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Mathematics / Year 3 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053)

Elaborations
  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Associativity

Tablet friendly (Interactive resource)

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Tablet friendly (Interactive resource)

Wishball challenge: hundreds

Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

Teacher resource

MoneySmart: Sal's secret

This is a year 3 mathematics unit of work about saving and budgeting for a class party. The unit is intended to take about 10.5 hours of teaching and learning time spread over some months. It consists of nine student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include ...

Teacher resource

reSolve: Addition: Chess - The Rook

This lesson engages students in investigating place value and the addition and subtraction of numbers by exploring computation on the number chart. Students analyse the moves of a rook chess piece and how the value of the numbers change as he moves. This builds into an exploration of how the number chart can be used as ...

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Maths Years 3 - 4 with Ms Kirszman: Partitioning numbers using efficient strategies

In this lesson, you will continue to partition numbers in standard and non-standard ways. You'll also explore how the same problem can be solved in many ways, and you'll be challenged to find other ways to solve problems and to discover which strategies are most efficient.

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Maths Years 3 - 4 with Ms Kirszman: Our place value system

In this lesson, Ms Kirszman demonstrates how to measure using 10 as a unit to iterate – rather than using a smaller unit. You will also explore how renaming, using place value parts, can help you when working with numbers. The place value number system will be looked at in some depth, as well as the importance of the periods ...

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Maths Years 3 - 6 with Miss White: Calculating change using vertical subtraction

In this lesson, Miss White teaches you how to complete formal subtraction problems that involve regrouping. She will teach you how to regroup multiple times, and she will teach you how to calculate your change when you go shopping.

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Maths Years 3 - 6 with Miss White: Addition without regrouping

In this lesson, Miss White teaches you how to complete formal addition problems without regrouping. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

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Maths Years 3 - 6 with Miss White: Addition with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal addition problems. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

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Maths Years 3 - 6 with Miss White: Subtraction with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal subtraction problems. She will introduce you to a helpful rhyme, which will help you when you're trying to solve tricky subtraction questions.

Moving Image

Maths Years 3 - 6 with Miss White: Subtraction without regrouping

In this lesson, Miss White teaches you how to complete formal subtraction problems without regrouping. She demonstrates how to set up and solve the subtraction questions correctly, and she provides opportunities for you to have a go at home.

Interactive Resource

Whole numbers level 5: four-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to four digits and beyond. This is the fifth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value, rounding and number notation. Each level includes interactive drills ...

Interactive resource

Scale matters: hundreds

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as hundreds. Look at a pair of numbers such as 900 and 1200 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked ...

Assessment resource

Scale matters: whole numbers: assessment

Test what you know about placing numbers on a number line. See two numbers on a line. Choose the best ruler to add markers to the number line and find the place for a third number. Rename the third number in two different ways by selecting the correct place values. For example, look at the numbers 35 and 47 on a number ...

Collection

Mental calculation strategies - addition and subtraction

This collection of 21 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing additions and subtractions of two-, three- and four-digit whole numbers. It is organised in three categories: developing strategies - addition; developing strategies ...

Interactive resource

Scale matters: simple units

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as ones, tens or hundreds. Look at a pair of numbers such as 900 and 1200 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. ...

Tablet friendly (Interactive resource)

The difference bar: generate easy subtractions

Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 25 and 34. In these examples, the difference is always less than ten. Split the numbers into parts that are easy to work with, work out each part and then solve the original calculation.

Interactive resource

The take-away bar: generate hard subtractions

Solve subtractions such as 87-29. Use a linear partitioning tool to help solve randomly generated subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series ...

Interactive resource

The part-adder: make your own hard sums

Solve addition sums such as 43+29. Use a linear partitioning tool to help solve your own addition sums. Learn strategies to do complex addition sums in your head. Split a sum into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series of five objects.

Interactive resource

The take-away bar: generate easy subtractions

Solve subtractions such as 28-9. Use a linear partitioning tool to help solve randomly generated subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series ...

Interactive resource

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...