Years 5 and 6: Multiplication and Division
This list consists of activities, games and videos designed to support the new curriculum programme of study in Years 5 and 6. Containing tips on using the resources and suggestions for further use it covers:
Year 5: identifying factors and multiples, prime numbers and composite numbers, use formal methods for multiplication and division of up to 4 digits by 1 or 2 digit numbers, recognise and use square and cube numbers and solving problems involving one or more of the four operations.
Year 6: formal written method of long multiplication/long division for numbers up to 4 digits by 2 digits, mental calculations, identify common factors, multiples and prime numbers, solving problems and estimating to check answers to calculations.
Visit the primary mathematics webpage to access all lists:.
Links and Resources
This book contains 40 worksheets, including games and activities. Great for use in class or homework to practise or consolidate learning.
Practise calculations and assess children's understanding of the four operations using sheet 6 on page 19. Children carry out calculations using given numbers to reach target numbers. Children could go on to invent their own target numbers and useful numbers and give them to a partner to see how many they can reach.
Sheets 11 and 12 provide activities on multiples and factors.
Interactive activities which show different methods of multiplication and division. Multiplication and division using partitioning allows teachers to demonstrate these methods to children on the interactive whiteboard.
Division games includes games which look at division of whole numbers by single digits, many of the games require players to search for remainders.
40 games sheets related to many mathematical areas. Laminate and keep in a box for when they are needed.Sheet 2 looks at division with remainders.
The Multiplication card games help children consolidate multiplication facts.
Multiple games using simple apparatus provides practice on specific multiples.
Factor games encourages students to think which numbers are factors of grid column and row headings.
Multiplication dice games practice mental single digit multiplication and keeping a running total.
This series of short video clips look at elements of progression in multiplication across the primary school. Starting with various concrete representations using physical apparatus, children are guided into transferring to the calculations they represent. Children in years 5 and 6 may be at different stages in their mathematical learning, so may need to approach multiplication in a different way. The NCETM provides similar videos which show progression in other calculation strategies.
The images for Multiplication and Division provides a useful visual guide for many of the models children will have encountered in their mathematical learning. It lists a guide for progression of key skills from reception to Year 6. Some children may have difficulties when faced with formal written methods and some of the models may help them to develop their understanding before moving onto more formal methods.
15 activities focusing on multiplication
Page 24 is a children's worksheet which asks children to explain why the grid method of multiplication works for multiplying two 2-digit numbers. The grid method will have been used by most children at upper Key stage Two and for some it will be an efficient and understandable method. It also is a step along the way to developing a more formal written method, including long multiplication. See the models and images resource which shows example representations of multiplication and progression of learning.
Page 26 shows how long multiplication may be carried out using Gelosia, providing questions to calculate. The NRICH website contains an investigation which challenges children to use this method.
Interactive resources which are really useful for demonstrating key areas of mathematics.
Moving digits allows students to demonstrate the effect of multiplying and dividing by 10 and 100.
Multiplication array shows an adjustable array, the corresponding multiplication fact can be hidden or revealed.
Multiplication board is a multiplication square showing counters in a grid up to 10 by 10, with the corresponding numbers .
Multiplication grid demonstrates the grid method of multiplication for whole and decimal numbers. The grid size can be changed to accommodate different calculations. Click just above the digits of the multiplication to generate a calculation, the grid will then be automatically populated.
Interactive resources which help demonstrate key areas of mathematics.
Remainders after division sets up an empty grid into which counters can be placed to demonstrate division.