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
Quantifying numbers description
Although number is an abstract concept which can be represented by a word, a symbol (numeral) or an image, it is central to quantitative thinking. This sub-element describes how a student becomes increasingly able to count, recognise, read and interpret …
Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Comparing units (ratios, rates and proportion) description
This sub-element addresses comparing units in ratios, rates and proportions. A ratio describes a situation in comparative terms, and a proportion is taken to mean when this comparison is used to describe a related situation in the same comparative terms. …
Comparing units (ratios, rates and proportion) | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS7
Flexible number properties uses multiplication and division as inverse operations uses factors of a number to carry out multiplication and division (to multiply a number by 72, first multiply by 12 and then multiply the result by 6) uses knowledge …
MuS7 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA6
Generalising patterns identifies a single operation rule in numerical patterns and records it as a numerical expression (2, 4, 6, 8, 10 … is n + 2, or 2, 6, 18, 54 … is 3n) predicts a higher term of a pattern using the pattern’s rule Number properties creates …
NPA6 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS6
Flexible strategies for multiplication draws on the structure of multiplication to use known multiples in calculating related multiples (uses multiples of 4 to calculate multiples of 8) uses known single-digit multiplication facts (7 boxes of 6 donuts …
MuS6 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA5
Generalising patterns identifies elements, including missing elements, in a one-operation number pattern Number sentences uses equivalent number sentences involving addition or subtraction to find an unknown (527 + 96 = ? is the same as 527 …
NPA5 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN2
Producing number names produces a rote count to at least 12[*] produces a rote count down from 10 Counting items counts a small number of items (typically less than 4) Numeral recognition and identification indicates the correct numeral …
QuN2 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA4
Continuing number patterns continues patterns where the difference between each term is the same number (2, 4, 6, 8, 10 …) describes rules for continuing patterns where the difference between each term is the same number (to find the next number …
NPA4 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MeT5
Time zones uses appropriate units for measuring both large and small durations of time (millenniums, nanoseconds) interprets 12- and 24-hour time within a single time zone identifies issues associated with different time zones identifies the relationship …
MeT5 | Measuring time | Measurement and geometry | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
UGP3
Properties of shapes and objects relates the faces of a three-dimensional object to two-dimensional shapes aligns the corresponding faces of an object and its net identifies the relationship between the number of edges of a shape and the number of …
UGP3 | Understanding geometric properties | Measurement and geometry | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
OwD3
Understanding the effects of multiplication and division with decimals understands that multiplying and dividing decimals by 10, 100, 1000 changes the positional value of the numerals explains that multiplication does not always make the answer larger …
OwD3 | Operating with decimals | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
OwD2
Understanding and estimating relative size of decimals interprets the relative size of decimals, and rounds to estimate answers estimates the size of answers without doing the exact calculations (1.23 + 3.4 cannot be 1.57 because the sum must be greater …
OwD2 | Operating with decimals | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
CoU1
Building ratios uses knowledge of fractions as part-whole relationships to divide and compare quantities represents and models ratios using diagrams or objects (in a ratio 1:4 of red to blue counters, for each red counter there are four blue coun …
CoU1 | Comparing units (ratios, rates and proportion) | 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
QuN12
Understanding place value (directed numbers) orders negative numbers (recognises that −10 °C is colder than −2.5 °C) Representing place value recognises, reads and interprets very large and very small numbers expresses numbers as powers of 10 …
QuN12 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN8
Producing number names to at least 1000 counts forwards and backwards by 100s to 1000 (100, 200 … 1000) counts forwards and backwards by tens off the decade to 100 (2, 12, 22, …) Numeral recognition and identification of place value recognises …
QuN8 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS5
Counting back (by ones) uses count-down-from for subtraction tasks (9 – 3 = ?, 9 ... 8, 7, 6. It equals 6) uses count-down-to to calculate (9 take away something equals 6, responds 9 ... 8, 7, 6 ... It's 3) finds the difference between two numbers …
AdS5 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
AdS6
Flexible strategies with combinations to 10 uses a range of non–count-by-one strategies when adding or subtracting two or more numbers (bridging to 10, near doubles) uses part-whole construction of number to partition a whole number into parts (partitions …
AdS6 | Additive strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
OwP6
Repeatedly adding a percentage uses percentage increases or decreases as an operator (a 3% increase is achieved by multiplying 1.03, and 4 successive increases is multiplying by 1.034) chooses appropriate strategies for problems in a range of multiplicative …
OwP6 | Operating with percentages | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources