Mathematics / Year 5 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Recognise that the place value system can be extended beyond hundredths (ACMNA104)

Elaborations
  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Decimals

Interactive

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

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Keeping it in Proportion: Fractions and Decimals | DET - Learning sequences

This learning sequence aims to develop student understanding of fractions and decimals. Fractions underpin the development of proportional reasoning and are important for future mathematics study, including that of algebra and probability. This sequence aims to equip students with the skills required to compare and order ...

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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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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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The Power of Ten - Calculate

This activity aims to improve student fluency in mentally multiplying and dividing numbers by 10, 100 and 1000.

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Decimats - Calculate

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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Work sample Year 5 Mathematics: Locating decimals

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 5 Mathematics: Who were the fastest swimmers?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Downloadable

First steps in mathematics: Number – Book 1

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

Downloadable

Operations: Foundation to Year 9

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.

Downloadable

Number: Foundation to Year 9

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.

Downloadable

First steps in mathematics: Number – Book 2

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

Online

Place value: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Place value. Students extend understanding of place value by interpreting, comparing and ordering decimal numbers including tenths, hundredths, thousandths and beyond. Students apply multiplicative thinking to explain and model the relationship between consecutive places ...

Video

Decimal fractions video

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