Mathematics

Mathematics is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems.

It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment.

Mathematics Department – Overarching Curriculum Intent (September 2024) 

RFSS Curriculum Vision Statement: 

To build an inclusive curriculum which is aspirational for all and empowers our students to make outstanding academic and personal progress.  

Mathematics Curriculum in Context: 

Our aim is to develop our students to be intellectually curious, to enjoy the subject and to be able to use their mathematical skills to understand the world around them – both locally and globally. At Rugby Free Secondary School our curriculum is designed to stretch, challenge and support our students so that they receive a high-quality mathematics education and feel mathematically confident. The curriculum will enable the students to recall and apply facts and knowledge, to become fluent in the fundamentals of mathematics through varied and frequent practice, and to develop students’ ability to reason mathematically, so that they have the ability to solve problems that they may come across in the real world, whether now, or in the future.  

Mathematics is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. 

We have found in recent times that we are dealing with greater gaps in knowledge from KS2, with fewer students being “secondary” ready at the start of Y7. More significantly, we have seen an increase in the lack of confidence shown towards the subject, with students requiring greater reassurance when learning new content, and when recalling previously taught topics.  Parents and carers also hold this insecurity towards mathematics, and therefore feel less confident in supporting their child with the mathematics being taught to them, which only widens the gap still further.  

Curriculum Aims: 

Our curriculum aims to: 

  • Give students he ability to think critically about mathematics and communicate confidently, through their numeracy, oracy. and writing 

  • Give students the tools to support, evaluate and challenge their own and others’ views through questioning, and using detailed mathematical evidence derived from a range of contexts. 

  • Empower our students to: 

  • Know more about the maths we study and its appropriate contexts 

  • Remember more about the methods used, and to be able to recall these skills independently 

  • Do more by applying this knowledge regularly in their own independent practice. 

Our broad and balanced curriculum concentrates on developing our students’ key knowledge and skills, and enhances their understanding of the world around them.   

We do this by: 

  • Offering a wide variety of interesting, fun and compelling learning activities. 

  • Making sure reasoning questions are embedded into the schemes of work in KS3 so that it is clear to what level teachers should be taking discussion and learning to in their classrooms. 

  • Making sure topics are regularly revisited and expanded upon over the course of KS3/4. A robust and regular assessment structure is used to help students reflect on their previous learning and knowledge. 

  • Maintaining a systematic quality assurance approach to ensure the maximum impact of student knowledge and progress. 

  • Emphasising that the use of accurate mathematical vocabulary is paramount to successful maths teaching, and therefore the learner’s progression through the subject 

  • Using Home Learning effectively in Key Stage 3 to consolidate students understanding of topics covered in lessons.  In Key Stage 4, Home Learning is developed to not only consolidate students learning from the classroom, but also broaden and extend student understanding, and to ensure that students are exam ready. 

Our curriculum is focused on the development of communication, character and cultural capital of each individual student, so they become: 

  • Empathetic citizens who understand the power and importance of numeracy in society 

  • Resilient learners who reflect on their work, and the work of others, diligently, in order to make progress 

  • Creative thinkers who challenge and develop interpretations, and reflect this nuanced understanding in the way they approach mathematical problems 

  • Articulate individuals who can verbalise their own mathematical thoughts, ideas and arguments 

  • Hard-working students who are committed to fully developing and exploring their ideas. 

Curriculum Outcome: 

As a result of our curriculum, students will leave RFSS competent with their numeracy skills, and be able to use the problem-solving skills that they have learnt in mathematics in way which can be adapted to many problems beyond the classroom. They will also be empowered in their thinking, viewing the world through a critical lens of mathematics, and understanding that their voices have the power to change it in social, political, cultural and economic contexts. 

Please view or download our ‘Sequence Overview’ document for Mathematics

RFSS Curriculum Sequencing Overview Maths 24 25

What are they learning?

Mathematics

When students come in at Key Stage 3 we strive to develop pupils’ curiosity about Mathematics. We firmly believe that regardless of prior experiences, all pupils can achieve and feel a sense of enjoyment in their learning journey. We break down learning into manageable steps in order to teach for a secure and deep understanding.

We aim for all pupils to:

  • Become fluent in the fundamentals of Mathematics through varied and frequent practice, so they are able to recall relevant information timely and accurately.

  • Develop their number sense so that they are able to apply a skill to multiple contexts, including real-life financial scenarios.

  • Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language

  • Understand and appreciate various numerical methods, which enables pupils to perform mental and written calculations efficiently and accurately. Allowing them to become mathematically confident, numerate adults.

Roadmaps

Key Stage 3 Roadmap

A vast amount of content is covered at GCSE at either foundation or higher tier. The content is broadly structured into the following six groupings:

1. Number

2. Algebra

3. Ratio, proportion and rates of change

4. Geometry and Measure

5. Probability

6. Statistics.

Some of the most famous results in mathematics are built up to and introduced to students at both tiers – for example, Pythagoras’ Theorem – and extended in the higher tier – for example, extending Pythagoras’ Theorem and building the Cosine Rule.

Additionally, students gain a set of practical mathematical skills such as interpreting financial statements and analysing and interpreting statistical output.

The full detailed specification can be found on the exam board’s website at:

Roadmaps:

Foundation Roadmap

Higher Roadmap

A Level Mathematics

A qualification in Mathematics is sought after by many employers, as it develops skills in logic, communication and problem solving. The A-level course is examined after 2 years of study over 3 two-hour papers. These papers cover Pure Mathematics and Applied Mathematics in the form of Statistics and Mechanics in a ratio of 2:1. ​

Students will be assessed throughout the course in order to provide directed support, there will be a blend of topic-based assessments to inform students of the competency with a given topic and multi-topic assessments to support retrieval and to give students a picture of the long term understanding of the course

Skills Needed: ​

· Have very good mathematical knowledge ​

· Be tenacious ​

· Be independent learners ​

· Be problem solvers ​

· Go above and beyond what is expected ​

· Have a genuine love for the subject

Enrichment

Those with a Grade 8 in Mathematics will have the opportunity to undertake study in aspects of the A Level Further Maths curriculum.

Roadmaps:

A Level Maths

A Level Further Maths

Level 3 Certificate in Mathematical Studies (Core Maths)

A qualification in Mathematics is sought after by many employers, as it develops skills in logic, communication and problem solving. The Mathematical Studies course is a complementary course to other subjects and is the equivalent to an AS Level. The course is designed to engage with real-life Maths rather than Maths of an abstract nature as covered in A Level Maths. Students will be assessed through a blend of topic-based and more holistic summative assessments.

Skills Needed: ​

· Have a good mathematical knowledge ​

· Be independent learners ​

· Be problem solvers ​

· Go above and beyond what is expected ​

· Have a genuine interest for the subject​

· Be willing to engage in discussion of real-l

Curriculum Year 1: ​

Level 3 Mathematical Studies is split into two distinct papers, during Year 1 the focus will be on Paper 1, which covers;​

– Data Handling Skills​

– Personal Finance​

– Fermi Estimation

Curriculum Year 2:​

Students will focus on Year 2 will be on Paper 2 in depth preparation for the exam through the study of the pre-released case study materials. Paper 2B covers;​

– Critical Analysis​

– Critical Path Analysis​

– Expectation​

– Cost-Benefit Analysis

Roadmap

Year 12 Core Maths

Year 13 Core Maths

Engineering / Accountancy / Investment Banking / Business Leadership / Economist / Scientist / Electrician / Carpentry / Data Analyst / Computer Programmer