Overview:

Following the National Curriculum, at Cardinal Heenan, we intend that all pupils:

• Develop their numerical skills, both with and without a calculator
• Understand ratio and proportional representations, in multiple contexts
• Use algebra to develop problem-solving skills, which can be applied to a wide range of situations
• Develop geometrical skills, working with 2D and 3D shapes, in multiple contexts
• Understand statistics and probability, by applying them to real-life scenarios and contexts

We aim to develop overall mathematical literacy, which will allow all pupils to progress to the next stage of their education and training, allowing them to pursue their chosen career pathways.

Curriculum Intent:

We offer pupils a broad, balanced and purposeful curriculum that is sequential from KS2 up to KS5. Our curriculum builds on past experiences and prior knowledge from previous years as well as being introduced to new exciting areas of mathematics. Our curriculum ensures that pupils are building an understanding, skills and knowledge that enable them to know more, do more and remember more, which in turn will support them in their ability to apply their knowledge, skills and logic to problem-solving situations. 

Pupils develop their cultural capital by understanding how mathematics is embedded in every aspect of life and to teach them that mathematics is the language of the universe.  Our aim is to share with all pupils the beauty of mathematics and afford them the knowledge, skills and confidence to use their mathematical understanding in their everyday life and future career path. We also aim to ensure that all pupils have the language acquisition skills to be able to fully access the curriculum and break down barriers which may otherwise occur.

Key Stage 3 Curriculum:

In Key Stage 3 (KS3), pupils will be introduced to multiple new mathematical concepts and ideas, whilst also revisiting and extending upon some of the mathematics they have learned previously. The core aims are to:

• develop fluency with each concept,
• be able to apply mathematical reasoning to explain/justify,
• use what they have learned to solve problems of varying difficulty.

Pupils will be challenged to think mathematically and will be expected to try their best each lesson. Everyone can do Maths!

Year 7

Pupils in Year 7 will study a range of mathematical concepts and ideas, including number, geometry & measures, algebra, statistics & probability. They will build on existing knowledge from Key Stage 2, and develop their understanding further in the following areas:

• Sequences
• Negative Numbers
• Understand and use Algebraic Notation
• Equality and Equivalence
• Place Value
• Geometric Notation and Angles
• Fractions, Decimals and Percentages
• Applications of Addition and Subtraction
• Applications of Multiplication and Division
• Adding and Subtracting Fractions
• Sets and Probability
• Prime Numbers and Proof
• Developing Number Sense

Year 8

Pupils in Year 8 will study a range of mathematical concepts and ideas, including number, geometry & measures, ratio & proportion, algebra, statistics & probability. They will build on existing knowledge from Key Stage 2, as well as Year 7 mathematics, and develop their understanding further in the following areas:

• Sequences
• Expand and Factorise Expressions
• Ratio
• Equations and Inequalities
• Indices
• Multiplicative Change
• Multiplying and Dividing Fractions
• Percentages
• Standard Index Form
• Number Sense
• Representing Data
• Tables and Probability
• Angles in Parallel Lines
• Plans and Elevations
• The Data Handling Cycle
• Measures of Location
• Area
• Constructions

Year 9

Pupils in Year 9 will study a range of mathematical concepts and ideas, including number, geometry & measures, ratio & proportion, algebra, statistics & probability. They will build on existing knowledge from Year 7 and Year 8 mathematics, and develop their understanding further in the following areas:

• Sequences
• Straight Line Graphs
• Ratio and Proportion
• Area
• 3D Shapes
• Algebraic Thinking
• Volume
• Compound Measures
• Standard Index Form
• Congruency and Enlargement
• Percentages
• YEAR 9 MONEY WEEK
• Angle Rules
• Transformations
• Pythagoras’ Theorem and Introduction to Trigonometry
• Statistics
• Graphs
• Testing Conjectures
• Constructions

Key Stage 4 Curriculum

The curriculum at Key Stage 4 builds on the work started at Key Stage 3, following the National Curriculum.

Pupils will follow either a Higher-tier pathway, or Foundation-tier pathway, but final tier decisions will not be made until the end of Year 10, as the majority of content is taught parallel. The core aims continue to remain to:

• Develop fluency with each concept,
• Be able to apply mathematical reasoning to explain/justify,
• Use what they have learnt to solve problems of varying difficulty.

Pupils will be challenged to think mathematically and will be expected to try their best each lesson. Pupils will also get opportunities to apply their mathematical understanding through exam-style problems and reasoning scenarios. Everyone can do Maths!

