I found the SOLO taxonomy to be extremely useful for differentiated teaching, as well as my own for my own learning.
ACHIEVEMENT
Candidates who were awarded Achievement for this standard demonstrated the required skills and knowledge. They commonly:
• calculated probabilities or percentages using either Normal Distribution Tables or a Graphics calculator
• calculated probabilities using Probability Tree Diagrams
• calculated probabilities or proportions from the information presented in contingency tables.
ACHIEVEMENT WITH MERIT
In addition to the skills and knowledge required for the award of Achievement, candidates who were awarded Achievement with Merit commonly:
• inverse normal distribution problems.
• applied calculated probabilities or proportions to determine the expected value for a situation and gave the answer as a whole number for a discrete situation
• compared features of a sample distribution with a Normal Distribution by partially describing
similarities/differences using correct statistical terms
• calculated probabilities for multiple events using Probability Tree Diagrams
• could set up and solve a linear probability equation.
ACHIEVEMENT WITH EXCELLENCE
In addition to the skills and knowledge required for the award of Achievement with Merit, candidates who were awarded Achievement with Excellence commonly:
• applied their understanding of inverse Normal Probability situations to find an unknown parameter
(e.g. could find a new mean or standard deviation)
• could compare in depth the features of a sample distribution with a Normal Distribution by fully describing similarities/differences using correct statistical terms
• found a conditional probability for an event using either an extended probability tree diagram or conditional probability rule
• determined relative risks and drew a conclusion relating to a claim about the events occurring
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