Base 2 Notation - Progression Points

Dimension

Level

Progression Point

Number

2.25

• Use of place value (as the idea that ‘ten of these is one of those’) to determine the size and order of whole numbers to hundreds

3.0 Standard

… Students use place value (as the idea that ‘ten of these is one of those’) to determine the size and order of whole numbers to tens of thousands, and decimals to hundredths.

3.25

• Representation of square numbers using a power of 2; for example, 9 = 3²

3.75

• Creation of sets of multiples of numbers and their representation in index form; for example, 3, 9, 27 written as 3¹, 3², 3³ respectively.

4.0 Standard

… Students recognise and calculate simple powers of whole numbers (for example, 2⁴ = 16).

4.25

• Use of index notation to represent repeated multiplication

4.5

• Representation of collections of objects in base 2 notation

5.0 Standard

… Students express natural numbers base 10 in binary form, (for example, 42₁₀ = 101010₂), and add and multiply natural numbers in binary form (for example, 101₂ + 11₂ = 1000₂ and 101₂ × 11₂ = 1111₂).