# Maths

The essence of math is not to make simple things complicated but to make complicated things simple ”.

Stan Gudder

### MANIPULATE

Mathematics allows us to understand how the entire universe works. It sheds illumination onto the most difficult of problems, our curriculum is designed to develop the skills needed to solve these problems. Mathematics allows us to progress and develop, and hopefully, to grow in knowledge, wisdom and self. Our curriculum has been designed to develop problem solving skills through manipulation and rearrangement of the problem into a more defined pattern or way of thinking, it allows us to change the structure to broaden the mind and enable understanding.

### MASTER

The Malling School’s Mathematical Curriculum is founded on a mastery scheme of work, offering students logical reasoning and explanation, cross topical links, and inclusion of every student.  It is the aim that students will work through the curriculum, manipulating information and ideas to become masters of this subject.

### MARVEL

It is the Mathematics aim to develop a sense of wonder, to question why the world is the way it is.  To broaden the pupils experience and capture their imagination.  We will also encourage questioning of understanding, to develop their conjecturing skills to test their own theories, to give the opportunity for experimentation with manipulating of situations, of numbers of letters.  To leave the lesson amazed at their own personal discoveries of maths in the world around them. ## Year 7 - KS3

Introduction

The maths curriculum is based on a mastery approach which supports each pupil individually to learn at a speed which suits their skills.  The order of the curriculum is such that it ensures a true understanding of the basic skills before looking beyond these.  It is therefore delivered in a specific order and not within a time frame.  The order of which is outlined below.  Year 7 concentrates on all aspects of number as this is the KEY skill needed for all of mathematics.

TOPIC

Place value and number

WHY?

Basic concept of place value for all numbers.

Time and money

Rounding and approximations
RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

WHY?

This includes decimals

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Multiplication and Division

WHY?

This includes decimals

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Indices

WHY?

These are also known as powers

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Order of operations

WHY?

Also known as BIDMAS / BODMAS

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Negative Numbers

WHY?

All calculations with positive and negative numbers

RESOURCES

Curriculum Booklet

Hegartymaths
TOPIC

Number Theory

WHY?

This looks at special numbers – prime, multiples , factors

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Fractions

WHY?

All operations with fractions and mixed numbers

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Percentages

WHY?

Finding percentages, increasing / decreasing by and more complex calculations with compound interest

RESOURCES

Curriculum Booklet

Hegartymaths
TOPIC

Using calculating and estimating

WHY?

This covers efficient use of a calculator

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Bounds

WHY?

This considers all possible values of a rounded number

RESOURCES

Curriculum Booklet

Hegartymaths

## Year 8 - KS3

Introduction

The year 8 curriculum covers all aspects of Algebra.  Algebra is the key component in maths to solving the majority of mathematical problems and therefore underpins a large portion of the maths curriculum.

TOPIC

Manipulating and Simplifying Expressions

WHY?

Basic language of algebra

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Linear Equations

WHY?

This involves solving all levels of equations

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Formulae

WHY?

This looks at substitution and rearranging of formula

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

The Cartesian Grid

WHY?

Coordinates

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

WHY?

Looking at simultaneous equations

Using graphs to solve problems
RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

Linear Inequalities

WHY?

Using the symbols <, >, ≤, ≥

RESOURCES

Curriculum Booklet

Hegartymaths
TOPIC

Sequences

WHY?

Looks at both linear and non-linear sequences

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

WHY?

Extends on previously learnt knowledge of manipulating and simplifying expressions taught at the beginning of the year.

RESOURCES

Curriculum Booklet

Hegartymaths

TOPIC

WHY?

Looking at expressions which contain the highest power of 2.

RESOURCES

Curriculum Booklet

Hegartymaths
TOPIC

WHY?

Applying knowledge from previous topic in complex situations

(it is likely here that some pupils will be revisiting previous topics rather than moving to the complex quadratics)

RESOURCES

Curriculum Booklet

Hegartymaths

## Year 9 - KS3

Introduction

The mastery year 9 SOW is currently being rewritten and will then focus on geometry, the outline below was created to cover aspects in Number and Algebra which had not yet been delivered through our previous SOW.

