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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

Understanding money description

The descriptive term decimal applied to money refers to the basic conversion units being multiples of ten. However, money is not a true decimal system. Amounts such as $2.99 are spoken as two whole numbers (2 dollars 99) and, due to the withdrawal of …

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

Operating with percentages description

This sub-element focuses on understanding the use of percentages in representing quantities. It begins with understanding the concept of a percentage, progresses through calculations of a percentage, finding a percentage change first through two steps …

Operating with percentages | 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

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 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

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

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

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

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

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

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

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

AdS7

Flexible strategies with two-digit numbers applies knowledge of 10 as a unit to add and subtract 2 two-digit numbers (jump strategy, split strategy or compensation) manipulates tens and ones flexibly for addition and subtraction (to add 45 and 37, …

AdS7 | Additive 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

UnM6

Coins of mixed values determines the equivalent value of coins to $5 using any combination of 5c, 10c, 20c or 50c coins

UnM6 | Understanding money | Number sense and algebra | 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

UnM4

Counting value of coins determines the equivalent value of coins to a maximum of 10 coins of one denomination

UnM4 | Understanding money | 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

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

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