Year 10 – All Pupils (Higher AND Foundation)

• Forming and Solving Equations
• Revision of Inequalities; Solving Inequalities
• Straight Line Graphs
• Linear Simultaneous Equations
• Probability Tree Diagrams
• Venn Diagrams and Set Notation
• Averages and Range from Tables and Charts
• Representing Data
• Scatter Graphs
• Circles and Sectors
• Volume and Surface Area
• Quadratic Equations
• Non-Linear Graphs

Year 10 – Additional Learning for Higher Tier Pupils

• Introduction to Surds
• Graphs of Inequalities (Regions)
• Equation of a Tangent to a Circle
• Conditional Probability
• Probability with Algebra
• Non-Linear Graphs; Non-Linear Simultaneous Equations
• Quadratic Sequences

Year 11 – Higher Tier Pupils

Pupils studying Year 11 Higher Tier will recap and extend their prior learning, while also learning about more advanced mathematics concepts and ideas. The content studied includes:

• Recurring Decimals
• Upper and Lower Bounds, Error Intervals, Calculating with Bounds
• Surds and Indices
• Quadratic and Geometric Sequences
• Functions
• Algebraic Fractions, Algebraic Ratio
• Non-Linear Graphs
• Transformations of Graphs
• Velocity-Time Graphs
• Algebraic Proof
• Iterations
• Direct and Inverse Proportion
• Similar Shapes – Length, Area, Volume
• Trigonometry – Right-Angled Triangles
• Trigonometry – Non-Right-Angled Triangles
• Vectors
• Angles and Circle Theorems
• Congruency

Year 11 – Foundation Tier Pupils

Pupils studying Year 11 Foundation Tier will recap and extend on their prior learning, with time to apply their learning in multiple scenarios and problem styles. The content studied includes:

• Upper and Lower Bounds, Error Intervals, Calculating with Bounds
• Money Problems
• Forming and Solving Equations
• Linear Sequences
• Inequalities
• Straight Line Graphs
• Linear Simultaneous Equations
• Quadratic Equations
• Circles and Sectors
• Volume and Surface Area of Prisms and Cylinders
• Ratio and Proportion
• Fractions, Decimals and Percentages
• Standard Form and Indices
• Pythagoras’ Theorem and Trigonometry – Right-Angled Triangles
• Vectors
• Angles
• Constructions

Key Stage 5 Curriculum

The curriculum at Key Stage 5 is tailored for those studying A-Level Mathematics. These students will have high starting points, and will follow the national curriculum of Pure Mathematics, Statistics and Mechanics. Students will have opportunities to develop their learning further through extension activities, collaborative learning, independent study and extracurricular provision. The main concepts and ideas taught are:

Year 12 Pure Maths

• Chapter 1 – Indices and Surds
• Chapter 2 – Quadratics
• Chapter 3 – Equations and Inequalities
• Chapter 4 – Graphs and Transformations
• Chapter 5 – Straight Line Graphs
• Chapter 6 – Circles
• Chapter 7 – Algebraic Methods (Dividing Polynomials, Factor Theorem)
• Chapter 8 – Binomial Expansion (plus Chapter 4 Y13 booklet)
• Algebraic Proof
• Chapter 9 – Trigonometric Ratios
• Chapter 10 – Trigonometric Equations and Identities
• Chapter 11 – 2D Vectors
• Chapter 12 – Differentiation
• Chapter 13 – Integration
• Chapter 14 – Exponentials and Logarithms

Year 13 Pure Maths

• Chapter 1 – Algebraic and Partial Fractions
• Chapter 2 – Functions
• Chapter 3 – Sequences and Series
• Chapter 5 – Radians
• Chapter 6 – Trigonometric Functions
• Chapter 7 – Trigonometry and Modelling
• Chapter 8 – Parametric Equations
• Chapter 9 – Differentiation
• Chapter 10 – Numerical Methods
• Chapter 11 – Integration
• Chapter 12 – 3D Vectors

All Statistics

• Year 12, Chapter 1 – Data Collection (and Large Data Set)
• Year 12, Chapter 2 – Measures of Location and Spread
• Year 12, Chapter 3 – Representing Data
• Year 12, Chapter 5 – Conditional Probability (plus Chapter 2 Y13 booklet)
• Year 12, Chapter 6 – Statistical Distributions
• Year 12, Chapter 7 – Hypothesis Testing (Binomial)
• Year 13, Chapter 1 – Regression, Correlation and Hypothesis Testing (plus Chapter 4 Y12 booklet)
• Year 13, Chapter 3 – Normal Distribution

All Mechanics

• Year 12, Chapter 8 – Modelling in Mechanics
• Year 12, Chapter 9 – Constant Acceleration
• Year 12, Chapter 10 – Forces and Motion
• Year 12, Chapter 11 – Variable Acceleration
• Year 13, Chapter 4 – Moments
• Year 13, Chapter 5 – Forces and Friction
• Year 13, Chapter 7 – Applications of Forces
• Year 13, Chapter 6 – Projectiles
• Year 13, Chapter 8 – Further Kinematics

Useful Websites

Sparx Maths: www.sparxmaths.uk/

Key Stage 3:

• BBC Bitesize:
  • KS3 Maths (1): https://www.bbc.c.uk/bitesize/subjects/zqhs34j
  • KS3 Maths (2): https://www.bbc.c.uk/bitesize/subjects/zs2sf82

Key Stage 4:

• MathsGenie: www.mathsgenie.co.uk/
• 1^st Class Maths: www.1stclassmaths.com/
• All Past GCSE Maths Exam Questions: www.gcsemathsquestions.co.uk/
• Corbett Maths: www.corbettmaths.com/
• Dr Austin Maths: www.draustinmaths.com/

Key Stage 5:

• DrFrost: www.drfrost.org/
• Yesterday’s Maths Exams: www.yesterdaysmathsexam.com/
• 1^st Class Maths: www.1stclassmaths.com/ (for Statistics)