VC2M4N03

find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

• extending fraction families within collections of materials, for example, by seeing 3/4 as 3 in each 4, showing this within related fractions like 6/8 or seeing that 2/5 means 2 in each 5 so it can be shown within 4/10
• creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour
• folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that 4/8 = 2/4 = 1/2; or folding paper strips into fifths and tenths, and recording as both fractions and decimals
• identifying and using the connection between fractions of metres and decimals; for example, finding 1/4 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding 1/10 of a metre and connecting this with 0.10 metres or 10 centimetres
• using array diagrams to show the relationship between fractions and division and multiplication of natural numbers, for example, 3 × 4 = 12, 12 ÷ 4 = 3,1/4 of 12 is 3, 1/3 of 12 is 4