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

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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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Interactive

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

  • TLF-IDA005646

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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Text

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

  • TLF-IDA004958

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

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Text

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

  • TLF-IDA004759

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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Text

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

  • TLF-IDA004756

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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Text

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

  • TLF-IDA004754

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

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Text

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

  • TLF-IDA004752

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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Text

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

  • TLF-IDA004750

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

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Text

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

  • TLF-IDA004749

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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Text

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

  • TLF-IDA004747

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

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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

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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

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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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