Problem solving processes
including estimating and
reflecting
– Draws on a combination of hands-on, in-context materials, personal experience, mathematical
and other prior knowledge to:
Select appropriate methods of solution from a limited range of mathematical processes
Use developing estimation, and other assessment skills, to check and reflect on the outcome and it's appropriateness to the context and task
Mathematical methods and
use of tools
– Uses a blend of personal ‘in-the-head’ methods and formal pen and paper methods to
calculate and uses calculator/technological processes and tools to undertake the problem
solving process
– Selects and uses appropriate tools, hand-held devices, computers and technological processes,
e.g. uses a tape measure to measure the dimensions of a window in mm or creates a personal
weekly budget in a spreadsheet
Mathematical knowledge
and skills: number and
algebra
– Calculates with whole numbers and everyday or routine fractions, decimals and percentages,
and where appropriate converting between equivalent forms (includes dividing by small whole
numbers only, with division by decimal values and long division worked out on a calculator;
calculations with simple fractions to be multiplication of whole number values only, e.g. 20%
or 1/5 of $250
– Uses and applies order of arithmetical operations to solve multi-step calculations
– Uses and applies rates in familiar or routine situations, e.g. km/hr, $/kg or $/m
Mathematical knowledge
and skills: measurement
and geometry
– Applies knowledge of properties of 2D and 3D shapes to describe and draw everyday objects,
including constructing common 3D shapes
– Measures, estimates and calculates length, perimeter, mass, capacity/volume, time,
temperature and simple area (for rectangular areas only, using A = L x W, or estimates area of
a non-rectangular shape by counting squares)
– Identifies and estimates common angles, e.g. as a rotation with a full turn = 360° and
recognition of right angles as 90°
– Converts between routine metric units by applying understanding of common prefixes, e.g.
milli, centi or kilo
– Uses distance, direction, coordinates, simple scales, labels, symbols and keys to read and use
everyday maps and plans
Mathematical knowledge
and skills: statistics and
probability
– Collects and organises familiar data and constructs tables, graphs and charts, manually or with
spreadsheets, using simple and familiar or routine scales and axes
– Describes, compares and interprets the likelihood of everyday chance events (e.g. rolling a six
on a dice or the chance of rain) using qualitative terms such as certain, likely, impossible and
relates these to everyday or routine fractions, decimals or percentages
