The focus of this activity is to encourage students to use trial and error and persistence to solve the problem. Often problems have solutions – this problem has no solution. Students need to understand that sometimes “no solution” is a solution. Learning from this – how can students modify the layout of the bridges to make a route over 7 bridges possible?

##### Purpose
• Identify the qualities of a good mathematician
• Demonstrate the qualities of a good mathematician
• Use trial and error to investigate the problem
• Share ideas and approaches with other students
• Use a grid to create a map of Konigsberg
• Identify key features of a map, including labels
• Include key features on grid maps of familiar locations
• Apply knowledge of the Konigsberg Bridge problem to solve similar problems
• Explain and record thinking using a systematic approach

##### LOCATION & TRANSFORMATION – Level 3
• Create and interpret simple grid maps to show position and pathways (VCMMG143)

##### LOCATION & TRANSFORMATION – Level 4
• Use simple scales, legends and directions to interpret information contained in basic maps (VCMMG172)

##### At the end of this lesson students should be able to answer the following questions
• How many locations are there? How many bridges?
• Do you think a route that travels on all 7 bridges is possible?
• What method will you use to track your progress?
• Did you take a systematic approach?
• Can you represent the problem as a map?
• What features of the map should be included?
• Can you redraw the map so a route is possible?
• How can this information be used to solve similar pathway problems?