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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 problem-solving. 

Learning in mathematics — what it will looks like 

Key milestones of Teaching and Learning cycle in mathematics:  

i. Pre-testing
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 7-10. 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 problem-solving. 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 2-D Geometry Angles
Classifying 2-D shapes
Constructing triangles and quadrilaterals
Term 2b The Cartesian plane Coordinates
Area of 2-D shapes
Transforming 2-D 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 4-9) or Foundation (grades 1-5) 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
   
Right-angled 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 Right-angled 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
  Non-linear graphs
GCSE EXAMINATIONS GCSE EXAMINATIONS

To continue with higher education in any subject, students require a grade 4 or 5 in mathematics. Science A-Levels predominantly require students to attain a grade 6 in mathematics, and to progress onto A-Level mathematics, students must attain at least a grade 7.

Key Stage 5 (A-Level)

Key Stage 4 purpose: to develop advanced mathematical knowledge and skills and a logical approach to problem-solving.

Overarching elements:

1. Mathematical argument, language and proof

2. Mathematical problem-solving

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 AS-Level qualification can be obtained at the end of year 12. Students complete the full A-Level content in year 13.

A-Level mathematics is a ‘facilitating A-Level’ 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 half-termly assessments and end of year examinations to help us determine their progress

Key Stage 4 (GCSE) – students will have internal half-termly 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 (A-Level) - students will have internal half-termly assessments to help us determine their progress. They will sit external examinations at the end of year 12 and 13 – Exam Board: EdExcel