K–10Mathematics K–10 Syllabus

demonstrates an understanding of how whole numbers indicate quantity

reads numerals and represents whole numbers to at least 20

reasons about number relations to model addition and subtraction by combining and separating, and comparing collections

represents the relations between the parts that form the whole, with numbers up to 10

recognises, describes and continues repeating patterns

forms equal groups by sharing and counting collections of objects

describes position and gives and follows simple directions

describes and compares lengths

identifies half the length and the halfway point

sorts, describes, names and makes two-dimensional shapes, including triangles, circles, squares and rectangles

describes and compares areas of similar shapes

manipulates, describes and sorts three-dimensional objects

describes and compares volumes

describes and compares the masses of objects

sequences events and reads hour time on clocks

contributes to collecting data and interprets data displays made from objects

applies an understanding of place value and the role of zero to read, write and order two- and three-digit numbers

reasons about representations of whole numbers to 1000, partitioning numbers to use and record quantity values

uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning

uses the structure of equal groups to solve multiplication problems, and shares or groups to solve division problems

represents and describes the positions of objects in familiar locations

measures, records, compares and estimates lengths and distances using uniform informal units, as well as metres and centimetres

creates and recognises halves, quarters and eighths as part measures of a whole length

recognises, describes and represents shapes including quadrilaterals and other common polygons

measures and compares areas using uniform informal units in rows and columns

recognises, describes and represents familiar three-dimensional objects

measures, records, compares and estimates internal volumes (capacities) and volumes using uniform informal units

measures, records, compares and estimates the masses of objects using uniform informal units

describes, compares and orders durations of events, and reads half- and quarter-hour time

gathers and organises data, displays data in lists, tables and picture graphs

reasons about representations of data to describe and interpret the results

recognises and describes the element of chance in everyday events

applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands

represents and compares decimals up to 2 decimal places using place value

selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers

completes number sentences involving addition and subtraction by finding missing values

represents and uses the structure of multiplicative relations to 10 × 10 to solve problems

completes number sentences involving multiplication and division by finding missing values

represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths)

uses grid maps and directional language to locate positions and follow routes

measures and estimates lengths in metres, centimetres and millimetres

identifies angles and classifies them by comparing to a right angle

compares two-dimensional shapes and describes their features

performs transformations by combining and splitting two-dimensional shapes

estimates, measures and compares areas using square centimetres and square metres

makes and sketches models and nets of three-dimensional objects including prisms and pyramids

estimates, measures and compares capacities (internal volumes) using litres, millilitres and volumes using cubic centimetres

estimates, measures and compares the masses of objects using kilograms and grams

represents and interprets analog and digital time in hours, minutes and seconds

collects discrete data and constructs graphs using a given scale

interprets data in tables, dot plots and column graphs

records and compares the results of chance experiments