Mathematics / Year 4 / Number and Algebra / Fractions and decimals

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Curriculum content descriptions

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

Elaborations
  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Simple fractions,  Decimals

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20 direct matches to ACMNA079

Interactive

Decimaster: match-up 1

  • TLF-IDL1076

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

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Online

reSolve: Authentic Problems: 10000 Centicubes

  • TLF-IDM024883

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

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Text

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

  • TLF-IDA006126

This 2-week 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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Text

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

  • TLF-IDA006134

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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Text

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

  • TLF-IDA006132

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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Text

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

  • TLF-IDA006130

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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Text

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

  • TLF-IDA006129

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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Text

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

  • TLF-IDA006125

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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Text

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

  • TLF-IDA006124

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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Text

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

  • TLF-IDA006121

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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Text

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

  • TLF-IDA006120

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 ...

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Text

Measuring sticks: Decimals

  • TLF-IDA004603

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.

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Text

Decimats - Calculate

  • TLF-IDA004330

This activity allows students to develop an understanding of decimals and how they connect to fractions and the area model. It enables them to make comparisons between decimals and their sizes and build a greater understanding of what makes a larger decimal and smaller decimal. The decimats provide them with a representational ...

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Downloadable

Spending the lotto millions!

  • TLF-IDA003573

Students apply standard and non-standard place value partitioning to seven-digit numbers.

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Downloadable

First steps in mathematics: Number – Book 1

  • TLF-IDA003590

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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Downloadable

Operations: Foundation to Year 9

  • TLF-IDA003569

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Downloadable

Number: Foundation to Year 9

  • TLF-IDA003566

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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Downloadable

First steps in mathematics: Number – Book 2

  • TLF-IDA003565

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Video

Decimal fractions video

  • TLF-IDA003329

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

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Downloadable

Let's party!

  • TLF-IDA002783

In this lesson students learn about needs and wants whilst budgeting for a birthday party. Students gather and compare data about how their classmates celebrate birthdays. They are then introduced to budgeting in the context of planning a party. They are asked to consider how needs and wants impact their spending choices ...

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