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
What is the focus of the numeracy progression?
Numeracy development influences student success in many areas of learning at school. The progression can be used to support students to successfully engage with the numeracy demands of the Foundation to Year 10 Australian Curriculum. The National Numeracy …
What is the focus of the numeracy progression? | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
How is the numeracy progression related to the Australian Curriculum?
Numeracy skills are explicit teaching in the Australian Curriculum: Mathematics. Students need opportunities to recognise that mathematics is constantly used outside the mathematics classroom and that numerate people apply general mathematical skills …
How is the numeracy progression related to the Australian Curriculum? | 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
MeT2
Telling time uses the appropriate time unit to describe the duration of events (uses minutes to describe time taken to clean teeth whereas uses hours to describe the duration of a long-distance car trip) reads time on analogue clocks to the hour, …
MeT2 | Measuring time | Measurement and geometry | 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
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
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
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
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
QuN1
Producing number names produces number words that relate to students’ lives, which could involve the use of augmentative and alternative communication (AAC) Counting items responds to a request for a different amount by increasing or decreasing …
QuN1 | Quantifying numbers | 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
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
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
InF6
Fractions as numbers connects the concepts of fractions and division: a fraction is a quotient, or a division statement (two-sixths is the same as 2 ÷ 6 or 2 partitioned into 6 equal parts) justifies where to place fractions on a number line (to place …
InF6 | Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN9
Producing number names of any size counts forwards and backwards from any number produces and reads numbers to at least 1000 Numeral recognition and identification of place value recognises and identifies numerals from a given range up to 1000 …
QuN9 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources