Maths

Mathematics at Northallerton School & Sixth Form College is carefully sequenced from Year 7 to Year 13 to develop confident, fluent and resilient mathematicians.

Our curriculum is built around five core strands:

  • Number

  • Algebra

  • Ratio and Proportion

  • Geometry and Measures

  • Statistics and Probability

Content is deliberately sequenced so that foundational knowledge is secured first, before increasing levels of abstraction and problem solving are introduced. Regular assessment and Question Level Analysis (QLA) inform responsive teaching and bespoke curriculum adjustments where needed.

Independent learning is supported through SPARX Maths, ensuring regular retrieval and personalised practice.

Key Stage 3

At Key Stage 3, students secure strong foundations across number, algebra, geometry, ratio and data handling. The curriculum is structured into clearly defined units, each supported by Learning Journeys and Knowledge Organisers.

Students develop:

  • Fluency with integers, fractions and decimals

  • Confidence with ratio and proportion

  • Secure algebraic manipulation

  • Understanding of shape, area, perimeter and volume

  • Statistical interpretation and probability

  Year 7  Year 8  Year 9 
Autumn Term 1  Types of Number
Multiplicative Reasoning
Introduction to Algebra 		 Linear Sequences
Ratio and Proportion
Rounding and Estimating
Probability (Two Way Tables, Venn Diagrams and Frequency Trees)		 Stem and Leaf Diagrams and Scatter Graphs
Ratio
Constructions
Box Plots 
Autumn Term 2  Decimals and Measurements
Data Displays
Add and Subtract Fractions
2D Shapes and Angles 		 Linear Graphs
Transformations		 Simultaneous Equations
Indices and Surds
Proportion Problems (introduction to Inverse Proportion) 
Spring Term 1  Perimeter
Multiply and Divide Fractions and Decimals
Area
Fractions, Decimals and Percentages 		Compound Measures
Reeal Life Graphs
Four Operations with Fractions and Mixed Numbers
Expressions and Equations 		 Expand and Factorise Quadratics
Pythagoras' Theorem
Solve Quadratics 
Spring Term 2  Calculating with Negatives
Averages and the Range 		 Expressions and Equations (Continued)
Circumference of Circles 		 Quadratic Graphs
Surface Area
Non-Linear Sequences
Summer Term 1  HCF and LCM (Venn Diagrams)
Expand and Factorise Expressions
Percentages		 Indices and Surds
Angles (Parallel Lines and Polygons)
Pie Charts 		 Non-Linear Sequences (Continued)
Volume
Probability Tree Diagrams
Trigonometry 
Summer Term 2  Substitute into expressions
Solve Equations
Probability 		 Fractional and Percentage Change
Area of Circles
Standard Form 		 Trigonometry (Continued)
Calculations with Standard Form
Recurring Decimals to Fractions 

Key Stage 4

Students follow either:

  • Foundation pathway

  • Higher pathway

Movement between pathways is informed by assessment evidence.

The curriculum is structured into core units including:

  • Basic number

  • Geometry and measures

  • Standard form

  • Sequences

  • Ratio and proportion

  • Angles and transformations

  • Algebraic manipulation

  • Linear graphs

  • Pythagoras and trigonometry

  • Statistics and probability

In Year 11, the curriculum becomes increasingly responsive. Bespoke sequences are designed using QLA data to address gaps and maximise outcomes.

Term Year 10 Year 11
Autumn Term 1

Basic Number

Geometry & Measures

Standard Form

 

Bespoke QLA-informed Intervention Curriculum

 
Autumn Term 2

Sequences

Ratio & Proportion

Angles

 

Bespoke QLA-informed Intervention Curriculum

 
Spring Term 1

Decimals & Fractions

Transformations

Compound Measures

 

Bespoke QLA-informed Intervention Curriculum

 
Spring Term 2

Linear Graphs

Algebraic Manipulation

Pythagoras

 

Bespoke QLA-informed Intervention Curriculum

 
Summer Term 1

Statistics (Charts & Averages)

Probability

 Bespoke QLA-informed Intervention Curriculum
Summer Term 2

Probability

Geometry

Review

 Bespoke QLA-informed Intervention Curriculum

 

Sixth Form (Key Stage 5)

We offer A Level Mathematics and Core Mathematics.

A Level Mathematics

The A Level curriculum builds sophisticated mathematical thinking across:

  • Algebra and functions

  • Indices and surds

  • Quadratic functions and inequalities

  • Transformations of graphs

  • Differentiation and integration

  • Logarithms and exponential functions

  • Sequences and series

  • Trigonometry

  • Mechanics

  • Statistical modelling

Problem solving, modelling and mathematical reasoning are central throughout.

 

Term Year 12 Year 13
Autumn Term 1

Algebra & Functions

Indices & Surds

Quadratic Functions

Advanced Algebra

Differentiation
Autumn Term 2

Inequalities

PolynomialsSequences

Integration

Transformations of Functions
Spring Term 1

Differentiation

Trigonometry

Mechanics

Logarithms

Exponential Functions
Spring Term 2

Integration

Statistics

Exponential Growth & Decay

Advanced Mechanics
Summer Term 1 Statistics & Modelling Exam Preparation & Advanced Problem Solving
Summer Term 2 Mechanics Exam Preparation & Advanced Problem Solving

Literacy, Careers and Personal Development

Across all key stages:

  • Mathematical vocabulary is explicitly taught and revisited

  • Knowledge organisers support retrieval and precision

  • Careers links are embedded within units

  • SMSC and personal development themes are integrated into contextual problem solving