TOPIC

Basic number check

WHY?

This will include Place Value and Standard Form

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

General Check

WHY?
Ensure a firm understanding of all operations with both positive and negative numbers
RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Indices

WHY?

This unit looks at the laws of indices as well as calculations with indices (powers)

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Order of operation

WHY?

This is also known as BODMAS / BIDMAS

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Number Theory

WHY?

Looks at all special types of numbers – squares, cubes, factors, multiples and all associated calculations

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Fractions

WHY?

All operations with fractions and mixed numbers

RESOURCES

Curriculum Booklet

Homework Booklet
TOPIC

Percentages

WHY?

Finding percentages, increasing / decreasing by and more complex calculations with compound interest

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Manipulating Expressions

WHY?

This covers simplifying, expanding, substitution and factorising

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Forming Expressions

WHY?

This looks at the language used to form expressions in all situations

RESOURCES

Curriculum Booklet

Homework Booklet
TOPIC

Solving equations

WHY?

This look at solving all levels of linear equations

RESOURCES

Curriculum Booklet

Homework Booklet
TOPIC

Formulae

WHY?

Different types of formula and how to rearrange them

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Sequences

WHY?

Generating them and using the nth term

RESOURCES

Curriculum Booklet

Homework Booklet
TOPIC

Graphs

WHY?

This stretches from the basics of plotting coordinates to looking at cubic and reciprocal functions

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

WHY?

Expanding, factorising, solving and using graphs

RESOURCES

Curriculum Booklet

Homework Booklet

TOPIC

Simultaneous Equations

WHY?

Solving both graphically and algebraically

RESOURCES

Curriculum Booklet

Homework Booklet

## Year 10 - KS4 - Exam board - edexcel

Introduction

This is the current year 10 SOW which moves away from the mastery SOW being delivered in KS3.  However, if does focus on Number and Algebra as these are the key elements of a maths curriculum and is delivered with a mastery approach and therefore all classes will move through this at a pace which suits them.

Some of the content is for the higher tier only.

TOPIC

Place Value

WHY?

A recap of place value, moving onto standard form to include calculations

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Indices

WHY?

Know and apply the laws of indices

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Number Theory

WHY?

Looks at all special types of numbers – squares, cubes, factors, multiples and all associated calculations

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Fractions

WHY?

All operations with fractions and mixed numbers

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Percentages

WHY?

Finding percentages, increasing / decreasing by percentages moving onto complex calculations with percentages

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Manipulating / Simplifying Expressions

WHY?

Simplifying, expanding and factorising is covered in this topic.

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department
TOPIC

Linear Equations

WHY?

Solving all levels of linear equations

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Formulae

WHY?

This includes substitution into complex formulae and rearranging

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Linear Graphs

WHY?

Looks at the equation of a straight line

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department
TOPIC

Sequences

WHY?

This covers both linear and non-linear sequences

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

WHY?

Going beyond expanding 2 brackets

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

WHY?

Covers solving and all methods of factorising as well as plotting quadratic graphs

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department
TOPIC

Simultaneous Equations

WHY?

Solving algebraically and graphically.

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Further graphs

WHY?

Cubic and reciprocal and real life graphs

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

TOPIC

Iteration

WHY?

Use to solve cubic and quadratic equations.  Use function notation and look at inverse and composite functions

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department
TOPIC

Algebraic Fractions

WHY?

All calculations of fractions but with numerator and denominators as algebraic expressions

RESOURCES

Hegartymaths

Curriculum Booklet

Revision guides available from the maths department

## Year 11 - KS4 - Exam board - edexcel

There is no SOW for year 11 as this is purely a revision year.  We use assessment information to prioritise class teaching and support the pupils with their independent study by providing them with detailed analysis of formative assessments.