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Listed under:  Mathematics  >  Number (Mathematics)  >  Numeral systems  >  Place value
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Place value: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Place value. Students apply their understanding of fractions and division to divide a whole (rectangle model) into 10 equal pieces. They learn that each piece represents 0.1 or one tenth of the length of the original whole.

Online

Factors and multiples: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Factors and multiples. Students solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits.

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 ...

Online

Place value: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Place value. Students represent natural numbers in expanded notation using place value and powers of 10. Students learn the connection between exponent notation and its expanded form. By understanding how powers of ten are sequenced, students make connections with scale ...

Online

Place value: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Place value. Students consolidate and deepen place value knowledge of two- and three-digit numbers. They do this by partitioning, rearranging and regrouping numbers to help in addition and subtraction calculations.

Online

Number sequence: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Number sequence. Students learn to recognise, represent and order whole numbers up to 10,000 and beyond. This involves using number names, writing conventions and renaming numbers using place-value parts.

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 ...

Downloadable

Hundreds and thousands

Students compare and order three-digit numbers using number lines.

Downloadable

Act it out

Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.

Online

Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

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Partitioning: One is a snail, ten is a crab - Calculate

This activity provides students with an opportunity to partition numbers in different ways. Partitioning is an important concept as it allows numbers to be broken up so that they’re easier to use.

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Today's Number - Calculate

This is an open task as it can cater for the needs of many students and can be used over and over to build confidence in representing numbers in different ways. In this activity students have an opportunity to engage with a variety of number ranges and are able to demonstrate their understandings of those numbers in many ways.

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.

Interactive

Piñata Party Tens (2-digit place value)

As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...

Downloadable

School challenge

Students represent four-digit numbers to 2,000 using materials. They read, write and compare three-digit and four-digit numbers.

Downloadable

Spending the lotto millions!

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

Online

Place value: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Place value. Students consolidate part-part-whole knowledge when partitioning and describing two-digit numbers and extend this to three-digit numbers. They partition, rearrange, regroup and rename numbers to 999, and establish clarity about the role of zero.

Online

Place Value: reSolve Garden

This sequence of 5 tasks explores the idea that 10 ones are equal to a unit of 1 ten. Students explore through the context of a garden as Mr Sprout the gardener packs and plants his seeds. Students have multiple experiences of stacking, of grouping, and of bundling as they make sense of this idea. Professional learning ...

Online

Place Value: Lolly Shop

This sequence of 6 tasks explores the mathematical idea of '10 of these is equal to one of those'. Students explore through the context of a Lolly Shop as Ms Fizz counts and packs the lollies that she sells. They work with their own lollies and explore different ways that they might pack them to make it easy to count. The ...

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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.