VC2M2N03

Recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving <ul> <li>creating halves of a range of collections sets by sharing collections into 2 equal groups; for example, comparing half of a set of 12 washers with half of a set of 8 bolts to identify how they both represent one-half of their respective set</li> <li>creating halves using measurement attributes – for example, explaining that ‘a half is one part out of 2 equal parts of a whole’; equally folding a strip of paper, dividing a lump of playdough or separating a cup of water into 2 equal parts, and then selecting one of the parts and naming it ‘one-half’; or comparing half of a collection of 10 counters with half of a shape or object and explaining how each shows one-half of the respective whole</li> <li>using repeated halving to subdivide shapes and objects in different ways to make corresponding halves, quarters and eighths; naming the parts and comparing the size of them to notice that they are all the same size; and demonstrating that a quarter is a half of a half and that an eighth is a half of a quarter</li> <li>dividing a shape into equal parts and relating the number of parts to the unit fraction; for example, if there are 4 equal parts then each part is one-quarter and if there are 8 equal parts then each is one-eighth</li> </ul>

VC2M3N03

Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole <ul> <li>recognising that unit fractions represent equal parts of a whole; for example, one-third is one of 3 equal parts of a whole</li> <li>representing unit fractions and their multiples in different ways; for example, using a Think Board to represent three-quarters using a diagram, concrete materials, a situation and fraction notation</li> <li>cutting objects such as oranges, sandwiches or playdough into halves, quarters or fifths and reassembling them to demonstrate (for example, two-halves make a whole, four-quarters make a whole), counting the fractions as they go</li> <li>sharing collections of objects, such as icy pole sticks or counters, between 3, 4 and 5 people and connecting division with fractions; for example, sharing equally between 3 people gives 1/3 of the collection to each and sharing equally between 5 people gives 1/5 of the collection to each</li> </ul>

MA1-FG-01

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

MA2-MR-01

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

MA2-PF-01

AC9M2N03

Recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving

AC9M3N02

Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5 and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole

ACMNA016

ACMNA033

ACMNA058

ACMNA016

Recognise and describe one-half as one of two equal parts of a whole.

ACMNA033

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections

ACMNA058

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole