 # 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

Place Value and the Number Line Understanding Properties of Shapes and Angles Calculating with Fractions and Decimals
Calculation: Addition and Subtraction Dividing with Fractions Calculating in Different Dimensions
Visualising and Constructing Reading and Calculating Time Checking, Approximating and Estimating
Calculation: Multiplication and Division Exploring Fractions, Decimals and Percentages Describing and Applying Transformations
Understanding Properties of Shapes and Angles Working with Units of Measure Constructing and Interpreting Graphs and Charts
Number Theory and Problem Solving Getting Ready for Year 6
Drawing and Measuring Angles
Year 6

Autumn Term

Spring Term

Summer Term

Understanding Place Value and Number Systems Exploring Fractions, Decimals and Percentages Checking Approximating and Estimating
Calculation: Addition, Subtraction, & Multiplication Working with Units of Measure Describing and Applying Transformations
Measuring and Drawing Angles Working with Fractions, Decimals & Percentages Constructing and Interpreting Graphs and Charts
Calculation: Division Calculating with Fractions & Decimals Calculating and Interpreting Averages
Number Theory: Structure and Relationships Calculating in Different Dimensions Getting ready for Year 7
Investigating Properties of Shapes and Angles Exploring Sequences and Equations
Formulae and Conversion
Year 7

Autumn Term

Spring Term

Summer Term

Number Theory and Place Value Working with Expressions and Formulae Calculating: Fractions, Decimals, and Percentages
Comparing and ordering on the Number Line Equivalence in Fractions, Decimals & Percentages Solving Equations
Calculating and Place Value Generating and Describing Sequences Calculating in Different Dimensions
Visualising and Constructing Proportional Reasoning Transformations and Coordinate Geometry
Investigating Properties of Shapes and Angles Calculating: Fractions, Decimals and Percentages Checking, Approximating, and Estimating
Working with Units of Measure Constructing and Interpreting Graphs and Charts
Calculating and Interpreting Averages
Understanding Probability
Year 8

Autumn Term

Spring Term

Summer Term

Number Theory & Place Value Calculating: Fractions, Decimals, and Percentages Calculating in Different Dimensions
Fractions, Decimals and % on the Number Line Proportional Reasoning Calculating and Interpreting Averages
Visualising and Constructing Exploring Sequences Coordinate Geometry
Working with Expressions and Formulae Investigating Geometry Constructing and Interpreting Graphs and Charts
Calculating: Fractions, Decimals & Percentages Probability Getting ready for High School
Solving Equations