Mathematics

Intent

As mathematicians, we appreciate the beauty of mathematical reasoning and its elegant forms.  We don’t lose sight of this when applying maths to the world around us.  The purpose of the Maths curriculum is to equip students with uniquely powerful ways to describe, analyse and solve problems and to make them more prepared for the real world. We do this by providing a secure understanding of mathematical concepts, from basic principles of mathematics to complex topics that combine several areas of study into a single question. We concentrate on retention of knowledge and depth of learning rather than an accelerated curriculum. In doing this, all our students have the opportunity to master key skills that might be required in their future.

We are very aware that Mathematical skills are a key foundation in a number of other subjects in the curriculum and in the reality of responsibilities in the real world. To address this, we ensure that where possible in the teaching, these relationships are stressed so that students understand not only how to do a specific topic but why this might be important in their future.  We aim to produce students who numerate, financially capable, are able to think independently in applied and abstract ways and can reason and solve problems while assessing the risks.

We aim to facilitate all levels of abilities and for those who want to stretch and develop their problem solving skills we offer opportunities for individual and team competition through the United Kingdom Maths Trust at Leeds University (UKMT), trips organised through the Manchester University and internally developed activities.

We aim to create pupils who are confident and have the opportunity to take their studies further into sixth form, university and beyond. We have an extremely strong KS5 offering, where we are not only able to offer A Level Maths but Core Maths (at Level 3) which supports other A Level studies, and Further Maths for the more advanced mathematician.

Implementation 

Lessons are sequenced to enable learners to build strong foundations and move logically between different topics and see their linkages.

At William Hulme’s our curriculum promotes a consistent approach to lesson delivery by linking lesson structure to the Rosenshine Principles, in line with United Learning’s centralised teaching and learning approach. We use these principles because cognitive research suggests that students need a large amount of subject knowledge in their long-term memory to become competent in any subject.  

In maths, pupils will be far better equipped to apply mathematical thinking to a problem if their working memory is not overloaded with basic calculations. Therefore, our curriculum always emphasises secure content knowledge before moving onto problem-solving tasks. For our students to become ‘experts’ in a topic taught, it is essential that the fundamentals of numerical fluency are first mastered.  

The development of long-term memory and mastery starts as soon as our pupils walk through the door. Every lesson, in Year 7 and 8 students will start with ‘Numeracy Ninja’s’, 30 low-stakes fluency questions (multiplication tables and basic mathematical calculations) that are designed to improve student’s mental mathematics over time. When reaching Year 9, 10 and 11 students will all complete 10 low-stakes GCSE style questions which concentrate on reaffirming required skills that have previously been covered, these are slowly increased in complexity as each lesson goes on – the idea being mastery must be achieved before a new set of questions in introduced.  

Throughout KS3, 4 and 5 our assessment’s form an extremely important part of our future lessons. From these assessments pupil’s data is analysed and areas of weakness are addressed in form of our 6 – Question Grids. These grids are weekly and are 6 questions that from assessment have been identified as topics students most struggled. Consistent review of key content is integral to the structure and order of the curriculum itself. Over the course of each half term, questions will be amended with the aim of mastery being achieved in the six chosen questions. 

We use intuitive online technology for homework’s which permit us to study individual students’ levels of learning and tailor the practice directly to each student. The two platforms we use are Hegarty Maths and Sparx which facilitate students to review this content as homework.  

Our curriculum is designed to provide a challenge for all learners. Teachers adapt resources for the needs of their students. We use carefully constructed resources that exemplify accessible methods for students and teachers. Our teachers use variation theory in their lessons, so the questions students are being asked to complete have a logical starting and finishing point. We provide an opportunity for challenge by depth rather than accelerating through the curriculum. In Key Stage 4 and 5, exam questions focusing on the specification objectives AO1/2/3 are used, when appropriate, to assess understanding of core fluency and application of it in context.  

Impact 

Students undertake common United Learning assessments in KS3 and 4. This allows us to compare student performance across a large cohort of students. This improves the accuracy of predictions in KS4 and allows for improved targeting and support for students by identifying knowledge and skills gaps. Students should be accomplished in algebra, number, geometrical reasoning and analysing and interpreting data in a range of forms and context. 

The foundations built at Key Stage 4 will serve students well in whatever pathway they chose to take in the onward learning journey. Our aim is to ensure as many students as possible have the opportunity to go on to study mathematics further. For the highest achieving students, to promote our subject, we also offer Level 2 Further Maths to ‘bridge the gap’ between GCSE Mathematics and A-Level Mathematics.  Sixth Form studentss at our school will have an understanding of the real-world applications of mathematics including financial mathematics and engineering.  

Many students choose to continue studying Maths and Further Maths at A Level here at WHGS.  Studying Maths at Key Stage 5 opens a huge range of possible degree choices.  The UCAS website is a good source of information on the different destinations for Key Stage 5 mathematicians and can be used as a reference point for both teachers and students.

 

Curriculum Overview for Key Stage 3

If you have any questions regarding KS3, please feel free to contact the KS3 Co-ordinator at:
georgios.hadjipavlou@whgs-academy.org.

Curriculum Overview for Key Stage 4

'Choices at 14+' Booklet

If you have any questions regarding KS4, please feel free to contact the KS4 Co-ordinator at:
james.mcmenamin@whgs-academy.org.
 

 

Curriculum Overview for Key Stage 5

View more information on A-Level Maths

We pride ourselves on the fact that all, bar one, of our team teach Year 12 and 13 students. This means that students choosing to study Maths at WHGS have a huge amount of support and we are able to provide different teachers for different modules to provide interest and variety in their Sixth Form teaching.

We offer both Maths and Further Maths at A Level, as we know that Further Maths is not just useful for students wanting to study mathematics at Degree Level, but also for those studying Computer Science, Finance, Engineering and the Physical Sciences. We currently follow the MEI specification, which allows some interchange of the applied modules between the Further Maths and Maths course. Many of our A Level teachers are experienced in teaching Further Maths modules, as well as the single Maths modules, which enriches our teaching of the A Level modules.

Our standard routes of study for A Level Maths are that in Year 12 our students would study two Pure Maths modules (Core 1 and Core 2), as well as the Statistics 1 Applied Maths module, and in Year 13 our students study two Core modules (Core 3 and Core 4) and then generally pick between either Statistics 2 or Mechanics 1 as their applied module.

For Further Maths, we suggest in Year 12 students study Further Pure one, Decision one and Mechanics one and then in Year 13 they take Further Pure two, Mechanics two and Mechanics three. However, we have had students elect to take Statistics three, Differential Equations and Decision two in Year 13. 

We are currently waiting to see what the implications of the changes to the KS5 curriculum entail for Maths and Further Maths.

Homework is set every week and no student has the excuse that they do not know what their homework is, or they do not have homework that week.

In Years 7 to 11, students are expected to do a minimum of 60 minutes a week. Please avoid leaving it all until the last minute.

In Years 7 to 9

All the homework is set on Sparx and students are expected to spend about 60 minutes a week on doing their work. There is compulsory work every week and also XP and Target work, which are optional and can help students practice their maths skills further. 

Sparx offers many features:

  • Differentiation for students: Every single student automatically receives personalised homework, which includes revision and consolidation.
  • Improves outcomes: Increased student engagement and additional teacher time improves learning outcomes.
  • Reliable, trusted content: Written and rigorously tested by our in-house team comprising teachers, tutors, mathematicians and grammar specialists.

View the short video for parents explaining the Sparx platform 

In Year 10

All the homework is set on Hegarty Maths and students are expected to spend about 60 minutes a week on Hegarty. 

Hegarty has two parts: 

  1. The Hegarty Video and Quiz homework, this should be 1 or 2 pieces of work a week. Students are to take clear notes, the notes and examples are the most important part of this homework, these should be made in their Orange Homework Books.

    Students are to complete the quiz, using the examples and preferably writing notes in the Orange Homework Books.
  2. MemRi the quantity of pieces of work depends on the set: 
  • Sets 1 should be doing 4 pieces of MemRi a week 
  • Sets 2 should be doing 3 pieces of MemRi a week 
  • Sets 3 should be doing 2 pieces of MemRi a week 
  • Sets 4 should be doing 2 pieces of MemRi a week 

In Year 11

Homework is set weekly by teachers and varies according to where in the learning the students have reached. All homework is to be completed in the Orange Homework Books.

After Tests or Assessments (which are numerous in Year 11)

Homework is set in the form of Pinpoint booklets; these are booklets of questions tailored to each individual student’s needs. They need to be answered using all online facilities to help, just not understanding is not an excuse the Hegarty Videos are available.

In Years 12 and 13

Homework is much more extensive, and we expect students to take control of their own work and spend longer on it.

Minimum Expectations are:

  • All questions especially “P” & “E” questions from exercises in the textbooks are to be completed and self-marked.
  • All Exercises 1 and 2 under each topic on MEI Integral website are completed and self-marked
  • All Section test to be completed online this is marked by the online program.
  • When requested Topic Assessment tests might be set by teachers.

To prepare for your End of Year Assessment we highly recommend using the resources below to aid your revision. With each revision booklet, we have also provided you with an answer booklet, so you can check your answers as you go.

KS3

Year 7 Revision Booklet

Year 7 Revision Booklet Answers

 

Year 8 Revision Booklet

Year 8 Revision Booklet Answers

 

Year 9 Revision Booklet

Year 9 Revision Booklet Answers

KS4

Year 10 Foundation Revision Booklet

Year 10 Foundation Revision Booklet - Large Font

Year 10 Foundation Revision Booklet Answers

 

Year 10 Higher Revision Booklet

Year 10 Higher Revision Booklet Answers

 

Remember to use these revision booklets alongside your class notes.

The Maths Department have spent a lot of time and resources sourcing what we feel is the best online offering for students. If the students utilise these resources regularly, they are in strongest position we can offer to progress successfully.

We subscribe to the following – this means that your child will have free access to all of these resources to support their independent learning at home:

Sparx: (Suitable for Year 7)

Website: www.sparx.co.uk

Login: Students have been given individual logins.  If password forgotten, an email can be sent to reset account.

Strengths of this Resource: 
Video Lessons - Homework – Practice.

Description:

  • This site is used with all Year 7 and every student is expected to use it for at least 1 hour per week.
  • With the videos it is like having a teacher in your home, taking notes ensures retention of information and the quizzes give practice to ensure the topic has been learnt properly.
  • The more time a student spends on this site the more the site will learn about their capability and will help them develop and ultimately the easier they will find Mathematics.

HegartyMaths: (Suitable for KS3/KS4/Year 12)

Website: hegartymaths.com

Login: Students have been given individual logins.  If password forgotten, an email can be sent to reset account.

Strengths of this Resource: 
Video Lessons - Homework – Practice.

Description:

  • This site is used with all Year groups 7 - 11 and Years 7 to 10 are expected to use it for at least 1 hour per week.
  • With the videos it is like having a teacher in your home, taking notes ensures retention of information and the quizzes give practice to ensure the topic has been learnt properly.
  • The ‘Memri’ function is essential as students are prone to forgetting and this function will ensure that that we minimise this.
  • The more time a student spends on this site the easier they will find Mathematics.

Pinpoint Learning: (Suitable for KS3/KS4)

Website: pinpointlearning.co.uk

Login: Students have been given individual logins. The password is PPL

Strengths of this Resource:
Identifies problem areas – Assesses exam results and creates personal learning profiles.

Description:

  • This site is used with all Year groups 7 -11 it allows students to identify specific problem areas.
  • This site retains all information from Years 7 to 11 and through the Matrix demonstrates progress.
  • We use this site after every exam to analyse specific areas students need to work on.
  • A personalised work sheet is created after every exam.

Corbetts Maths (Suitable for KS4/KS5)

Website: corbettmaths.com

No username or password required

Strengths of this Resource:
Revision - A large number of questions on each individual topic.  Access to Flash Cards and many other resources.

Description:
This site provides a bank of GCSE past paper maths questions sorted by topic including their answers, for revision and practice.

Tanner Maths (Suitable for KS4)

Website: www.tannermaths.co.uk

No username or password required

Strengths of this Resource:
Revision – Flash Cards

Description:
This site provides downloadable Flash Cards for

Maths Workout (Suitable for KS3 and KS4)

Website: www.mathsworkout.co.uk

Login:
Students have been given the login details.

Strengths of this Resource:
This is a differentiated website – Topics can be easily found and there are numerous practice questions.

Description:
This is an excellent site for practicing different topics in a differentiated way, students can practice the easy questions all the way to the more difficult problems.

MathsBot (Suitable for KS4)

Website: mathsbot.com

No username or password required

Strengths of this Resource:
Revision - A large number of questions on each individual topic.

Description:
This site provides a bank of GCSE style maths questions for revision and practice. Each question is randomly generated with a full worked solution.

MEI Integral: (Suitable for KS5)

Website: www.integralmaths.org

Login: Students given individual logins by their teacher and set their own Passwords.

Strengths of this Resource:
This site is for KS5 and covers the entire syllabus. It includes online homework.

Description:
This site covers the entire A-Level course and offers notes, questions and interactive exercises. It should be used constantly to aid with learning.

This site is also used for students studying AQA Level 2 Further Maths GCSE.

Dr Frost Maths: (Suitable for KS5)

Website: www.drfrostmaths.com

Login: Students use their email address and a password set by them.

Strengths of this Resource:
This site is for KS5 and covers the entire syllabus.

Description:
This site covers the entire A-Level course and offers notes, questions and interactive exercises.

Exam Solutions: (Suitable for KS5)

Website: www.examsolutions.net

Login: None required.

Strengths of this Resource:
This site is for KS5 and covers the entire syllabus.

Description:
This site covers the entire A-Level course and offers Maths Revision Tutorials, Papers and Solutions.

Staff

  • Dr A J Stokes - Director of Curriculum and KS3/KS4 Data / Teacher of Mathematics
  • Mr J A Harrison - Faculty Leader of Mathematics
  • Mr J E McMenamin - Second in Mathematics / KS4 Co-ordinator
  • Mr A T Rodgers - KS5 Maths Co-ordinator (Further Maths, Core Maths and Extra Support/Intervention) / Teacher of Mathematics
  • Miss U Semehen - T&L Maths Lead / Y9 Lead / Teacher of Mathematics 
  • Mr G Hadjipavlou - KS3 Co-ordinator / Teacher of Mathematics 
  • Mr S D Kalaher - Teacher of Mathematics / Further Maths Co-ordinator
  • Miss J F Smith - Deputy Head of Sixth Form / KS5 Maths Co-ordinator (Data and Progress) / Teacher of Mathematics  
  • Miss N O Mohammed - Teacher of Mathematics / Literacy in Maths
  • Mr M J Robinson - Teacher of Mathematics / STEM Co Lead
  • Mr C J Rothwell - Teacher of Mathematics and Physics / STEM Co Lead
  • Mr S Karami - Teacher of Mathematic

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