Years 3 & 4: Multiplication and Division
This list consists of visual resources, activities and games designed to support the new curriculum programme of study in Years 3 and 4. Containing tips on using the resources and suggestions for further use, it covers:
Year 3: Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables, write and calculate mathematical statements for multiplication and division that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods, solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.
Year 4: Recall multiplication and division facts for multiplication tables up to 12 × 12, use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1, dividing by 1, multiplying together three numbers, recognise and use factor pairs and commutativity in mental calculations, multiply two-digit and three-digit numbers by a one-digit number using formal written layout, solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by one-digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.
Visit the primary mathematics webpage to access all lists.
Links and Resources
Learning the times tables and how to apply them is fundamental in mathematics. Learning through games and spotting patterns will help chidren remember them. The ping-pong game could be used in both Years 3 and 4 to learn and consolidate times tables. This example uses the four times table but could be used with others. Teaching the four and then eight times tables alongside each other will help children see that the eight times table is double the four times table. Using a 100 square to highlight multiples of 4 helps children see the pattern. Children are then able to apply their times table knowledge to find multiples of 4 on the 100 square and to find four-digit numbers that are multiples of 4 and explain how they know they are multiple of 4.
This short video demonstrates how place value counters may help children to represent a calculation, whilst using the grid method of multiplication. Children may be able to perform calculations independently using the grid method and the counters to support them. This could be a whole class activity or used to support small groups.
Understanding multiplication and division shows different models and images which may be used to represent multiplication and division. This simple sheet may help new teachers looking for different models to use in class to help show representations of multiplication and division.
This video demonstrates an interesting way of demonstrating division using plastic cups and will help visual, audio and kinaesthetic learners of maths. Children put cups into groups of, for example, 6 then see how many groups they have. The cups show children a concrete representation of division which they are then able to link to the abstract calculation. Children in this clip are moved on to dividing much larger numbers. It is also a great way of increasing confidence in children needing support in learning division.
This resource contains teacher-led, group and individual activities. Revise multiplication of two, three, four, five and ten times tables and look at the multiplication of of two-digit numbers in Topic 4.
Topic 17 looks at six, seven and eight times tables, the use of brackets and commutativity, multiplication games and factors.
Topic 5 includes activities which derive division facts from multiplication facts and also looks at the division of two-digit numbers into two equal sets.
Try some of the division games and puzzles in Topic 18 - they start on page 4 of the pdf.
The repromasters needed in the activities may be found here.
A collection of interactive tools which illustrate multiplication in different ways. Multiplication tables is a useful tool for bringing up a table of multiplications on the board. Set the grid so that multiplications may be on one particular table or a mixture of different ones. This is a great quick maths activity at any time of the day, which children can do in mental maths books or on whiteboards. Try hiding the first digit instead of the answer and ask children to complete the calculation.
Number grid generates a 100 square grid in which individual cells can be hidden or highlighted in different colours. Great for showing multiples and for spotting patterns.
Multiplication facts shows how multiplication is repeated addition by using a grid of blocks or counters.
This game allows children to practice multiplication problems. Children move along a track landing on different numbers, mainly from the 6, 7, 8 and 9 times tables. To move they must say the pair of numbers (factors) which will multiply together to give a nearby product on the board. It contains two boards and teachers' notes with instructions of how to play the different games (there are ten different ways to play). There is also a blank board so teachers can easily adapt the game to suit any specific needs. A great one to laminate and have in your maths games collection!
The times tables booklets included in this resource are extremely useful in allowing children to learn and practise their times tables. A great idea for homework or in class.
It also looks at Gelosia and Napiers bones as methods of multiplication.