Mathematics at William Barnes

Why Teach Mathematics?

  • It is enjoyable.
  • It is used to analyse and communicate information.
  • It transcends cultural barriers.
  • It teaches children skills for life.
  • It helps us to understand the world.
  • It is used in a variety of ways in cross curricular subjects.

The Aims of Mathematics at William Barnes.

  • To develop a positive attitude to numeracy by presenting it as an enjoyable, interesting and attractive subject.
  • To develop children’s confidence in their own ability to understand and tackle mathematical questions.
  • To develop their ability to think clearly and logically with independence of thought and flexibility of mind.
  • To develop an understanding of mathematics through a process of enquiry and experiment.
  • To make children aware of the uses of numeracy in everyday learning and in the world beyond the classroom.
  • To encourage persistence through sustained work in mathematics, that requires perseverance over a period of time.
  • To encourage children to express their mathematical ideas both orally and in written form.

William Barnes Ethos

At William Barnes the staff believe that all children have the potential to become fluent and confident mathematicians. We believe that if children are prepared to adopt a “growth mindset”, then through hard work and practice, all the children can make the progress they need to be ready for the start of secondary school. We recognise that some children find mathematics more difficult than others, but we also believe that with appropriate support, additional help, high quality teaching and support from home, then all children can overcome their difficulties to become successful mathematicians.

Calculation Policy

At William Barnes, children are expected to make written calculations in a step by step way as they move through the school from reception to year 6.  These steps are called the school's calculation policy.  If you want to help your child with their calculations, download the policies to see how your child is being taught in class.

Click here to download the school's addition calculation policy.

Click here to download the school's subtraction calculation policy.

Click here to download the school's multiplication calculation policy.

Click here to download the school's division calculation policy.

A Mastery Curriculum

The children at William Barnes experience a mastery based curriculum. In each year group a core group of ideas and skills is taught to all children.  When they have fully grasped this core knowledge, they are said to have mastered the content for that year group.  To challenge the children further they are given increasinly complex problems which require them to apply their learning and deepen their understanding.  Some children who are "rapid graspers" move onto deepening activities quite quickly in lessons, whilst other children who find the work more challenging will take longer master the basics before moving onto deepening activities.

Mathematical schemes

Teaching staff at William Barnes do not use a single scheme for the teaching of mathematics. Such schemes, whilst convenient for teachers, can lead to a formulaic teaching style and a lack of variety in the classroom. Instead, at William Barnes, teachers combine the most successful parts of a range of schemes and resources to produce a rich and varied mathematics curriculum. Teachers always ask themselves the question, “what do my children need to experience in order to make the most progress?” as their starting point. They then plan their lessons accordingly, often creating their own resources from scratch, without the constraint of an “off the shelf” scheme. Teaching is closely matched to what each child needs to learn and understand in order to make the most progress.

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Learning Multiplication tables and Number Facts

(If you work out how many different multiplication facts need to be learnt so that a children knows all of their times tables, you will find that there are 55 in total)

Children are taught their number facts systematically, as they move up through the school, using a series of targets, which are tested weekly in the “55 club”.

The steps for the learning of times tables are shown in the table below.


Class and Age

Targets for Multiplication and Division facts


Year 1

Year 2

Age 4-7

I can count in 2s up to 10

I can count in 2s up to 20

I can count in 2s up to 30

I can count on in 2s

I can count on and back in 2s, 5s and 10s

I can remember and use my multiplication facts for 2,5,10

I can say how many 2s make…..

Year 3

Year 4

Year 5

Year 6

Age 7-11

I can remember and use my multiplication and division facts for 2,4,3,6,5 and 10. I know when a number is a multiple of 2, 5 or 10 up to 1000.

I can remember and use all my multiplication × facts including multiples of 10,11 and 12 and 100 and quickly work out the division ÷ facts.

I can remember and use all of my multiplication × and division ÷ facts up to 10 × 10 including 3 x 60, 4 x 200, 70 x 80

can remember and use all the multiplication × facts up to 10 × 10 and their division ÷ facts including decimals e.g. 0.8 x 7 = 5.6, 4.8÷6=

I can remember and use all of my multiplication × facts up to 12 × 12 and their division ÷ facts including decimals.

I can remember all the factors of the numbers to 100 and the whole number square roots up to


The steps for the learning of addition and subtraction facts are shown below. Each classroom has a display to show the progress of children in the “55 club”.

Class and Age

Targets for addition and subtraction facts


Year 1

Year 2

Age 4-7

Know number bonds to 5

Know number bonds to 10 and complements to 10

Know number bonds to 5

Know number pairs (complements) to 10 and number bonds to 5

Know number pairs (complements) to 20 and number bonds to 10

Know number pairs (complements) to 100 and number bonds to 10

Year 3

Year 4

Year 5

Year 6

Age 7-11

Work out and remember sums and differences of multiples of 10 and number pairs up to 10,100 or 1000

Work out and remember complements and number bonds to 1 using decimals with up to 2 decimal places

By the end of year 4 children are expected to be fluent in their number bonds

In year 5 and 6 the children need to apply this fluency rapidly to cope with the challenging learning on fractions, percentages and ratios.

The Numicon approach to Mathematics

When children first begin to learn about numbers, it is very important that they learn through hands on experience. At William Barnes, we use an approach called Numicon to give children this hands on experience in a structured and ordered way. The children learn about the number system using sets of shapes called Numicon tiles to represent numbers. Through practical activities, where the children complete active tasks, they quickly develop a rich understanding of numbers and their relationships.

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However, as children grow older, they become able to visualize the Numicon pieces in their minds, and no longer require concrete objects to support their learning. The age when this happens varies from one child to the next. However, broadly speaking, most children will move away from using Numicon by the time they reach year 3. For those children who continue to find mathematics difficult in years 3,4,5 and 6, extra help is given, often using the Numicon approach. By the end of year 6, we expect all children to be confident in their own mathematical ability, with the Numicon approach enabling them to become fluent mathematicians.

Mathletics : on-line learning

At William Barnes, each child in years 1 to year 6 is given access to an on line learning environment called Mathletics. This internationally successful web site, allows teachers to set children activities to complete on line, either in school or at home. In years 1 and 2, the children are given half an hour or so a week during lesson time to complete their Mathletics learning. However, once the children reach year 3, Mathletics is set by the teacher and completed at home for homework. The children gain points for each calculation they complete and can earn certificates, which are given out in assembly. It is also possible to compete in mental arithmetic quizzes with other mathematicans from all over the world. Mathletics has been a huge success at William Barnes, with over 2 million calculations being completed each year by the children on line.

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