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# Hever Church of England Aided Primary School

# Mathematics

**Mathematics at Hever **

The Hever approach to mathematical learning

At Hever we aim to inspire all children to reach their full academic potential. In mathematics this means ensuring a curriculum that is fully inclusive of all children which:

- Develops children’s knowledge and understanding of Mathematical concepts whilst enabling them to practice and hone skills and methods;
- Enables them to think critically and communicate their understanding;
- Give them opportunities to apply learnt mathematical skills in different contexts across the curriculum.
- Provides opportunities to develop problem solving skills useful for maths and across the curriculum.

As a result of their learning in mathematics and problem solving across the curriculum children will:

- Be prepared for applying their skills effectively in everyday life situations, in their future learning and in the work place.
- Have the building blocks in place and to provide a solid foundation to lead onto secondary, further and higher education.

Through teaching with a problem solving approach, children will learn to understand, distill and clarify information; consider what they know that will help them to solve problems, realising what they need to know next; create systems and strategies, organising information in a way that helps find patterns and ultimately solutions and to communicate and present their findings effectively.

At Hever we teach Maths using 'learning journeys' and a mastery approach which enables children to master and have confidence in the three strands of the curriculum.

The Strands of the curriculum

- Fluency - all good mathematicians have excellent fluency in mathematical concepts. Children at Hever concentrate first on the building blocks of maths concepts, using mental and written arithmetic, counting and place value to ensure they have solid building blocks to base their learning on.
- Reasoning - reasoning and explaining 'why' is an essential mathematical skill and we encourage children to be curious when looking at patterns in maths. Being able to explain the reason behind a mathematical calculation or concept ensures that children really do understand the maths they are learning.
- Problem solving - this is where children are supported to use and apply the skills they have learned in the other strands. Children are asked to solve problems including: logic, diagram, finding all possibilities and visual puzzles and problems.

Learning journeys

Teachers at Hever carefully plan units of work to ensure that children build up skills over a period of time in order to master areas of maths.

Key objectives for each year group

Each year group works towards the programme of study as outlined in the National Curriculum. However, at Hever, we have selected certain 'Key Skills' which we expect children to master each year. Mastery of these skills ensures that children are confident mathematicians who are ready to progress to the next years' program of study.

Year 1

Count, read and write numbers to 100 in digits.

Count to and across 100, forwards and backwards from any number.

Know number bonds and related subtraction facts to 20.

Recognise, find and name 1/2 of objects, shapes or quantities.

Tell the time to the hour and half past and draw hands on a clock.

Compare, describe and solve practical problems for length, mass, capacity and time.

Recognise and name common 2D and 3D shapes.

Year 2

Compare and order numbers up to 100 and use < > and = signs.

Recognise odd and even numbers,

Solve problems for addition and subtraction using objects and practical representation., including giving change in money.

Solve problems involving multiplication and division using materials, arrays etc.

Apply their increasing knowledge of mental and written methods.

Recognise, find name and write the fractions 1/2, 1/3, 1/4, 2/4 and 3/4.

Compare and sort common 2D and 3D shapes and everyday objects.

Use mathematical vocabulary to describe position, direction and movement.

Ask and answer questions about totalling and comparing categorical data.

Use place value and number facts to solve problems.

Year 3

Recognise the place value of each digit in a 3-digit number.

Multiply and divide a 2-digit number by a 1-digit number.

Add and subtract amounts of money to give change using both £ and p.

Recognise, find and write fractions of a discrete set of objects.

Recognise and show, using diagrams, equivalent fractions with small denominators.

Tell and write the time from an analogue clock and 12 and 24 hour clocks.

Identify right angles (including how many there are in 1/4, 1/2, 3/4 and full turns).

Measure and compare, add and subtract lengths (m/cm/mm), mass (kg/g) and capacity (l/ml).

Interpret and present data using bar charts, pictograms and tables.

Year 4

Order and compare numbers beyond 1000.

Solve addition and subtraction 2 step word problems involving a variety of different contexts, deciding which operation to use and why.

Solve simples measure and money problems involving fractions and decimals to 2 decimal places.

Recognise and show, using diagrams, families of common equivalent fractions.

Plot specified points and draw sides to complete given polygons.

Compare and classify geometric shapes including quadrilaterals and triangles, based on properties and sizes.

Identify lines of symmetry in 2D shapes presented in different orientations.

Solve comparison , sum and difference problems using information in bar charts, pictograms and tables.

Year 5

Read, write, order and compare numbers up to 1,000,000 and determine the value of each digit.

Read, write, order and compare numbers with up to 3 decimal places.

Add and subtract whole numbers with more than 4 digits.

Interpret negative numbers in context, count backwards and forwards with positive and negative whole numbers including through 0.

Solve problems involving multiplication and division including using knowledge of factors, multiples, squares and cubes.

Solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates.

Read and write decimal numbers as fractions e.g. 0.71 = 71/100

Compare and order fractions whose denominators are all multiples of the same number.

Draw given angles and then measure them in degrees.

Distinguish between regular and irregular polygons based on reasoning about sides and angles.

Complete, read and interpret information in tables, including timetables.

Measure and calculate the perimeter of compound shapes with missing sides (rectilinear shapes).

Calculate and compare the area of rectangles including using standard units.

Solve problems which require knowing percentages and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with denominators that are multiples of 10 and 25.4

Identify multiples and factors, including finding all factor pairs of a number and common factors of 2 numbers.

Year 6

Multiply multi-digit numbers up to 4 digits by a 2-digit whole number.

Divide numbers up to 4 digits by a 2-digit number and interpret remainders as whole number remainders, fractions or by rounding, as appropriate for the context.

Use written division methods in cases where the answer has up to 2 decimal places.

Use negative numbers in context and calculate intervals across zero.

Solve multi-step word problems involving a variety of different contexts (money, measurement, time etc).

Solve problems involving the calculation of percentages and the use of percentages for comparison.

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

Solve problems which require answers to be rounded to specified degrees of accuracy.

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Recall and use equivalences between simple fractions, decimals and percentages in different contexts.

Compare and classify geometric shapes based on properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons.

Describe positions on the full coordinate grid (all 4 quadrants).

Interpret pie charts and line graphs and use these to solve problems.

Calculate and interpret the mean as an average.

Use simple formulae for algebra.

Mental Maths at Hever - Times Tables Rock Stars

The national curriculum requires that children know their times tables facts up to 12 by the end of year 4.

We use Time Tables Rock Stars throughout key stage 2 and children can log in at home to work on their knowledge and compete against themselves, others at Hever and nationally. Each child has their own unique login and once registered, they can create their own 'Rock Star' avatar and name which ensure they are completely safe and anonymous while using the website.

Log in here to start: https://www.ttrockstars.com/

Maths websites for learning at home

http://amathsdictionaryforkids.com/

http://www.bbc.co.uk/bitesize/ks1/maths/

http://www.bbc.co.uk/bitesize/ks2/maths/

http://www.ictgames.com/resources.html

http://www.mathsisfun.com/index.htm

http://www.primarygames.co.uk/

http://resources.woodlands-junior.kent.sch.uk/maths

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