My learners found it very useful to differentiate between Achievement, Merit, and Excellence.
Criteria
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Achievement
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uses
at least three different numeric methods in an attempt to solve the problem.
Ratio
and Proportion (need at least one)
Rounding
and rates (need at least one).
Fraction
of, Percentage of, Percentage Increase/decrease and GST(need at least one).
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Merit
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Solve a problem involving one or
more of:
Selecting and carrying out a logical sequence of steps
Connecting different concepts and representations
Demonstrating understanding of concepts
Forming and using a model
Relating findings to a context
Communicating thinking using
appropriate mathematical statements.
What this means?
Solve a problem (with working and explanation) using multiple steps
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Excellence
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Extended abstract thinking.
This could involve one or more of:
Devising a strategy to investigate or solve a problem
Identifying relevant concepts in context
Developing a chain of logical reasoning, or proof
Forming a generalisation
Using correct mathematical statements
Communicating mathematical insight.
What this means?
Solve a problem (with complete working and explanation) using multiple steps
and consider rounding issues, multiple solutions, assumptions, comparing
different options.
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