Multiplicative strategies description
This sub-element describes how a student becomes increasingly able to use multiplicative strategies in computation. The coordination of units multiplicatively involves using the values of one unit applied to each of the units of the other, the multiplier. …
Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS1
Forming equal groups shares collections equally by dealing (that is, distributing items one to one until they are exhausted) makes equal groups and counts by ones to find the total
MuS1 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS2
Perceptual multiples uses groups or multiples in perceptual counting and sharing (rhythmic or skip counting with all items visible)
MuS2 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS3
Figurative (imagined units) relies on perceptual markers to represent each group uses equal grouping and counting without individual items visible but needs to represent the groups before determining the total counts by twos, fives and tens, matching …
MuS3 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS4
Repeated abstract composite units uses composite units in repeated addition and subtraction using the unit a specified number of times uses skip counting and may use fingers to keep track of the number of groups as the counting occurs determines …
MuS4 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS1
Emergent strategies combines two groups of objects and attempts to find the total compares two quantities of up to 10 and states which group has more
AdS1 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS2
Perceptual strategies counts items that can be perceived by ones to find the total of two groups with one-to-one matching of number words and objects builds and subtracts numbers by using objects or fingers makes combinations to form numbers up to …
AdS2 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS5
Coordinating composite units coordinates two composite units (mentally) as an operation (that is, both the number of groups and the number in each group are treated as composite units) represents multiplication in various ways (arrays, factors, ‘for …
MuS5 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
InF2
Repeated halving recognises quarters and eighths formed by repeated halving of a length (finds halfway then halves each half, or repeatedly halves using a linear arrangement of discrete items – 8 counters halved and then halved again into 4 groups …
InF2 | Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN5
Producing number names counts to at least 20 continues a count from a number other than 1 counts forwards by tens to 100 Counting items counts groups of up to 20 items Numeral recognition and identification points to the correct …
QuN5 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
InF1
Creating halves identifies the part and the whole recognises dividing a whole into 2 parts can create equal or unequal parts creates equal halves by attending to the linear aspect of a model (folds a paper strip in half to make equal pieces by aligning …
InF1 | Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN7
Producing number names to at least 120* counts forwards and backwards to and from 120 and beyond continues counting from any number up to 120 and beyond counts forwards and backwards by fives Grouping and counting items by tens counts items …
QuN7 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN11
Understanding place value reads and writes numbers applying knowledge of the place value periods of ones, thousands, millions (how numbers are written with the digits organised in groups of three – 10 000 is read as ten thousand, where thousand is …
QuN11 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources