Mathematics / Year 4 / Number and Algebra / Number and place value

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

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)

Elaborations
  • using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Mental arithmetic,  Written calculations

Refine results by

Year level 3-4
Resource type
Learning area Mathematics
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.

Interactive resource

Pobble arrays: make multiples

Help creatures to line up and walk through gates. Make equal rows and columns. For example, start with 17 pobbles. Predict whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. Check your prediction. This learning object is one in a series of three objects.

Interactive resource

Pobble arrays: find a factor

Help creatures to line up and walk through gates in equal rows and columns. Look at the given numbers of pobbles and gates, and enter the number of rows. For example, predict how many equal rows of pobbles are needed to fit 12 of them through four gates. Check your prediction. This learning object is one in a series of ...

Interactive resource

Arrays: explore factors

Explore how numbers can be broken up with factors. For example, the number 9 can be expressed as 9x1 or 3x3. Predict the factors of a number in the range 1 to 50. Make an array of equal rows and columns with the number to check its factors. Choose a statement to describe how many factors the number has. This learning object ...

Tablet friendly (Interactive resource)

Divide it up: puppies

Use a dividing tool to make equal shares of biscuits and toys in a pet shop. For example, share 34 biscuits equally between 6 puppies. Predict how many items each puppy will get, or how many packets can be filled. Check your prediction. Decide what to do with any leftovers. Complete a sentence describing the number operations.

Teacher resource

Multiplication and division

Use these resources to develop your students' understanding and use of efficient strategies for multiplication and solving problems in authentic situations. Develop strategies for a sound basis of skip counting and other examples of repeated addition. Investigate division by sharing quantities (partition) then by repeated ...

Interactive resource

Pobble arrays: find two factors

Help creatures to line up and walk through gates in equal rows and columns. Look at the given number of pobbles, and enter the number of gates and rows. For example, predict how many equal rows of pobbles are needed to fit 12 of them through four gates. This learning object is one in a series of three objects.

Assessment resource

Thinking multiplication: 2-digit by 1-digit: assessment

Test your ability to turn a word problem into an equation such as 7 x 13. Solve the equation without a calculator. Use a multiplier tool to show your thinking when solving the equation. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a ...

Assessment resource

Pobble arrays: make multiples: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. For example, start with 19 pobbles. Decide whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. The object starts with a practice task, which provides text and animation ...

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 ...

Assessment resource

Thinking division: no remainders: assessment

Test your ability to turn a word problem into an equation. Solve the equation without a calculator. For example, use a partitioning tool to help solve the equation 102÷6. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a series of two objects ...

Assessment resource

Pobble arrays: find factors: assessment

Test your understanding of arrays by arranging pobbles into equal columns and rows. Look at the given number of pobbles and enter the number of gates and rows. For example, decide how many equal rows of pobbles are needed to fit 24 of them through four gates. The object starts with a practice task, which provides text and ...

Interactive Resource

Sushi monster - iTunes app

The Sushi monster needs to be fed the correct sum or product. Choose to play the addition or multipliaction game. In the addition game select the two numbers that make the target sum. In the multipication game select two numbers to make the target product. This game has several levels. Free when reviewed on 12/5/2015.

Moving Image

Units of measurement matter

Solving a maths problem often involves using the correct number operation. Do you add, subtract, multiply or divide? Try these three problems. Don't forget to include the units in your answers.

Assessment resource

Thinking addition: 2-digit plus 2-digit: assessment

Test your ability to turn a word problem into an equation. Solve the equation without a calculator. For example, use a partitioning tool to help solve the sum 38+19. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the second in a series of two objects ...

Teacher resource

Introducing arrays - unit of work

This unit explores how arrays can be used to perform the operations of multiplication and division.

Teacher resource

Multiplying and dividing with arrays - unit of work

This unit explores the concepts of multiplication and division and offers students strategies to perform these operations.

Tablet friendly (Interactive resource)

Divide it up: grouping tool

Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons. Complete a sentence describing a number operation. For example, pack 24 crayons into packets of 5. Predict how many packets are needed and identify how many items are left over.

Tablet friendly (Interactive resource)

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Collection

Exploring division and multiplication

This collection of 17 digital curriculum resources contains activities to consolidate and extend students' problem-solving skills in the areas of multiplication and division. The first category, arrays, allows students to visualise problems while consolidating the idea that multiplication involves repeated groups of objects. ...

Collection

Mental calculation strategies - multiplication and division

This collection of 14 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing multiplication and division. The collection also aims to develop and consolidate students' knowledge of multiplicative number facts. It is organised in four categories: ...

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 ...

Teacher resource

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Teacher resource

Money

This teaching resource provides teachers of years 2-4 with descriptions of the learning objectives they should be seeking as students learn to develop efficient strategies for counting money. The resource includes illustrations of content and teaching strategies, classroom activities and a PowerPoint presentation for whole-class ...