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Number patterns and algebraic thinking description

Figuring out how a pattern works brings predictability and allows the making of generalisations. This sub-element describes how a student becomes increasingly able to identify a pattern as something that is a discernible regularity in a group of numbers …

Number patterns and algebraic thinking | 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

Interpreting fractions description

This sub-element emphasises the development of the fraction concept and the size of fractions rather than the development of procedures or algorithmic skills. Understanding the size of a fraction is an indicator of the depth of a student’s understanding …

Interpreting fractions | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

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

PDF documents

Numeracy learning progression Introduction to the National Literacy and Numeracy Learning Progressions National Numeracy Learning Progression Appendices

PDF documents | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

What is numeracy?

Numeracy is fundamental to a student’s ability to learn at school and to engage productively in society. In the Australian Curriculum, students become numerate as they develop the knowledge and skills to use mathematics confidently across learning areas …

What is numeracy? | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

How is the numeracy progression structured?

Elements and sub-elements The National Numeracy Learning Progression has three elements that reflect aspects of numeracy development necessary for successful learners of the F–10 Australian Curriculum and in everyday life. The three elements are: Number …

How is the numeracy progression structured? | 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 can the numeracy progression be used?

The National Numeracy Learning Progression can be used at a whole school, team or individual teacher level. However, the progression provides maximum student learning benefits when used as part of a whole-school strategy that involves professional learning …

How can the numeracy progression be used? | 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

QuN3

Producing number names produces the number word just after a given number word in the range 1–10 (but drops back to 1 when doing so) produces the number word just before a given number word in the range 1–10 (but drops back to 1 when doing so) Counting …

QuN3 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

PoL2

Position to other uses positional terms with reference to themselves (left and right) interprets a simple diagram or picture to describe the position of an object (the house is between the river and the school) gives and follows directions from one …

PoL2 | Positioning and locating | Measurement and geometry | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

QuN4

Producing number names produces the number word just after a given number word in the range 1–10 (without dropping back to count from 1) produces the number word just before a given number word in the range 1–10 (without dropping back) Counting …

QuN4 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

UnM2

Face value recognises 5c, 10c, 20c and 50c coins based on face value recognises $1 and $2 coins based on face value

UnM2 | Understanding money | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

CoU2

Ratios interprets ratios as a comparison between the same units of measure (students to teachers in a school is 20:1) expresses a ratio as equivalent fractions or percentages (ratio 1:1, each part represents ½ or 50% of the whole) uses a ratio to …

CoU2 | Comparing units (ratios, rates and proportion) | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

QuN6

Producing number names counts to at least 30 produces the number word just after a given number in the range 1–30 (without dropping back) produces the number word just before a given number word in the range 1–30 (without dropping back) counts forwards …

QuN6 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

UnC5

Calculating probabilities describes the likelihood of events using a fraction or percentage interprets the odds of an event (odds of 5:1, the odds against rolling a 6, means a wager of $1 stands to win $5) explains how probability is not affected …

UnC5 | Understanding chance | Statistics and probability | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

UnM5

Coins of one value to $5[1] determines the equivalent value of coins to $5 using one denomination of 5c, 10c, 20c or 50c coins (Sam has $1.20 in 5-cent coins. How many 5-cent coins does Sam have?)   [1] $5 is the limit of legal tender in combinations …

UnM5 | Understanding money | 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

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