• solve problems that involve a specific content area (e.g., geometry, algebra, statistics, probability)
• solve problems that involve more than one content area within mathematics
• solve problems that involve mathematics within other disciplines
• analyse problems and identify the significant elements
• develop specific skills in selecting and using an appropriate problem-solving strategy or combination of strategies chosen from, but not restricted to, the following:
  
  • guess and check
    
  • identify patterns and use a systematic list
    
  • make and use a drawing or model
    
  • eliminate possibilities
    
  • work backward
    
  • simplify the original problem
    
  • select and use appropriate technology to assist in problem solving
    
  • analyse keywords
• solve problems individually and co-operatively
• determine that solutions to problems are correct and reasonable
• clearly and logically communicate a solution to a problem and the process used to solve it
• evaluate the efficiency of the processes used
• use appropriate technology to assist in problem solving

Examples of multi-strand and interdisciplinary problems that most students should be able to solve are indicated with an asterisk (*).