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

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6 direct matches to ACMNA053 | 11 other related resources

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reSolve: Addition: Chess - The Rook

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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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Interactive

Wishball: hundreds

  • TLF-IDL8456

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 ...

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Interactive

Wishball challenge: hundreds

  • TLF-IDL8457

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 ...

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Interactive

Wishball: whole numbers

  • TLF-IDL867

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

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Sites2See – number for primary

  • TLF-IDM016278

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

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MoneySmart: Sal's secret

  • TLF-IDM017868

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 ...

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Interactive

The take-away bar: go figure

  • TLF-IDL102

This tutorial is suitable for use with a screen reader. It explains strategies for solving subtractions in your head such as 87-39. Work through sample questions and instructions explaining how to use linear partitioning techniques. Solve subtractions by breaking them up into parts that are easy to work with, work out each ...

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Interactive

The difference bar: generate easy subtractions

  • TLF-IDL111

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.

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Interactive

The difference bar: go figure

  • TLF-IDL114

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 ...

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Video

BTN: What is an abacus?

  • TLF-IDM021154

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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Video

MathXplosion, Ep 6: Zero the hero

  • TLF-IDM024939

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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Interactive

The multiplier: go figure

  • TLF-IDL90

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

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Online

TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

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This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

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Online

TIMES Module 1: Number and Algebra: counting and place value - teacher guide

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This is a 16-page guide for teachers. It is a module introducing the concept of place value.

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TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

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This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

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Online

Counting games - years 1 and 2

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This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

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Interactive

Summing Decimals

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An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

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