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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

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

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

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

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

OwP2

Find percentage as a part of a whole uses fraction benchmarks to find percentages of quantities (to find 75% of 160, I know that 50% (half) of 160 is 80, and 25% (quarter) is 40 so 75% is 120) finds a percentage of a quantity (10%, 20%, 25%, 50%, …

OwP2 | Operating with percentages | 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

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

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

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

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

OwP4

Find the whole from a percentage and a part determines the whole given a percentage (given 20% is 13 mL, determines the whole is 65 mL) identifies the whole for a range of multiplicative situations (percentages for calculating discounts and rates …

OwP4 | Operating with percentages | 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

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

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

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

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