# Mathematics

### Welcome to the Mathematics Department

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#### "Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."  - David Hilbert

Mr Goulding
e-mail: mgoulding4.310@parkhighstanmore.org.uk

### Introduction

Mathematics is important in everyday life and we all use it daily. Your child will find that many jobs require an understanding of mathematical concepts and college places depend on good results. Most subjects use ideas encountered in Mathematics. It is a core subject and it is therefore compulsory and is studied up to the school leaving age of 16. Studying Mathematics will allow your child to develop Problem solving, Logical reasoning and the ability to think in abstract ways.

Typically Mathematics lessons involve project-based tasks with group investigational activates, whiteboards, peer teaching and mathematical puzzles. We find that students enjoy their mathematics and become more confident once they have more freedom to pursue and explore the subject.

Don’t forget to make sure your child is properly equipped for Mathematics; they should have a ruler, protractor, pair of compasses, calculator, black pen, blue pen, green pen, pencil and their maths books for every lesson. Equipment packs and calculators are available to purchase from the Mathematics Department.

## Key Stage 3

The Key Stage 3 mathematics curriculum is designed to develop in our students a strong grasp of number facts and arithmetic as the basis for much of which will follow. When young people’s knowledge, skills and understanding of number are sound, we move to algebra – algebra being essentially generalised arithmetic - so the move is made from the concrete (arithmetic) to the abstract (algebra). This will include the solving of simple linear equations and the formation of formulae to describe patterns and sequences in the first instance and later develop into factorising and solving quadratic expressions and equations and solving simultaneous linear equations. We also look at graphical representation of algebraic equations.

An understanding of shape and space in the world around us is developed through studying geometry, which includes traditional methods of construction using pencils, compasses and straight-edges. Geometry is also probably the richest context in which we get to teach formal reasoning, something that is at the heart of mathematicians’ art of persuading others of the truth of their discoveries!

In order that our young people develop into active, participating citizens, we must equip them with the knowledge, skills and understanding to interpret and question statistical information with which they may be presented in the press or in broadcast media, including how to recognise potential bias. We do this through a study of data-handling techniques and of probability, beginning with very simple representations such as bar charts and line graphs, moving to pie charts when we are certain that the young people’s skills with a protractor are good enough.

The mathematics curriculum is the very essence of a spiral or helical curriculum: these are the four areas to which we return, time after time, going a little deeper at each iteration, building upon that which has been previously learnt.

## Year 7

Mathematics in Year 7 is taught in mixed ability groups. They will have 4 lessons a week. Typically, students will experience a variety of lessons across the year, which consists of puzzles, activities, problem solving, investigations and project-based learning.

They will also be building upon this learning by using and applying the Mathematical skills they have learnt, in solving contextual problems.

Autumn Spring Summer

Number – Calculations, types of numbers, fractions and percentages

Geometry –Constructions, Perimeter and Area

Statistics – collecting and recording data

Algebra – algebraic manipulation including substitution, expanding and factorising

Number – Fractions, decimals and percentages

Geometry – Surface and volume of 3D shapes

Geometry – Property of 2D shapes and angles

Algebra – Linear equations and sequences

Geometry – Transformations and constructions.

Probability

Ratio and Proportion

Algebra – Straight line graphs and problem solving

Problem solving activities and end of term project Statistics – Constructing and analysing graphs Problem solving activities and end of term project

Across the academic year, students will have the opportunity to apply their learning to a variety of tasks such as the Frogs Investigation, the Bedroom Project, and the Planning a Holiday project.

Knowledge Organisers:

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KS3 Assessment:

Home learning is allocated on a weekly basis. Typically, this will take the form of MyMaths and MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.

In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course.  Appropriate preparation in the form of revision (www.mymaths.co.ukwww.emaths.co.ukis expected with sufficient planning and organisation to ensure each student fulfils their potential.

## Year 8

Mathematics in Year 8 is taught in mixed ability groups. They will have 4 lessons a week. Typically, students will experience a variety of lessons across the year, which consists of puzzles, activities, problem solving, investigations and project-based learning.

They will also be building upon this learning by using and applying the Mathematical skills they have learnt, in solving contextual problems.

Autumn Spring Summer

Number – Calculations, number properties, negatives, decimals, accuracy

Number - Fractions, percentages

Ratio and Proportion

Geometry – Area and perimeter, angles,

Algebra – Equations, functions

Geometry – Volume, angles, plans and elevations

Algebra - Expressions, expanding, factorising, sequences

Geometry – Units, surface area, angles, construction, loci

Geometry – Transformations.

Statistics – Statistical diagrams, statistical measures, data

Geometry –Constructions and loci

Algebra – Straight line graphs, real life graphs, trial and improvement

Problem solving activities and end of term project

Problem solving activities and end of term project

Problem solving activities and end of term data project

Across the academic year, students will have the opportunity to apply their learning to a variety of tasks such as the Hurdles Investigation, the Cake Shop Project, and the Statistics project.

