Mathematics / Year 4 / Number

Curriculum content descriptions

recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals (AC9M4N01)

Elaborations
  • using a bar to represent the whole, dividing it into \(10\) equal pieces with each piece representing \(0.1\) or a tenth of the whole length and understanding that \(2\) pieces are \(0.2\) or two-tenths of the whole
  • using materials to show the multiplicative relationship between the whole, tenths and hundredths; for example, using a bundle of \(10\) straws to represent the whole, one straw as the tenth and cutting the tenth into \(10\) parts to show the hundredths; using “Decipipes” to represent tenths
  • recognising that one is the same as ten-tenths and one-tenth is the same as \(10\) hundredths and using this relationship to rename decimals; for example, renaming \(0.25\) as two-tenths and five-hundredths or twenty-five hundredths
  • making models of measurement attributes to show the relationship between the base unit and parts of the unit; for example, \(1.5\) metres is one metre and five-tenths of the next metre; \(1.75\) units is one unit and seventy-five hundredths of the next unit
  • counting large quantities of mixed notes and coins, writing the total using dollars and cents, and recognising the cents as parts of the next dollar
  • comparing the way money and measures are read and said, and explaining how they are the same and different; for example, \(\$2.75\) is said, “two dollars seventy-five” and \(2.75\) metres is said “two point seven five metres”; recognising that the \(7\) means seven-tenths and the \(5\) means five-hundredths in both
General capabilities
  • Numeracy Numeracy
ScOT terms

Decimals,  Place value

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 15

This 2-week unit unit develops the big idea that addition and subtraction problems can be solved using a variety of strategies. Students are provided opportunities to: partition, rearrange and regroup numbers to at least 1000 to solve additive problems; choose and use efficient strategies to solve addition and subtraction ...

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations Multi-age 3–6 Year B – Unit 13

This 2-week unit unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations. Students are provided opportunities to: select and apply strategies to solve problems involving multiplication and division with whole numbers; investigate ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 11

This 2-week unit unit develops the big idea that the number system extends infinitely to very large and very small numbers. Students are provided opportunities to: recognise, represent, order and partition large numbers; apply place value knowledge to recognise, name and order decimals; make connections between benchmark ...

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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 9

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: compare and describe features of three-dimensional objects by making and exploring models, sketches and diagrams; construct and draw models from given views; use formal units ...

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations Multi-age 3–6 Year B – Unit 7

This 2-week unit unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations. Students are provided opportunities to: identify, describe and apply multiplicative patterns; develop, consolidate and apply derived strategies for multiplication ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 6

This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: read, partition, rename, represent and order large numbers; recognise, name, compare, order and represent decimals; identify the relationship between addition ...

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Questions can be asked and answered by collecting and interpreting data Multi-age 3–6 Year B – Unit 5

This 2-week unit unit develops the big idea that questions can be asked and answered by interpreting data. Students are provided opportunities to: collect data and construct, interpret and compare a range of data displays, including data presented in digital media; interpret and evaluate the effectiveness of various data ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 1

This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: partition, represent and order larger numbers; apply place value to recognise, regroup and order whole and decimal numbers; explore the link between multiplicative ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 2

This 2-week unit unit develops the big idea that addition and subtraction problems can be solved by using a variety of strategies. Students are provided opportunities to: apply place value understanding to solve addition and subtraction problems; identify the connection between addition and subtraction; select and explain ...

Interactive

Goat Squad (Partitioning numbers and dependent probability) - ABC Education

The Rocksteady Reds cheer squad is competing against the Blue Boing Boings to be the first to build a triangle and win the cheerleading competition. Will you use your strategies for addition and partitioning numbers to help your team win? Mathematical ideas and strategies this game supports: addition and partitioning numbers; ...

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The number system extends infinitely to very large and very small numbers: Multi-age 3–6 Year A – Unit 1

This unit develops the big idea that our number system extends infinitely to very large and very small numbers.

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Addition and subtraction problems can be solved using a variety of strategies: Multi-age 3–6 Year A – Unit 15

This multi-age unit introduces the big idea that addition and subtraction problems can be solved using a variety of strategies.

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What needs to be measured determines the unit of measurement: Multi-age 3–6 Year A – Unit 14

This multi-age unit develops the big idea that what needs to be measured determines the unit of measurement.

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The number system extends infinitely to very large and very small numbers: Multi-age 3–6 Year A – Unit 11

This 2-week unit develops the big idea that our number system extends infinitely to very large and very small numbers.

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What needs to be measured determines the unit of measurement: Multi-age 3–6 Year A – Unit 9

This 2-week unit develops the big idea that what needs to be measured determines the unit of measurement.

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Multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations: Multi-age 3–6 Year A – Unit 7

This 2-week unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations.

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Questions can be asked and answered by collecting and interpreting data: Multi-age 3–6 Year A – Unit 5

This unit introduces the big idea that questions can be asked and answered by interpreting data.

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The number system extends infinitely to very large and very small numbers: Multi-age 3–6 Year A – Unit 6

This 2-week unit introduces the big idea that our number system extends infinitely to very large and very small numbers.

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Addition and subtraction problems can be solved using a variety of strategies: Multi-age 3–6 Year A – Unit 2

This unit introduces the big idea that addition and subtraction problems can be solved by using a variety of strategies.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?