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

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

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Year level 3-4
Resource type
Learning area Mathematics

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### 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 ...

### Sites2See – number for primary

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

### 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.

### 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.

### 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 ...

### 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.

### 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 ...

### 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 ...

### 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 ...

### 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 ...

### 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 ...

### 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 ...

### 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.

### Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

### 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 ...

### Arrays: factor families

Make equal rows and columns to explore how numbers can be broken up into factors. For example, the number 24 can be expressed as 12x2 or 2x12, and therefore, it can be divided equally using its factors 12 and 2. Identify a missing factor to complete a factor family. Solve four expressions: two multiplication and two division ...

### Divide it up: sharing tool

Use a dividing tool to make equal shares of sweets. Complete a sentence describing a number operation. For example, 17 jellybeans shared equally into 6 jars. Predict how many sweets will go into each container and identify how many sweets are left over. This learning object is one in a series of five objects.

### Divide it up: kittens

Use a dividing tool to make equal shares of toys in a pet shop. For example, share 33 toys equally between 7 kittens. Predict how many items each kitten will get, and how many leftovers there will be. Complete a sentence describing the number operations. This learning object is one in a series of five objects.

### What's the problem: nature: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This is the first ...

### What's the problem: planets: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about planets, from two categories: 'Earth and moon' or 'solar system'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This ...

### What's the problem: sports: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about sports, from two categories: 'school sport' or 'world sport'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This is ...

### 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 ...

### 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.

### Introducing arrays - unit of work

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

### The multiplier: generate easy multiplications

Solve multiplications such as 9x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...