Mathematics

 

Mathematics equips students with uniquely powerful ways to describe, analyse and change something about predicting the world. It can stimulate moments of pleasure and wonder for all students when they solve a problem for the first time, discover a more elegant solution, or notice hidden connections.

Students who are functional in mathematics and financially capable are able to think independently in applied and abstract ways, and can reason, solve problems and assess risks.

The Mathematics department is housed in its own suite of eight dedicated rooms, each of which is equipped with a computer, projector and interactive whiteboard. 

The Mathematics team are all specialists and we aim to create a positive and vibrant learning environment – the access to a range of practical equipment and a large number of software packages means we are able to present the subject in a variety of ways, thus capturing the interest of all our students.

Mathematics Department Staff

  • Dr A J Stokes - Faculty Leader of Mathematics / Director of Teaching & Learning  and KS3/KS4 Data
  • Mr J A Harrison - Second in Mathematics / KS4 Maths Co-ordinator  
  • Mr G Hadjipavlou - Teacher of Mathematics 
  • Mr S D Kalaher - Teacher of Mathematics
  • Mr J E McMenamin - Teacher of Mathematics  and Y7 and Y8 Lead
  • Mr A T Rodgers - KS5 Maths Co-ordinator  
  • Miss U Semehen - Teacher of Mathematics and Y9 Lead
  • Miss J F Smith - Deputy Head of Sixth Form / Teacher of Mathematics  
  • Miss A C Spruce - Teacher of Mathematics
  • Mr J E Turley - Teacher of Mathematics and Assistant KS5 Lead

In Years 7 and 8, we try to give our students the broadest possible mathematical education to ensure they are in the best possible position for the start of their GCSE courses. In line with the changes to the curriculum at KS3, our pupils do investigative project-based work. We aim to develop their thinking and learning skills and their abilities to work in groups.

In the new curriculum, the focus for students is the acquisition of skills; mathematical fluency, mathematical reasoning and problem solving. Targets are no longer described within a levelling system. By the end of key stage 3, students “are expected to know, apply and understand the matters, skills and processes specified in the relevant programme of study”. Progression is now decided by not only the understanding of concepts but the ability to solve ‘rich’ and ‘sophisticated’ problems.

What to Expect in Year 7

At the end of each term, pupils will be assessed on the last week with 5 tests each half term and one final end of year examination.

Term

Topic

1a

  • Place value and Number sense
  • Addition and Subtraction
  • Perimeter
  • Rounding & Estimation (in real life situations)

1b

  • Multiplication and Division
  • Factors and Multiples
  • Area of rectangles and triangles  and parallelograms

2a

  • Fractions as part of a whole
  • Fractions as a value
  • Fractions as an operation

2b

  • Order of operations
  • Basic rules of algebra
  • Expand and factorise
  • Substitution

3a/3b

  • Angles
  • Polygons
  • Symmetry and reflection
  • Coordinates

3b

  • Mean
  • Two way tables &  Venn diagrams

What to Expect in Year 8

At the end of each term, pupils will be assessed on the last week with 5 tests each half term and one final end of year examination.

Term

Topic

1a

  • Indices
  • Prime Factorisation
  • Rounding
  • Fractions
  • Percentages revision

1b

  • Linear equations
  • Coordinates and basic graphs

2a

  • Units of measurement
  • Angles
  • Circumference

2b

  • Proportional reasoning
  • Fractions, decimals and percentages
  • Ratio

3a

  • Area of composite shapes
  • Presenting and interpreting data
  • Averages

3b

  • Two way tables
  • 3-D visualisation
  • Volume

Additional Revision Materials

  • hegartymaths.com Hegarty Maths with clips explaining how to answer questions, and quizzes to try. Homework is set once a week on this website, but should also be used for independent study.
  • mathsworkout.co.uk Interactive/Self marking questions
  • https://www.pinpointlearning.co.uk Self marking questions, precise feedback on examinations with targeted exercises.
  • ttrockstars.com Whole School Competition (Times Tables)
  • RM Portico: For your latest resources where you can find practise tests and Mark Schemes to do at home:
    v://drive / Maths / KS3 / Exam Practice for February Exams

Welcome to Key Stage 4 Maths

The Maths department is extremely proud of it’s performance at GCSE.

We put this down to the fact that we have teachers who are highly qualified in the field of Mathematics teaching all our GCSE sets.

William Hulme’s has an excellent record at GCSE being one of the top performing state schools in the North West. 

In 2015 William Hulme’s Grammar School was recognised for excellence in the local "Good Schools Guide". The prestigious annual awards - now in their 9th year - are based on a detailed analysis of the previous year's examination results and are designed to highlight consistently good teaching. 

William Hulme's Grammar School was presented with the prestigious award for out-performing all other English based schools in the category Girls at GCSE.  Read our News Story on the Good Schools Guide Awards.

Looking Forward

We have adopted the new EdExcel 2015 3-year scheme of work for our KS4 cohorts. Our current Year 9 and future cohorts will be following this new specification. Below is a simple summary of the topics they will cover over the three years:

Foundation GCSE Topics

Year 1  Year 2 Year 3
Unit 1:
Number
Unit 9:
Graphs
Unit 18:
Fractions, Indices and Standard Form
Unit 2:
Algebra
Unit 10:
Transformations
Unit 19:
Congruence, Similarity and Vectors
Unit 3:
Graphs, Tables, Charts
Unit 11:
Ratio and Proportion
Unit 20:
More Algebra
Unit 4:
Fractions and Percentages
Unit 12:
Right-Angled Triangles
 
Unit 5:
Equations, Inequalities and Sequences
Unit 13:
Probability
 
Unit 6:
Angles
Unit 14:
Multiplicative Reasoning
 
Unit 7:
Averages and Range
Unit 15:
Constructions, Loci and Bearings
 
Unit 8:
Perimeter, Area and Volume
Unit 16:
Quadratic Equations and Graphs
 
  Unit 17:
Perimeter, Area and Volume
 

Higher GCSE Topics


Year 1  Year 2 Year 3
Unit 1:
Number
Unit 9:
Equations and Inequalities
Unit 18:
Vectors and Geometric Proof 
Unit 2:
Algebra
Unit 10:
Probability
Unit 19:
Proportion and Graphs
Unit 3:
Interpreting and Representing Data
Unit 11:
Multiplicative Reasoning
 
Unit 4:
Fractions, Ratio and Proportion
Unit 12:
Similarity and Congruence 
 
Unit 5:
Angles and Trigonometry
Unit 13:
More Trigonometry
 
Unit 6:
Graphs
Unit 14:
Further Statistics
 
Unit 7:
Area and Volume
Unit 15:
Equations and Graphs
 
Unit 8:
Transformations and Constructions
Unit 16:
Cirlce Theorems
 
  Unit 17:
More Algebra
 

Coming Soon!

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.

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:

HegartyMaths: (Suitable for KS3/KS4)

Website: https://hegartymaths.com/
Login: Students have been given indiividual 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 is expected to be used at least 45 minutes 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: https://pinpointlearning.co.uk/
Login: Students have been given indiividual 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.

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.

Flash Cards  - Aids to Memorising Facts, Figures and Formulae

Flash cards can be an effective way of committing things to long-term memory. The link below gives a web site that has flash cards for all areas of GCSE mathematics. Print them and use them to sharpen up the knowledge that you have at your finger tips. Ask your teacher to guide you to the right cards for your stage of learning.

Flashcards for the New GCSE

Pearsons ActiveLearn (Suitable for KS3, KS4 and KS5)

Website: www.pearsonactivelearn.com
Login: Students have been given individual logins. The password is PPL

  • Description:
    This is an online text book and also a site for doing on line homework.  Students have been given individual logins.

All students must change their Password on Pearsons Active Learn

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

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.

Old Hulmeian Sixth Form Programme for Year 11 Students

We concentrate on helping our students as much as possible at GCSE, one of the key interventions is the use of Sixth Form Mentors, which is sponsored by the Old Hulmeians Association.

Every Thursday, those students lucky enough to have been accepted onto the Intervention sessions spend 1 hour with their Sixth Form Mentors who, in effect, are giving an hour of private tuition after school.

For more information contact Mr Harrison.

Maths Support:

We run the following Maths Support sessions:

Tuesday, Wednesday and Thursday Lunch sessions (1.10pm to 1.50pm)

These sessions are managed sessions where laptops are provided for students to ensure they up to date with their Hegarty homework.

Any student who needs help with their Hegarty homework must attend these sessions.

Wednesday: 3.10pm to 4.10pm (Year 7 and 8)

Those students lucky enough to have been accepted onto the KS3 Intervention sessions spend 1 hour with their Year 9 or 10 Mentors who, in effect, are giving an hour of private tuition after school.

For more Information contact Mr McMenamin

Thursday: 3.10pm to 4.10pm (Year 9, 10 and 11)

Those students lucky enough to have been accepted onto the KS4 Intervention sessions spend 1 hour with their Year 11 or Sixth Form Mentors who, in effect, are giving an hour of private tuition after school.

For more Information contact Mr Harrison

Friday: 3.10pm to 4.10pm (Sixth Form support)

For more Information contact Mr Rodgers

Maths Challenges:

Every student in the top sets and also our sixth formers get the chance to sit either the Junior, Intermediate or Senior Maths challenge organized by Leeds University. The highest scorers in these multiple choice challenges are awarded a Gold, Silver or Bronze certificate which are highly valued by higher education institutions. The scores from these challenges also help us to identify our Gifted and Talented students.

Stem Days:

The idea of STEM in schools is to show students how these subjects can lead to different careers in Engineering and Science. We have a designated member of staff within the department, Mrs E Swatland, who actively promotes careers which utilise Maths skills learnt at school.

“I try to find events that use the subjects in a practical way. For instance, I run various days organised by the Smallpiece Trust which involve the students using their engineering skills. They have designed and built a bridge to withstand floods, they have designed a travellator for the HS2 train terminus. They have designed a pumping station and wind turbine for a remote island. They will be involved in a project next week to design and build a smart house.

I also try to show the upper school that apprenticeships are on offer and university is not the only option. I have taken a group of students to Manchester University where they were involved in a taster day going through the Mechanical and Aeronautical Engineering departments. They were able to get hands on and fly a simulator plane.I have also taken students to Macclesfield College where they learnt to solder and got to examine a real plane.

We have also set up an “Apps for Good” afterschool club, where the students design an app and market it.

Finally, I work had to promote and highlight Engineering as a career to women.”

Maths Competitions:

Last academic year our year 7 and year 9 students took part in maths competitions competing against students from other schools. These competitions provide a great opportunity to develop teamwork and collaborative skills, and will look great on their CV!

Gifted and Talented:

In the Mathematics department, we believe that all pupils are entitled to an education that will enable them to develop their full potential; intellectual, physical, aesthetic, creative, emotional, spiritual and social. 

The department is committed to providing a sufficiently challenging curriculum for all its pupils.  In addition we will provide opportunities to identify, and nurture those who are considered to be gifted & talented.

The department has a designated G&T representative who coordinates G&T activities within the Mathematics department and contributes to supporting the work of the School G&T Co-ordinator, working and interfacing across and between departments.

We are constantly promoting high level thinking in our lessons through questioning, investigative and open-ended tasks. We will be holding trips across the year including STEM and maths challenges to help stretch and challenge our most able students.

Coming Soon!

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