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ACM Proficiency Strands (Fluency (Students are fluent when... (Calculating…
ACM Proficiency Strands
Fluency
Students develop skills when...
Choosing appropriate procedures
Recalling factual knowledge
Carrying out procedures
Flexibly
Accurately
Efficiently
Appropriately
Students are fluent when...
Calculating answer effeciently
Recognising robust ways of answering questions
Choosing appropriate methods and approximations
Recalling definitions and regularly using facts
Manipulating expressions and equations to find solutions
Understanding
Students build knowledge of adaptable and transferable mathematical concepts when...
Making connections between related concepts
Progressively applying the familiar to develop new ideas
Developing an understanding when...
Connecting related ideas
Representing concepts in different ways
Identifying commonalities and differences between aspects of content
Describing their thinking mathematically
Interpreting Mathematical Information
Problem Solving
Students develop the ability to...
Make choices
Interpret
Formulate
Model
Communicate solutions
Students formulate and solve problems when...
Applying existing strategies to seek solutions
Using mathematics to represent unfamiliar or meaningful situations
Designing investigations and planning approaches
Verifying answers are reasonable
Reasoning
Students develop logical thought and action when...
Analysing
Proving
Evaluating
Explaining
Inferring
Justifying
Generalising
Students are reasoning mathematically when...
Explaining their thinking
Deducing and Justifying strategies used and conclusions reached
Adapting the known to the unknown
Transfering learning from one context to another
Proving that something is true or false
Comparing and contrasting related ideas and explaining choices
