Number

=Number= The //Number// dimension focuses on developing students’ understanding of [|counting], [|magnitude] and [|order]. The [|natural] (counting) numbers with [|zero] extend to positive and negative signed whole numbers ([|integers]) and through part-whole relations and proportions of whole numbers to the [|rational numbers] (fractions and [|finite] decimals or [|infinite] recurring decimals). Proportions of lengths involving sides and/or diagonals of right-angled triangles and rectangles and arcs of a circle lead to the introduction of certain [|irrational] [|real] numbers such as the [|square root of 2], the [|golden ratio //phi//] and fractions or multiples of [|//pi//]. Principal operations for computation with number include various [|algorithms] for addition (aggregation), subtraction (disaggregation) and the related operations of multiplication, [|division] and exponentiation carried out mentally, by hand using written algorithms, and using calculators, spreadsheets or other numeric processors for calculation. (Source: DEECD)