Formulating Employing Interpreting Recognise mathematical
structure (including
regularities, relationships,
and patterns) in problems or
situations
Understand and utilise
constructs based on
definitions, rules and formal
systems including employing
familiar algorithms
Interpret mathematical
outcomes in a variety of
formats in relation to a
situation or use; compare or
evaluate two or more
representations in relation to
a situation
Identify and describe the
mathematical aspects of a
real-world problem situation
including identifying the
significant variables
Develop mathematical
diagrams, graphs,
constructions or computing
artifacts and extracting
mathematical information
from them
Use knowledge of how the
real world impacts the
outcomes and calculations of
a mathematical procedure or
model in order to make
contextual judgments about
how the results should be
adjusted or applied
Simplify or decompose a
situation or problem in order
to make it amenable to
mathematical analysis
Manipulate numbers,
graphical and statistical data
and information, algebraic
expressions and equations,
and geometric
representations
Construct and communicate
explanations and arguments
in the context of the problem
Recognise aspects of a
problem that correspond with
known problems or
mathematical concepts, facts
or procedures
Articulate a solution, showing
and/or summarising and
presenting intermediate
mathematical results
Recognise [demonstrate,
interpret, explain] the extent
and limits of mathematical
concepts and mathematical
solutions
Translate a problem into a
standard mathematical
representation or algorithm
Use mathematical tools,
including technology,
simulations and
computational thinking, to
help find exact or
approximate solutions
Understand the relationship
between the context of the
problem and representation
of the mathematical solution.
Use this understanding to
help interpret the solution in
context and gauge the
feasibility and possible
limitations of the solution
Use mathematical tools
(using appropriate variables,
symbols, diagrams) to
describe the mathematical
structures and/or
relationships in a problem
Make sense of, relate and
use a variety of
representations when
interacting with a problem
Apply mathematical tools and
computing tool to portray
mathematical relationships
Switch between different
representations in the
process of finding solutions