2. Activity No #2

## Concept 1Representation of a 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

1. Activity No #1
2. Activity No #2

# 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

# Math Fun

Usage

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