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Mathematics / Year 6 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129)

Elaborations
  • interpreting the results of calculations to provide an answer appropriate to the context
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Decimals

Online

Decimals

This is a website designed for teachers and students in year 5, and addresses components of the working with decimals topic. It is particularly relevant for comparison, addition, subtraction, multiplication and division with decimals. There are pages for both teachers and students. The student pages contain interactive ...

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Operating with Decimals | DET - Learning sequences

This learning sequence aims to develop student proficiency when adding, subtracting, multiplying and dividing with decimals. A well-developed understanding of place value and number sense is critical for students to flexibly and intuitively operate with decimals. This sequence provides opportunities for students to consolidate ...

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How Big? | DET - Learning sequences

This learning sequence explores measurement and geometry. Throughout the sequence, students are encouraged to estimate and test their estimates. Students transition from measuring and comparing different lengths, masses, capacities, and temperatures of common items to measuring perimeter, area of two-dimensional shapes ...

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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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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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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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Sustainability

Use this sequence of 5 lessons to connect the cross-curriculum priority of Sustainability with Number, Measurement and Statistics. Helping us see the connection between our everyday actions and the larger environmental impact is important for sustainable use of resources. Use the context of water use to learn about the ...

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Decimals: Adding and subtracting

In this lesson, students learn about place value and how it extends beyond whole numbers. Students play a board game that draws on their knowledge of adding decimals to tenths, hundredths and thousandths with and without regrouping.

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Work Unit: Mr Moon’s feathery problem - Calculate

This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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Converting Decimals Year 6 - Calculate

This task introduces students to a practical situation that involves multiplying and dividing decimals by powers of 10. We want students to focus to use what they know about the measurement in order to explain how to convert them, rather than simply applying a procedure.

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Money Year 5 & 6 - Calculate

The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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Work sample Year 6 Mathematics: How tall?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 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 ...

Online

Four operations: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Four operations. Students apply knowledge of place value to add and subtract decimals, using digital tools where appropriate. They further develop whole number multiplication and then strengthen their understanding of decimals by multiplying and dividing decimals and ...

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It's All in the Numbers | DET - Learning sequences

This learning sequence aims to build students’ capability to work with and classify whole numbers. It aims to develop student understanding of whole number operations – including addition, subtraction, multiplication, order of operations, factors, and multiples – by providing opportunities for students to use these concepts ...

Video

Catalyst: Small scale measurements

What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.

Online

Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world: Multi-age 3–6 Year A – Unit 12

This 2-week unit introduces the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world.

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

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

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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.