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

Version 8
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate the conditions required for a number to be odd or even and identify odd and even numbers (ACMNA051)

Elaborations
  • identifying even numbers using skip counting by twos or by grouping even collections of objects in twos
  • explaining why all numbers that end in the digits 0, 2, 4, 6 and 8 are even and that numbers ending in 1, 3, 5, 7 and 9 are odd
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Parity (Integers)

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Odd and even numbers

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Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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Sites2See – number for primary

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

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Wishball challenge: hundreds

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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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MathXplosion, Ep 6: Zero the hero

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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 number partner: go figure

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This tutorial is suitable for use with a screen reader. It explains strategies for breaking up numbers into pairs of smaller numbers, eg 15 = 11 + 4. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions.

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The difference bar: generate easy subtractions

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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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Wishball: hundreds

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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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The multiplier: go figure

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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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The take-away bar: go figure

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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

Wishball: whole numbers

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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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The difference bar: go figure

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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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MoneySmart: Money maps

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This learning object helps students to explore the history of currency including bartering, the development of cash systems, and the arrival of cards and ATMs, both in Australia and around the world. It provides an interactive time line which spans the development of currency around the globe from 9000BCE to today, and ...

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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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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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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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The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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Flying high

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

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School challenge

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

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Operations: Foundation to Year 9

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This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

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

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