Maths
Course Director Ellen Johnson
The Mathematics Department has very high expectations for all students. We aim to create an environment where students can develop their potential, and build upon the mathematical skills and concepts experienced in earlier years. Students are shown the relevance and importance of Mathematics to the real world and the impact it has.
As a department we foster a positive attitude towards Mathematics and its applications. We aim to provide students with the knowledge of how to use and apply maths, and its potential to enrich the wider aspects of their education. We encourage and promote problem solving skills and techniques at all levels and across the range of mathematical topics, as well as encouraging students to recognise mathematical experiences in other curricular areas.
Maths
Foundation Year 10 Scheme of Work  
Key: Italic specification references are assumed prior knowledge and are covered in the prior knowledge check rather than the main teaching.  
Term  Unit/section title  GCSE (91) Specification reference 
Autumn 1 
1 Number 
Apply the 4 operations to decimals Factors, multiples and prime numbers including LCM and HCF Calculate with roots and integer indices Use prime factorisation Use standard units of measure Rounding and estimating 
2 Algebra 
Use and interpret algebraic notation, Substitution into formulae Simplify and manipulate algebraic expressions by collecting like terms, expanding brackets and factorising Index laws 

Autumn 2 
3 Graphs, tables and charts 
Standard ruler and compass constructions Standard units of measure Measure line segments and angles Interpret and construct tables, charts and diagrams Interpret, analyse and compare appropriate measures of central tendency and spread Scatter graphs 
4 Fractions and percentages 
Apply the four operations to integers, decimals and simple fractions Simplify fractions and find equivalent fractions. Prime factorisation, HCF and LCM Convert between decimals and fractions Round numbers to decimal places and significant figures Compare two quantities using percentages; calculate percentage change, original value problems and simple interest 

5 Equations, inequalities and sequences 
Solving linear equations algebraically and graphically Substitution into formulae Rearrange formulae nth term 

Spring 1 
6 Angles 
Use correct notation and vocabulary to describe shapes Know and use angle properties of triangles Angles in parallel lines Congruence and similarity Simple proofs Interior and exterior angles of polygons 
7 Averages and range 
Interpret and construct tables, charts and diagrams Use appropriate measures of central tendency and spread Sampling a population Estimating the mean 

8 Perimeter, area and volume 1 
Use standard units measure Estimation Know and apply formulae to calculate area and perimeter of shapes including composite shapes Calculate the surface area and volume of a 3D shape 

Spring 2 
9 Graphs 
Plot linear graphs Calculate the gradient and intercept of linear graphs Plot and interpret real life graphs 
10 Transformations 
Translation, reflection, rotation and enlargement Describe translations as 2D vectors Combine transformations 

Summer 1 
11 Ratio and proportion 
Share in a given ratio Write and simplify a ratio Solve problems involving direct and indirect proprtion Compound units Compare lengths, areas and volumes using ratio notation 
12 Rightangled triangles 
Know and use Pythagoras' Theorem Know and use Trigonometry 

13 Probability 
Calculate probabilities List outcomes Venn diagrams Relative frequency Tree diagrams 

Summer 2 
14 Multiplicative reasoning 
Solve problems involving percentage change Compound interest Solve problems involving direct and indirect proportion 
15 Constructions, loci and bearings 
Use scale factors, scale diagrams and maps Describe 3D shapes Standard ruler and compass constructions Draw accurate scale drawings Bearings Loci 

Foundation Year 11 Scheme of Work  
Term  Unit/section title  GCSE (91) Specification reference 
Autumn 1 
16 Quadratic equations and graphs 
Expand double brackets Factorise quadratic expressions, including the difference of two squares Plot and interpret quadratic graphs Solve quadratic equations algebraically 
17 Perimeter, area and volume 2 
Calculate exactly with multiples of π Know and apply formulae to calculate the area of triangles, parallelograms, trapezia; volume of cuboids and other right prisms Know and apply the formulae for the circumference and area of a circle Calculate the area and perimeter of semi circles and sectors 

18 Fractions, indices and standard form 
Multiply and divide fractions Index laws Write and interpret numbers in standard form Calculate with standard form N9 calculate with and interpret standard form A x 10^{n}, where 1 ≤ A < 10 and n is an integer. 

Autumn 2 
19 Congruence, similarity and vectors 
Use the basic congruence criteria for triangles Identify, describe and construct congruent and similar shapes. Addition and subtraction of vectors and multiplication of vectors by a scalar 
20 More algebra 
Recognise, sketch and interpret graphs of cubic and reciprocal functions Solve linear equations algebraically and graphically Solve simultaneous equations algebraically and graphically Rearrange formulae Solve problems involving direct and inverse proportion 

Spring  Preparation for the GCSE Examinations 
Higher Year 10 Scheme of Work  
Key: Italic specification references are assumed prior knowledge and are covered in the prior knowledge check rather than the main teaching.  
Term  Unit/section title  GCSE (91) Specification reference  
Autumn 1 
1 Number 
Written calculations Indices and roots Types of number eg HCF and LCM Estimation and rounding Simplify Surds 

2 Algebra 
use the symbols =, ≠, <, >, ≤, ≥ Calculations with fractions … Standard form Substitution Simplify and manipulate algebraic expressions Nth term of linear sequences. 

Autumn 2 
3 Interpreting and representing data 
Use standard units of measure Interpret and construct tables, charts and diagrams Use appropriate measures of central tendency and spread Scatter graphs 

4 Fractions, ratio and percentages 
Calculations with fractions … Recurring fractions Ratio problems Percentage problems 

5 Angles and trigonometry 
Angles in parallel lines Properties of quadrilaterals Apply angle facts Pythagoras’ theorem Trigonometry 

Spring 1 
6 Graphs 
Straight line graphs Interpret real life graphs Solve simple kinematic problems involving distance, speed and acceleration Direct and indirect proportion 

7 Area and volume 
Perimeter and area Units and accuracy Prisms Circles and spheres Pyramids and cones 

8 Transformations and constructions 
3D solids Transformations Bearings and scale drawings Constructions and loci 

Spring 2 
9 Equations and inequalities 
Solve quadratic equations Simultaneous equations Completing the square 

10 Probability 
Calculating probabilities Probability tree diagrams Relative frequency. Mutually exclusive events 

Summer 1  11 Multiplicative reasoning 
Compound measures Ratio and proportion 

12 Similarity and congruence 
Congruence and similarity Proofs 

13 More trigonometry 
Graphs of trigonometric functions Accuracy including bounds Sine and cosine rule Transformation of trigonometric graphs 

Summer 2 
14 Further statistics 
Sampling Cumulative frequency and box plots Histograms 

15 Equations and graphs 
Simultaneous equations graphically Graphs of quadratic equations 

Higher Year 11 Scheme of Work  
Term  Unit/section title  GCSE (91) Specification reference  
Autumn 1 
16 Circle theorems 
Equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point Apply and prove the standard circle theorems 

17 More algebra 
Simplify surd expressions involving squares and rationalise denominators Simplify and manipulate expressions involving algebraic fractions Difference of 2 squares Rearrange formulae Solve quadratic equations algebraically by factorising. 

Autumn 2 
18 Vectors and geometric proof 
Addition and subtraction of vectors, multiplication of vectors by a scalar; use vectors to construct geometric arguments and proof  
19 Proportion and graphs 
Sketch translations and reflections of a given function Plot and interpret reciprocal graphs and exponential graphs Calculate or estimate gradients of graphs and areas under graphs Solve problems involving direct and inverse proportion 

Spring  Preparation for the GCSE Examinations 