Knowledge Organisers:

If you would like to view this content please

KS3 Assessment:

Home learning is allocated on a weekly basis. Typically, this will take the form of MyMaths and MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.

In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course.  Appropriate preparation in the form of revision (www.mymaths.co.ukwww.emaths.co.ukis expected with sufficient planning and organisation to ensure each student fulfils their potential.

## Year 9

Mathematics in Year 9 is also taught in mixed ability groups. They will have 4 lessons a week. Pupils will cover content that supports the transition from Key stage 3 to key stage 4.

We ensure that the common content from both the Key stage 3 and 4 curriculum is covered in depth and pupils are exposed to a range of challenges, including problem solving and non-standard questions. This ensures pupils start year 10 with a secure knowledge of the fundamentals.

In order to further support the transition, the scheme of work begins to use more GCSE language and GCSE style questions to ensure pupils get used to this from an early stage.

Autumn Spring Summer

NUMBER - Multiples, factors & primes

NUMBER – Power, roots and standard form

NUMBER – Power, roots, standard form and surds

NUMBER – Fractions calculations

NUMBER – Using ratio, direct and inverse proportion

NUMBER – Significant figures and bounds

NUMBER - Using percentages and reverse percentages

ALGEBRA - Straight line graphs

NUMBER – Using ratio, direct and inverse proportion

NUMBER – Significant figures

ALGEBRA - Algebraic manipulation

ALGEBRA – Sequences

ALGEBRA – Expressions, expanding, factorising, substitution and formulae

G&M – Metric and imperial units

G & M - Constructions

ALGEBRA – Linear equations

G & M - 2D area and perimeter

G & M - Symmetry, shapes & angles, bearings

G & M – Pythagoras Theorem

G & M - Constructions

G & M - 3D Solids: Surface area and volume

G & M – Transformations

S & P - Graphical Representations

G & M - Similarity and congruency

G&M – Trigonometry with the right angle

S&P – Tree diagrams

S & P - Averages from a table

S & P – Probability:  Venn Diagrams and set notation

S & P - Scatter Graphs

Multiplicative reasoning

KS4 Assessment:

Home learning is allocated on a weekly basis. Typically, this will take the form of MyMaths and MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.

In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course.  Appropriate preparation in the form of revision (www.mymaths.co.ukwww.emaths.co.ukis expected with sufficient planning and organisation to ensure each student fulfils their potential.

### Key Stage 4

During KS4 students are taught in two bands each consisting of sets 1 to 2 and three mixed ability groups. Mixed ability groups are smaller groups allowing for bespoke support and differentiated teaching. Assessment and scheme of learning are at a level appropriate for each ability group where students are prepared for Higher and Foundation tier.

In the Summer Term, Year 10 students sit a formal internal exam which will consist of all elements taught throughout the course.  Year 11 students will sit a formal internal mock exam in November and will sit an external GCSE Mathematics exam using Edexcel Exam board.

The Schemes of Learning are organised in six strands which comprises of Numbers and Number System, Ratio and Proportion, Algebra, Shape Space and Measures, Statistics and Probability, Using and applying Mathematics for problem solving and reasoning.

All students who follow this course will be given home learning weekly on MyMaths and MathsWatch. Appropriate preparation in the form of revision is uploaded on SharePoint to ensure each student fulfils their potential.

## Year 10

Autumn Spring Summer

ALGEBRA: Linear expressions

G & M: Compound measures

ALGEBRA: Linear equations

NUMBER: Rounding and bounds

ALGEBRA : Straight line graph

G & M: Similarity and Congruency

ALGEBRA : Rearranging formulae

ALGEBRA : Linear inequalities

S & P: Probability

ALGEBRA : Sequences

NUMBER :  Fraction and Ratio

ALGEBRA: Simultaneous equations

ALGEBRA : Algebraic proof

NUMBER : Percentages

ALGEBRA: Graphs

G & M : Loci and Constructions

S & P : Graphs, Tables and Charts

ALGEBRA : Simultaneous equations

G & M: Pythagoras theorem 2D and 3D

S & P : Interpreting and representing data

ALGEBRA : Graphs

NUMBER:  Proportion

G & M : Vectors

G & M: Angles and properties of shapes

G & M:  Trigonometry with right angle triangle and non-right-angle triangle

G & M : Transformations

G & M: Volume and surface area shapes

G & M : Arcs and sectors

NUMBER: Indices and Standard Form

NUMBER: Surds

Problem solving on topics taught in Spring

S & P: Sampling

Problem solving on topics taught in Autumn   Problem solving on topics taught in Summer
The new GCSE Mathematics specification covers a broader and deeper mathematical content, delivered through a single extended GCSE which can be taken at higher level or foundation level. Higher tier will include questions that will stretch the most able. Foundation tier will focus on core mathematical understanding and skills for all students to master.

