Maths
Mathematics is the language of the universe, learning and exploring it is a creative and satisfying endeavour.
“It is impossible to be a mathematician without being a poet in soul” Sofia Kovalevskaya
Curriculum Intent
Through effective Teaching and Learning, we deliver and exceed the national curriculum in mathematics. The learning journey is mapped, so students are constantly building and reinforce their mathematical learning, such that they are skilled in both conceptual understanding and application.
Students will be able to succeed in national examinations and take their mathematics to use and apply to both other areas of learning and their wider lives.
Students will be logical, critical thinkers with a natural curiosity around problemsolving.
Learning in mathematics — what it will looks like
Key milestones of Teaching and Learning cycle in mathematics:
i. Pretesting
ii. Knowledge Organisers (KO’s)
iii. Retrieval testing
iv. KO testing
v. End of term assessment
vi. Now Try This (NTT) assessment follow up
This structure of learning applies for years 710. Year 11 follows a similar structure, with allowances for exam preparation. Sixth form learning involves greater elements of extended learning to master mathematical concepts.
Curricular Journey
The mathematics curriculum at Hillcrest allows students to develop and explore areas of mathematics in a logical and cumulative manner. Interconnection and review of topics if critical to our learning journey and students are allowed plentiful opportunities to apply learnt skills in a variety of contexts.
Key: Number (red), Geometry (orange), Algebra (green), Ratio and Proportion (blue), Probability and Statistics (purple)
Topics of the same colour interconnect, though there is regular overlap between skills.
For example, in term 3a, in year 8, students study angles, which is part of geometry. However, they will require the use of number and algebra skills to support this work.
Key Stage 3 purpose: to establish fluency, reasoning and problemsolving. To explore concepts with clarity and depth
Key Stage 3
Year 7
Term 1a  Making generalisations about the number system 1  Number systems and axioms 
Factors and multiples and order of operations  
Term 1b  Making generalisations about the number system 2  Positive and negative numbers 
Expressions, equations and sequences  
Term 2a  2D Geometry  Angles 
Classifying 2D shapes  
Constructing triangles and quadrilaterals  
Term 2b  The Cartesian plane  Coordinates 
Area of 2D shapes  
Transforming 2D figures  
Term 3a  Fractions  Primes, factors and multiples 
Fractions  
Term 3b  Ratio and Proportion  Ratio 
Percentages  
Year 8
Term 1a  Equations and Inequalities  Forming and solving equations 
Forming and solving inequalities  
Term 1b  Graphs  Linear graphs 
Accuracy and estimation  
Term 2a  Proportional reasoning  Ratio, real life graphs and rate 
Direct and inverse proportion  
Term 2b  Representations and reasoning with data  Univariate data 
Bivariate data  
Term 3a  Angles  Parallel lines 
Angles in Polygons  
Bearings  
Term 3b  Area, volume and surface area  Circles and composite shapes 
Volume of prisms  
Surface area of prisms  
Year 9
Term 1a  Probability  Probability 
Sample spaces  
Term 1b  Quadratics  Quadratic expressions and equations 
Term 2a  Geometry of triangles  Construction, congruence and loci 
Pythagoras' Theorem  
Term 2b  Ratio and Proportion  Enlargement and similarity 
Surds and trigonometry  
Term 3a  Simultaneous Equations  Solving graphically 
Solving algebraically  
Term 3b  Reasoning with number  Indices and standard form 
Growth and decay  
Following the Key Stage 3 curriculum, students enter the Higher (grades 49) or Foundation (grades 15) GCSE pathway.
Key Stage 4 purpose: to build on prior knowledge and acquire advanced skills. To apply knowledge and skills to variety of contexts.
Key Stage 4 (GCSE)
Year 10
Year 10 Higher  Year 10 Foundation  
Term 1a  Basic number  Basic Number 
Fractions, ratio and proportion  Measure and Scale Drawings  
Statistical diagrams and averages  Charts, tables and averages  
Number and sequences  
Term 1b  Algebra  sequences  Angles 
Ratio, proportion and rates of change  
Angles  Number properties  
Transformations, constructions and loci  
Term 2a  Algebraic manipulation  Approximations 
Decimals and Fractions  
Length, area and volume  Linear Graphs  
Term 2b  Linear Graphs  Expressions and Formulae 
Rightangled triangles 
Ratio, speed and proportion 

Term 3a  Similarity  Perimeter and Area 
Transformations  
Powers and Standard Form  Probablility and Events  
Term 3b  Equations and Inequalities  Volume and Surface Area 
Rational numbers, terminating and recurring decimals  Linear Equations  
Year 11
Year 11 Higher  Year 11 Foundation  
Term 1a  Accuracy, Indices and Surds  Percentages and Compound Measures 
Percentages and Variation  
Quadratic Equations  Statistical representation and interpretations  
Term 1b  Quadratic Inequalities  Constructions and Loci 
Sampling and more complex diagrams  Curved shapes and Pyramids  
MOCK EXAMS  MOCK EXAMS  
Term 2a  Probability  combined events  Sequences 
Properties of a circle  Rightangled triangles  
Term 2b  Variation  Congruence and Similarity 
Triangles  Probability  combined events  
Graphs  Indices and Standard Form  
Term 3a  Graph transformations  Simultaneous Equations 
Functions  Linear Inequalities  
Nonlinear graphs  
GCSE EXAMINATIONS  GCSE EXAMINATIONS 
To continue with higher education in any subject, students require a grade 4 or 5 in mathematics. Science ALevels predominantly require students to attain a grade 6 in mathematics, and to progress onto ALevel mathematics, students must attain at least a grade 7.
Key Stage 5 (ALevel)
Key Stage 4 purpose: to develop advanced mathematical knowledge and skills and a logical approach to problemsolving.
Overarching elements:
1. Mathematical argument, language and proof
2. Mathematical problemsolving
3. Mathematical modelling
These are explored through a programme of study comprised of Pure mathematics and Applied mathematics (comprising Statistics and Mechanics equally).
All areas are taught in parallel such that the ASLevel qualification can be obtained at the end of year 12. Students complete the full ALevel content in year 13.
ALevel mathematics is a ‘facilitating ALevel’ and is useful preparation a wide range of degree courses and is a requirement for STEM and Economics undergraduate study.
Assessment Information
Key Stage 3 – students will have internal halftermly assessments and end of year examinations to help us determine their progress
Key Stage 4 (GCSE) – students will have internal halftermly assessment and end of year/mock examinations to help us determine their progress. They will sit an external examination at the end of year 11 comprising of 3 x 1.5 hours (2 of the papers are calculator examinations) – Exam Board: AQA
Key Stage 5 (ALevel)  students will have internal halftermly assessments to help us determine their progress. They will sit external examinations at the end of year 12 and 13 – Exam Board: EdExcel
Mathematics Reading List
Maths Careers in the Curriculum Priorities
As a Maths department, our intent is to make sure the pupils explore certain skills to enhance their career development.
 There is a focus on problem solving throughout the whole of key stage 3, 4 and 5, to help the pupils become more resilient.
 There is a focus on STEM in key stage 3 and making the pupils more aware of other pathways that they may not have considered.
 There is a focus on Money management, this will help them become more aware and conscientious with their money.
These will be monitored through pupil voice.
All this will give the pupils an awareness of some of the skills needed in later life for careers development