Lutton St Nicholas and Lutton St Nicholas and Gedney Church End Gedney Church End

FederationFederationwarmly welcome you to awarmly welcome you to a

Parents’ information evening Parents’ information evening on:on:

Progression through Progression through CalculationsCalculationsCan I do

it in my head?

Do I need

jottings ?

Do I need to use a

calculator?

Shall I use a pencil and

paper method?

Maths peopleMaths people

• What type of Mathematics person are you?

• Effortless• Hard worker• Struggler• Terrified

AimsAims

• To discuss the new calculation policy and new curriculum for Maths

• To discuss the necessity for a calculation policy

• To outline the contents of the calculation policy

• To share the parents’ guide to calculations

• To have a chance to discuss issues etc informally

Aims of the new Maths Aims of the new Maths curriculumcurriculum

• The national curriculum for mathematics aims to ensure that all pupils:

• become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately

• reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.

• can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Calculations policy

• What is it and why do we have one?

• This ensures that there is a consistent approach across the school and from parents on how we teach our children to complete calculations.

• All staff work from the same policy to ensure that regardless of class, your child will be moving onto the stage that is right for them and will receive the same teaching methods from all teachers and staff.

Times tables• Times tables• Across the federation we expect the majority of pupils to

achieve the following standards – • YR – Begin to count in steps – 1’s, 2’s and 10’s• Y1 – Be able to count in steps of 1, 2, 5 and 10

confidently to the 10th term• Y2 –To know their 2, 5, and 10 times tables (as times

tables not as counting)• Y3 – To know their 3, 4, and 8 times tables (consolidate

previous as well)• Y4 – Consolidation and move onto the 6, 7, 9, 11 and 12

times tables• Y5/6 – Consolidation and application• By ensuring this we are preparing the children to work

with longer calculations and use written methods competently.

The four stages

• Mental• Informal• Expanded• Efficient

• Note that mental and informal methods will continue all the way through primary maths.

Skills of mental calculationMental methods will be established. These will be based on a solidunderstanding of place value in number and will include the following;

• Remembering number facts and recalling them without hesitation (pairs, doubles, halves)

• Using known facts to calculate unknown facts (6 + 6 = 12 so 6 + 7 = 13)

• Understanding and using the relationship between addition and subtraction to find answers and check results

• A solid repertoire of mental strategies to solve calculation (bridging, near doubles etc)

• Making use of informal jottings such as blank number lines to assist in larger calculations

• Solving one-step word problems by identifying which operation to use and explain their reasoning

• Begin to present calculations is a horizontal format and explain the mental steps taken

• Learn to estimate and approximate

Laying the foundations for Laying the foundations for addition and subtractionaddition and subtraction

• Addition and subtraction are taught together. Children learn that addition is commutative and subtraction is not.

• Children learn to understand the principle of exchange (which is central to our number system) – 10 ones become one 10.

• Addition and subtraction teaching make the inverse relationship explicit.

• Children will learn the column method (efficient) for both addition and subtraction.

Addition and subtraction

• Mental

• Informal

14 + 11 = 25

3 + 2 = 5

3 + 2 = 5

5 = 3 + 2

Addition and subtractionExpanded Efficient

Laying the foundations for multiplication and division

• Multiplication and division are taught together. Children learn that multiplication is commutative and division is not

• Children will ‘hook’ their mathematical thinking onto real life examples

• Repeated addition and subtraction will be used to aid calculations

• Explicit links will be made between division and fractions• Multiplication and division teaching make the inverse relationship

explicit• Children will be encouraged to see patterns and the related

nature of the times tables• Children learn to understand the principle of exchange (which is

central to our number system) – 10 ones become one 10• Children will explore remainders and will learn the efficient

written methods for both multiplication and division

Multiplication and division

• Mental

• Informal

12 shared into 3 equal groups12 shared equally into groups of 4

1 ÷ 2

I am 3 times as tall as you.