KS4 Assessment:

All students who follow this course will be given home learning weekly.  Wider reading is always useful either from the websites offered or from the textbook or as directed by their classroom teacher.

In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course.  Appropriate preparation in the form of revision should be taken seriously with sufficient planning and organisation to ensure each student fulfils their potential.

Examination Board :

Edexcel

Edexcel GCSE (9  1)  Pearson Mathematics Higher Student Book

Edexcel GCSE (9  1) Pearson Mathematics Foundation Student Book

Mathematics GCSE for Edexcel Problem Solving Book Higher

Mathematics GCSE for Edexcel Problem Solving Book Foundation

Revision guide for the New GCSE Grade 9 1 Course

Practice workbook for the New GCSE Grade 9 – 1 Course

Practice papers with answers for the New GCSE Grade 9 – 1 Course

## Year 11

Autumn Spring Summer

G & M : Circle and Circle theorem

G & M: Volume and Surface Area of shapes

Past papers and Revision

Problem Solving

ALGEBRA : Algebraic Fractions

G & M Revision: Vectors

ALGEBRA : Gradients and area under curves

ALGEBRA Revision: Quadratic expressions and equations

G & M:  Trigonometry with right angle triangle and non-right-angle triangle

ALGEBRA Revision: Rearranging Formulae and Sequences

ALGEBRA: Functions

ALGEBRA: Transforming Graphs

S & P: Interpreting and Representing Data

G & M: Arcs and sectors

G & M: Transformations

S & P: Histogram

ALGEBRA: Non linear graphs

G & M: Trigonometry

G & M: LOCI and constructions with bearings

ALGEBRA: Algebraic proof

S & P: Probability

Public Exam

ALGEBRA: Graphical Inequalities

NUMBER: Proportion

S & P: Sampling

G & M Revision: Angles and properties

Algebra: Iteration

G & M Revision: Similarity and Congruency of shapes with bearings

In the last year of this GCSE course, most students are expected to complete the course materials by the end of the first term, with an end of term mock examination. In the second term students will be consolidating their knowledge and preparing for their terminal examination.

The new GCSE Mathematics specification covers a broader and deeper mathematical content, delivered through a single extended GCSE which can be taken at higher level or foundation level. Higher tier will include questions that will stretch the most able. Foundation tier will focus on core mathematical understanding and skills for all students to master.

KS4 Assessment:

All students who follow this course will be given home learning weekly.  Wider reading is always useful either from the websites offered or from the textbook or as directed by their classroom teacher.

In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course.  Appropriate preparation in the form of revision should be taken seriously with sufficient planning and organisation to ensure each student fulfils their potential.

GCSE mathematics - 100% marks in terminal examination sat in June.

The GCSE Mathematics specification will be examined by three written papers, each of 1½ hours. The first paper will be assessed without the use of a calculator; calculators will be expected for papers 2 and 3. There will be no difference in the content or assessment objectives assessed in each of the papers.

GCSE Mathematics

Paper 1: Non-calculator

1 hour 30mins 80 marks Exam 33.3%

Paper 2: Calculator

1 hour 30mins 80 marks Exam 33.3%

Paper 3: Calculator

1 hour 30mins 80 marks Exam 33.3%

#### Course Specification:

Edexcel 1MA1   GCSE Mathematics A Linear

#### Qualification obtained:

GCSE Mathematics Higher

GCSE Mathematics

GCSE Mathematics Foundation

Edexcel GCSE (9  1)  Pearson Mathematics Higher Student Book

Edexcel GCSE (9  1) Pearson Mathematics Foundation Student Book

Mathematics GCSE for Edexcel Problem Solving Book Higher

Mathematics GCSE for Edexcel Problem Solving Book Foundation

Revision guide for the New GCSE Grade 9 1 Course

Practice workbook for the New GCSE Grade 9 – 1 Course

Practice papers with answers for the New GCSE Grade 9 – 1 Course

• Innumeracy by John Paulos, Farrar-Straus edition 2001
• Life by Numbers by Keith Devlin, John Wiley and sons.
• How Maths works by Carol Vordenman, Dorling Kindersley Limited.
• How Puzzling by Charles Snape and Heather Scott, Cambridge Universe Press.
• Maths Curse by Jon Scieszka and Lane Smith, Puffin Books
• Murderous Maths series by Kjartan Poskitt, Scholastic.
• How Long is a Piece of string by Rob Eastway, Robson Books
• Why Do Busses come in threes? by Rob Eastway, Robson Books.
• 1089 and all that by David Acheson, Oxford University Press
• The Parrot’s Theorem by Denis Gued

Mathematics

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