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

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: 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 ...

Teacher resource

Counting games - years 1 and 2

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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Can you add and subtract numbers in hundreds?

Can you add two numbers that are both in the hundreds? Here's an example that uses 129 and 573. See how to carry the tens and hundreds. Also watch how to subtract two numbers that are both in the hundreds. This example uses 781 and 218. Take 218 away from 781. See how to do the tricky bit of 'carrying'.

Teacher resource

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 ...

Moving Image

Adding and subtracting numbers in the hundreds

Can you add two numbers that are both in the hundreds? Here's an example that uses 149 and 673. See how to carry the tens and hundreds. Also watch how to subtract two numbers that are both in the hundreds. This example uses 741 and 218. Take 218 away from 741. See how to do the tricky bit of 'carrying'.

Teacher resource

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 ...

Teacher resource

reSolve: Algebra: Chess - The King

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 ...

Tablet friendly (Interactive resource)

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 resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive Resource

Whole numbers level 6: numbers to 10 000

This set of online activities focuses on the development and consolidation of number concepts to 10 000 and beyond. This is the sixth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value and number notation and introduces negative numbers. Each level includes interactive ...

Interactive Resource

Whole numbers level 7: six-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to six digits and beyond. The complete set of activities consists of seven levels in a series focusing on whole numbers to six digits. This is the seventh level and contains ideas about place value, rounding and number notation ...

Interactive resource

Hopper challenge: whole numbers

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 1+ (5 x 2) = 11. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

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

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 ...

Interactive Resource

BBC Bitesize: whole numbers

This interactive resource presents a review of place value ideas associated with whole numbers to millions, ordering numbers and multiplication and division by multiples of powers of 10. Students answer practice questions and then have access to test questions, with answers, to evaluate their knowledge and skills. This ...

Interactive resource

The take-away bar: go figure

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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BBC Bitesize: whole numbers - revision

This is a set of illustrated information sheets dealing with place value concepts associated with whole numbers, including ordering numbers, and multiplication and division by powers of 10. Examples with answers are included and students have access to test questions to assess their learning. This resource is one of a series ...

Interactive resource

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

Interactive resource

Swamp survival: hundredths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths or hundredths. Put the decimals in order ...