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Listed under:  Mathematics  >  Number (Mathematics)  >  Numeral systems  >  Place 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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Decimal fractions video

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

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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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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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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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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.

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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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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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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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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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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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'Mission to Mars' - An AMSI Schools 'Rich Task' in Number & Place Value - Calculate

This task aims provide a rich, contextual activity through which students can gain an understanding of the distances relevant to the size of our solar system, and how an understanding of place value, metric measurement systems and time measurement can be used to represent these large distances and convert calculations ...

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Measuring sticks: Decimals

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.

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Mathematics – Multi-age – Year A – Unit 11

This sample unit provides further develops students' knowledge, understanding and skills of place value and number representation.

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Mathematics – Multi-age – Year A – Unit 1

Collections of ten are really useful – this unit develops student knowledge, understanding, and place value skills, and how attributes can be used to sort objects.

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Flying high

Students partition four-digit numbers into place-value parts.

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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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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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AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

This sequence of 15 lessons will teach students various calculation strategies.