Multiplication and division

Expanded Efficient

Language

• Addition – increase, together, sum, more, plus, add, total, and

• Subtraction – difference between, subtract, fewer, decrease, minus, take from reduce, take away

• Multiplication – multiplied by, multiply, times table, times, product, groups of, lots of

• Division – divided by, share, divide, share equally, divisible by, divide into, group, fractions

How can parents help?How can parents help?• Count with their child• Play number games• Involve children in shopping activities• Involve children when taking measurements or weighing items• Take note of numbers in real life e.g. telephone numbers, bus numbers, lottery numbers etc• Give children opportunities to use money to shop, check change etc•Talking about the mathematics in football e.g. How many points does your favourite team need to catch the next team in the division?• When helping their children calculate, use the method that they have been taught

How can parents help?How can parents help?Please don’tsPlease don’ts

• Many of us use maths ‘tricks’ and teach them to our children. Please do not teach your child the following ‘tricks’;

• Just add a zero• Move the decimal point• Let’s do some sums• Rub it out and start again

Mental gymnastics

• Think of a number and keep doubling it. How far can you go?

• Face the person next to you and alternate!• In two’s – one person recites all the

numbers from 1 to 100• The other person raises their hand at any

number that can be divided by 3 or …• Divided by 4 or …• Divided by 3 and 4 or …• Divided by 5You can use a number square to help you!

Parents’ booklet

• Contains the following – • Information on the new curriculum• Some information on mental maths and the

importance of this skill throughout primary school

• An overview of expected progression within the four types of calculation

• Detailed examples and methods for the four types of calculation

• Real life contexts• Useful websites

Useful websites• www.bbc.co.uk/schools/ks2bitesize/maths/Really good resources and games for all areas of numeracy that you would expect from

the BBC. Also includes other Primary subjects.• www.woodlands-junior.kent.sch.uk/maths/timestable/interactive.htmAn excellent school website offering links to games to help children with speed of recall

for times tables.• www.topicbox.co.uk/browse.php?subject=MathsA huge site that is easy to navigate around. All topics of numeracy are well organised so

you can easily find what you’re looking for. Also includes other Primary subjects.• www.learningclip.co.ukYou will need to register for free but contains lots of activities and printable worksheets

that consolidate classroom work.• www.ictgames.com/resources.htmlScroll down to themes and locate the easy to navigate numeracy areas. Each game has a

clear learning objective and suggested year group. Excellent games!• www.counton.orgHuge amount of games and puzzles. Also click on the ‘links’ tab to find lots of links to

other maths sites.• www.mathplayground.com/games.htmlAn enjoyable American site that has lots of numeracy games.

Key MessagesKey MessagesTo develop written calculation strategies, children need:To develop written calculation strategies, children need:

o Secure mental strategies from YR.Secure mental strategies from YR.

o A solid understanding of the number system.A solid understanding of the number system.

o Practical, hands on experience including counters and base 10 Practical, hands on experience including counters and base 10 apparatus.apparatus.

o Visual images including number lines and arrays.Visual images including number lines and arrays.

o Experience of expanded methods to develop understanding and Experience of expanded methods to develop understanding and avoid rote learning.avoid rote learning.

o Secure understanding of each stage before moving onto the next.Secure understanding of each stage before moving onto the next.

o They should have these questions at the forefront of their minds:They should have these questions at the forefront of their minds:

‘ ‘Can I do it in my head? If not which method will help me?’Can I do it in my head? If not which method will help me?’

Last thought…Last thought…This generation of children will experience a muchThis generation of children will experience a muchwider understanding of the subject than previouswider understanding of the subject than previousones.ones.

They are being educated for the 21They are being educated for the 21stst century century using a whole new range of technology backed upusing a whole new range of technology backed upby the results of educational research.by the results of educational research.

Don’t expect them to be able to do the kind ofDon’t expect them to be able to do the kind ofcalculations you were subjected to at the same calculations you were subjected to at the same age. Their learning is focused on understanding age. Their learning is focused on understanding and not number crunching. and not number crunching.

Thank you

• Thank you for attending this parents’ evening

• Please stay for;

• Any feedback• Exploring resources• Questions