 # Mathematics

## A mathematician, like a painter or a poet, is a maker of patterns… The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Beauty is the first test. – GH Hardy

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. A high-quality mathematics education therefore provides 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.

At Wellfield, we promote a mathematics growth mindset culture that believes EVERYONE can achieve highly in maths: making rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. These skills are consolidated and enhanced with opportunities to apply and develop them across the whole curriculum and through enrichment opportunities.

##### Curriculum Aims

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.
##### Curriculum
Year 5

Autumn Term

Spring Term

Summer Term

Number:

Place Value

Multiplication and Division

Measurement:

Area and Perimeter

Statistics:

Reading and Interpreting graphs and tables

Number:

Multiplication and Division

Fractions

Decimals and Percentages

Number:

Decimals

Geometry:

Properties of Shapes

Position and Direction

Measurement:

Converting units of measure

Year 6

Autumn Term

Spring Term

Summer Term

Number:

Place Value

Fractions, Decimals and Percentages

Geometry:

Position and Direction

Number:

Algebra

Ratio

Measurement

Perimeter, area and Volume

Converting units of measure

Statistics

Line Graph and Pie charts

Finding the mean

Geometry

Measuring and drawing angles

Angle facts

Geometry

Circles

Constructing shapes

Nets of 3D shapes

SATs and SATs Week

Consolidation of Year 6 Content

Transition to Key stage 3

Year 7

Autumn Term

Spring Term

Summer Term

Algebraic Thinking:

Sequences

Understanding and using algebraic notation

Equality and Equivalence

Place Value and Proportion

Place Value

Ordering integers and decimals

Fraction, decimal and percentage equivalence

Applications of Number

Problem solving with addition and subtraction

Problem solving with multiplication and division

Fractions and Percentage amounts

Directed Number

Operations and equations with directed number

Fractional Thinking

Lines and Angles

Constructing, measuring and using geometric notation developing geometric reasoning

Reason with number

Developing number sense

Sets and probability

Prime numbers and proof

Year 8

Autumn Term

Spring Term

Summer Term

Proportional Reasoning

Ratio and Scale

Multiplicative change

Enlargement and Similarity

Multiplying and dividing fractions

Developing Geometry

Working in the Cartesian plane

Collecting and representing data

Tables and probability

Algebraic Techniques

Brackets, similarities and equations

Sequences and the nth term

Indices

Developing Number

Fractions and Percentages

Standard form

Developing Number

Number Sense

Reasoning with geometry

Angles in parallel lines and polygons

Area of trapezia and circles

Line Symmetry and reflection

Pythagoras' theorem

Reasoning with Data

Data handling cycle

Measure of location

Transition to High School