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Listed under:  Mathematics  >  Number (Mathematics)  >  Numeral systems  >  Place value
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Place value: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Place value. Students further establish part-part-whole when exploring one- and two-digit numbers. They use partitioning to think about and represent numbers in different ways.

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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.

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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.

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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.

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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.

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Fruit fractions: Growing with fruit

Explore fractions through plant growth in this engaging lesson. Students will measure and represent plant growth using fractions, gaining a clear understanding of numerators and denominators. This interactive lesson encourages creative exploration of equivalent fractions while fostering a deeper connection with the concept ...

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 ...

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 ...

Downloadable

Hundreds and thousands

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

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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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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.

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Work sample Year 2 Mathematics: Trick or treat

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 2 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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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 ...

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.

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.

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Spending the lotto millions!

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

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100 Face (Cuisenaire Rods) - Calculate

This engaging game encourages students to arrange the Cuisenaire rods to create a face that equals 100.

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Race to... - Calculate

This game challenges students to use their knowledge of place value to add and subtract random numbers in order to meet a target value.

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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 ...

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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.