The Preschool level of NuMaths covers numeracy concepts. This level is designed to give young students the opportunity to explore numbers.

Whole Numbers
• the concept of 1-10
• the concept of groups or sets
• the concept of 0 as a number

Addition
• addition of two or more groups of objects
• addition of groups where the total sum is 10 or less
• addition combinations of 10
• recognition that adding one group of objects to another group
of objects will increase the total quantity of objects.

Subtraction
• counting backwards from 10
• horizontal subtraction of 0 to 2 objects from 5 objects
• horizontal subtraction of 0 to 10 objects from 10 objects
• vertical subtraction of 0 to 2 objects from 5 objects
• vertical subtraction of 0 to 10 objects from 10 objects

Multiplication
• introduction to very basic multiplication
• counting the total number of objects in equal sized groups where the total amount of objects is no more than 10
• recognizing and creating groups
• introduction of the multiplication tables (product no more than 10)

Fractions
• commences at Purple level

Time and Money
• sequence of events (relational - first, next, last, before and
after / positional - 1st to 5th)
• times of the day (day time, night time, morning and afternoon)
• introduction to days of the week
• associated language: yesterday, today, tomorrow
• durations - short and long time, fast and slow
• identification of money: 5c, 10, 20c, 50c

Measurement
• concept of mass: heavy, light, same
• concept of length: comparison of 2 objects (tall/short, high/low,
wide/narrow, thick/thin, same/different)
• concept of area: elementary introduction to covering a surface
• concept of volume: elementary introduction to volume (full/empty,
holds more than, holds less than, holds as much as)

Space
• identify and describe positions: (positional: in/out, outside/inside,
over/under, above/below, on/off, top/bottom, same/different)
• identify and describe plane 2-D shapes:
• relational: same/different, big/little, large/small, top/bottom
• operational: the same, match, cover
• geometric: round, straight, corner, side, flat, circle, triangle,
rectangle, square
• line: concept of the line and the use of the word “line”
• identify and describe 3-D shapes (solids): operational
(same, match, cover) and geometric (box shape, ball shape, can shape)
• symmetry: explore folding of plane shapes

Chance and Data
• physical pairing of objects
• language: matches, does not match, each, none, all, enough,
not enough, too many, more, less, same, different
• introduction to graphs: 2 column
• graphing - form of organising and representing information
whenever it is necessary to compare numbers or record classifications
• introduction to graphs: 3 column

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