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Mathematics / Year 4 / 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 tens of thousands to assist calculations and solve problems (ACMNA073)

Elaborations
  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Associativity

Video

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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This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

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reSolve: Place Value: Cartoon Counting

This lesson engages students in investigating place value by considering a counting system using base 8. Students are challenged to imagine how place value would work in a cartoon world where everyone only had eight fingers. They engage in activities with counting blocks, representing numbers in base 10 and in base 8 and ...

Interactive

Wishball challenge: whole numbers

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, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

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What is an abacus?

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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reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

Interactive

Wishball: whole numbers

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' ...

Interactive

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 ...

Interactive

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

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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 ...

Interactive

Wishball challenge: tens

Challenge your understanding of place value in whole numbers up to 99. Receive a starting number, such as 86, and work towards turning it into a target number, such as 18, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Interactive

The multiplier: go figure

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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Zero the hero

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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Maths Years 3 - 4 with Ms Kirszman: Quantifying collections

In this lesson, Ms Kirszman teaches you how to play Minute To Win It, and she explores how we can quantify collections without needing to count but by looking and thinking instead. The use of familiar structures to help you quantify collections is also explored, for example, dice patterns and ten-frames.

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Number line, by the Math Learning Centre - iTunes app

Use a virtual number line to visualise number sequences and to represent and solve addition, subtraction, multiplication and division problems. Free when reviewed on 12/5/2015.

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Maths Years F-1 with Miss James: Subtraction using concrete and pictorial strategies

In this lesson, Miss James teaches you how to solve subtraction problems using counters and pictures. She demonstrates how to set up and solve the subtraction questions correctly, and she provides opportunities for you to have a go at home.

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Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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Kids who code will rule the world

We all use computers, but how many people know how to write the code that makes computer programs work? The skill of computer programming is becoming increasingly important in our world. Find out how easy it is to learn to code.