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

Curriculum content descriptions

Multiply and divide decimals by powers of 10 (ACMNA130)

Elaborations
  • multiplying and dividing decimals by multiples of powers of 10
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Decimals

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.

Video

Multiplying and dividing decimals

Learn how to multiply and divide decimals by 100. Based on this video, see if you can work out how to multiply and divide decimals by 10 and 1000. What do you get if you multiply 0.375 by 10?

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 ...

Text

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 ...

Text

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

This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

Text

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 ...

Text

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 ...

Text

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 ...

Text

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.

Text

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.

Text

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.

Text

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 ...

Text

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.

Text

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.

Text

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.

Text

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.

Text

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 ...

Text

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 ...

Text

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 ...