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Mathematics

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. At  St John’s we aim to provide a high-quality mathematics education, a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.
 
Using the national curriculum for mathematics, we aim to ensure that all pupils:
·  become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems, 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.
 
Mathematics is an interconnected subject in which pupils need to be able to move fluently between different mathematical ideas. Pupils are encouraged to make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving problems. They also have the opportunity to apply their mathematical knowledge to science and other subjects.
 
The expectation at St John’s is that the majority of pupils in a class will move through the programmes of study at broadly the same pace. Decisions about when to progress are always based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly are challenged to develop mastery and apply their understanding at greater depth. Those who are not sufficiently fluent with earlier material have the time to consolidate their understanding through additional practice, before moving on.
 
By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages.

Mathematics lessons include a concrete, pictorial and abstract approach where pupils use concrete manipulatives to demonstrate mathematical concepts before drawing and working with pictorial representations. Both these aspects then lead into working with the abstract nature of mathematics written calculations with a good understanding of the constructs behind them.

 

At St John’s we plan our mathematics lessons using a structure from the White Rose Maths Hub in Halifax. This blocked approach gives pupils extended periods of time to work on mathematical concepts and embed their learning. This is with a view to developing deeper understanding in all pupils and encouraging them to achieve mastery.

Please find below the long term plans for each year group outlining the blocks covered throughout the year.

Mathematics Curriculum Map

 

Autumn

Spring

Summer

Reception

Counting sets 0-10

Recognising 0-10

2D shapes

Language of size, weight and length

Counting and recognising numbers 0-10

Finding the total of 2 groups

1 more and less up to 10

3D shapes

Ordering items by length, height, weight, capacity

Counting sets 0-20

Recognising 0-20

Begin to double, halve and share

Positional language

 

Year 1

Place Value 0-10

Addition

Geometry and 2D shape

Place value 0-20

Addition and subtraction within 20

Place value within 50

Multiples of 2, 5 and 10 to be included

Length and height

Weight and volume

Multiplication and division

Number – Fractions

Position and Direction

Place value within 100

Money and Time

Year 2

Place value

Addition and subtraction

Money

Multiplication

Division

Statistics

Shape

Fractions

Length and height

Position and direction

Time

Mass, capacity and temperature

Year 3

Place value

Addition and subtraction

Multiplication and division

Multiplication and division

Money

Statistics

Length and perimeter

Fractions

Fractions

Time

Properties of shape

Mass and capacity

Year 4

Place value

Addition and subtraction

Length and perimeter

Multiplication and division

Multiplication and division

Area

Fractions

Decimals

Decimals

Money

Time

Statistics

Properties of shape

Position and Direction

Year 5

Place value

Addition and subtraction

Statistics

Length and perimeter

Multiplication and division

Multiplication and division

Fractions

Decimals

Percentages

Decimals

Shape

Position and direction

Measures

Year 6

Place value

Addition and subtraction

Multiplication and division

Fractions

Position and direction

Decimals

Percentages

Algebra

Converting units of measure

Perimeter, area and volume

Ratio

Problem solving

Statistics

Investigations

Calculations

 

Please click the link below to see our calculation progression policy. Take a look at this helpful diagram to see how we teach mathematical calculations through the school.

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