Year 12 Statistics‎ > ‎Simulations‎ > ‎Experiments‎ > ‎Probability‎ > ‎

Networks




Stars moving around the Galaxy










Learning Objectives  Material

INTRODUCING NETWORKS


INTRODUCTION

 BASIC DEFINITIONS

 DEFINITIONS

 HAMLTON AND EULER CIRCUITS

 
 
EULER'S FORMULA

 
 
CRITICAL PATH ANALYSIS

 
 
SOME CIRCUITS IN GRAPH THEORY

 
 
LESSON SEQUENCE:










 








NETWORKS 
Mathematics and Statistics 2.5 
Apply network methods in solving problems 
Level  2  Credits  2  Assessment  Internal 
This achievement standard involves applying network methods in solving problems. 


Achievement Criteria 

Achievement 
• Apply network methods in solving problems. 
Achievement with Merit 
• Apply network methods, using relational thinking, in solving problems. 
Achievement with Excellence 
• Apply network methods, using extended abstract thinking, in solving problems. 


Learning objectives: "choose appropriate networks to find optimal solutions" 
For Achieve you need to:
  • Apply network methods in solving problems:  
• selecting and using methods 
• demonstrating knowledge of concepts and terms 
• communicating using appropriate representations.

For Merit you need to include one or more of: 
• selecting and carrying out a logical sequence of steps 
• connecting different concepts or representations  
• demonstrating understanding of concepts 
• forming and using a 

For Excellence you need to include one or more of: 

• devising a strategy to investigate a situation 
• identifying relevant concepts in context 
• developing a chain of logical reasoning, or proof 
• forming a generalisation; 
and also using correct mathematical statements, or communicating mathematical insight. 


Situations will be set in real life or mathematical contexts. 

Methods include a selection from those related to: 
• shortest path 
• traversability 
• minimum spanning tree.