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Mathematics

Our Vision

The Mathematics Department aims to equip our students with the independence, problem solving skills and knowledge they need to be creative and adaptive in our world.

Aims

At Astor College, our aim is for our students to become numerate, independent and curious learners with skills that are transferrable to other areas of the school's curriculum.

We do this by:

  • Implementing the school vision of being adaptable, creative and proud.
  • Setting challenging and high expectations for all pupils.
  • Offering a variety of approaches to teaching and learning to engage and motivate pupils and demand their active participation.
  • Smoothing the transition for pupils between Key Stages and ensure progression in teaching and learning throughout their time at Astor College.
  • Ensuring all pupils regardless of ability make expected progress between key stages.
  • Exploring enrichment opportunities outside the curriculum to enhance pupils’ enjoyment of mathematics.

Curriculum

Students receive a varied curriculum which contains the core skills needed for success in this and other subjects.

Throughout their 5 years, students study areas of Mathematics within Number, Ratio and Proportion, Algebra, Geometry, Statistics and Probability.

Within each year group there is an expectation as to what is "common knowledge" that all students within this age group will be expected to know. Students will be challenged by recall quiz starters in order to practise this required knowledge. 

Students will be signposted to real life application whenever possible. This will include showing links between percentages and financial products such as bank accounts, loans, credit cards etc. A real life finance project is being developed and will be available to all students from Year 7 to Year 10 which will set them up to achieve in living an adult life from September 2019.

The Mathematics department are always looking for ways that we can use student skills across the college curriculum so wherever possible cross-curricular links will also be made especially with Science, DT, Geography. 

Some students will have the opportunity to work with the University of Kent to enrich their understanding of Mathematics in the every day life as well as broadening their Mathematics to the level of understanding they will need if they decide to study Mathematics at university. 

Students may also participate in UKMT Individual and Team Challenges to develop their understanding, problem solving and team building skills. 

From September 2019, Our students will be made aware of different careers that use Mathematics across Years 7 - 11. Students will then have the opportunity to discuss these occupations as career options for them. 

For any enquiries please contact Mrs Melanie Williams, Director of Mathematics

 

Topics of Maths William Emeny

 

 

 

KS3

KS3 Mathematics

At Astor College, KS3 Mathematics is for Years 7 and 8.

Both Year 7 and Year 8 students are taught in their form classes. We currently have a Grammar Stream in each year group. 

Our students participate in 7 Mathematics classes per fortnight plus a Maths Challenge lesson.

The expectation is that all Year 7 and 8 students aim to Master all Mathematical concepts to set them in a good place for studying their GCSE content in years 9-11. 

Please find below the content covered for each group over the year.

Year-7-SOW-2019-20.pdf

Year-8-SOW-2019-20.pdf

see also the Homework section for personalised and numeracy homework tasks students will be expected to complete.

 

KS4

KS4 Mathematics

GCSE Mathematics requires students to not only be fluent in mathematical concepts but also, more often, to be able to recognise then when applied into a context. There is emphasis on reasoning and explanation of required methods so students must show a deep understanding of all  the course content.

Students are entered for examination at either Foundation or Higher Tier where the grades available are 1-5 and 4-9 respectively. Both tiers consist of three 1½ hour written examination papers taken in May/June of Year 11. Paper 1 is a non-calculator paper whereas Papers 2 and 3 are both calculator papers.

Within each question paper students are asked a variety of style of questions that comprise of the following assessment objectives. The percentage of each assessment objective used within the entire GCSE is also given.

Assessment Objective (AO)

Detail of the Assessment Objective

Percentage of GCSE

AO1

Recall and use knowledge of the prescribe content

40-50%

AO2

Select and apply mathematical methods in a range of contexts

25-30%

AO3

Interpret and analyse problems and generate strategies to solve them

25-30%

In GCSE Mathematics the key skills, already seen in Key Stage 2 and 3, are developed further and linked to real life applications.

The table below shows the topic area and the extent to which they are examined at each tier.

 

Extent examined at:

Topic Area

Foundation Tier (%)

Higher Tier (%)

Number

25

15

Algebra

20

30

Ratio

25

20

Geometry

15

20

Probability and Statistics

15

15

Students are expected to have a high standard of numeracy and to quickly identify the multiple skills required within each question.

Schemes of Work for each Year group can be found below:

Year-9-Foundation-2019-20.pdf 

Year-9-Higher-2019-20.pdf

Year-10-Foundation-2019-20.pdf

Year-10-Higher-2019-20.pdf

Year-11-Foundation-2019-2020.pdf

Year-11-Higher-2019-2020.pdf

AQA Revision Guides and Workbooks at both tiers are available to purchase via Parentmail

KS5

KS5 Mathematics

In KS5 we have two options :

1) Students who have performed at GCSE Grade 6 or above can choose AS/A Level Mathematics

2) Students who are still to achieve at least a Grade 4 at GCSE must attend lessons and resit their GCSE Mathematics. 

This year our GCSE Resit students will be participating in the 5R's project. This research project is being run and evaluated by The York Trial Unit at the University of York on behalf of the Education Endowment Foundation (EEF). The programme is set up around the rationale of Recall, Routine, Revise, Repeat and Ready in order to prepare them for success in their GCSE exams. 

Extra Curricular Opportunities

Astor College Mathematics department is trying to arrange as many opportunities as we can for our students to experience Mathematics outside of the classroom.

These include:

  • UKMT Mathematics Individual and Team Challenges
  • Events run by the Further Maths Support Program
  • Workshops and sessions run by the School of Mathematics, Statistics and Actuarial Science at the University of Kent

2018-2019 Term 2

Year 11 Maths Team Challenge

4 Year 11 students attended a Maths Team Challenge competition at Invicta Grammar School in Maidstone.They participated in a variety of mathematical rounds against a range of other secondary schools in the area. Astor College stood their ground in each round to finish 4th in the competition but overall they were 1st in the non-selective public school sector. Well done Astor College! 

2018-2019 Term 3

UKMT Intermediate Individual Maths Challenge 

Selected students from Year 9, 10 and 11 were chosen to enter the UKMT Intermediate Individual Maths Challenge. 

This challenge had students answering a variety of multiple choice questions in order to score the most points possible. 

Students could then receive a selection of certificates dependent on the score achieved. 

One Year 9 and a Year 11 student achieved a Silver certificate. 

3 Year 9 students, 3 Year 10 students and 2 Year 11 students also achieved Bronze certificates. 

2018-2019 Term 3/4

Year 9 Royal Institute Masterclasses

4 of Astor College's finest Year 9 mathematicians attended 6 Saturday sessions at the University of Kent. 

The sessions covered a range of Mathematical areas such as:

Topology and Euler’s Theorem

Towers of Hanoi

Dynamics of Population Growth

Continued Fractions and the Pell Equation or Conic Sections 

Modular Arithmetic and Cryptology

Maths in Juggling and Music

The attendees were also treated to a tour of the University campus and its facilities. 

The Year 9 students thoroughly enjoyed their experiences particularly those involving food items and the juggling. 

Look out for details for this event again next year...

2018 - 2019 Term 5

UKMT Junior Individual Maths Challenge 

On Tuesday 30th April selected students from Year 7 and Year 8 will be participating in the UKMT Junior Maths Challenge. There will be a range of multiple choice questions to answer where certificates can be awarded dependent on the score achieved. 

2018-2019 Term 5

Maths, What's the point? 

This event is being run by the School of Mathematics, Statistics and Actuarial Science faculty at the University of Kent, Canterbury. 14 year 8 and 9 students will be attending this event on the 25th April 2019 for a fun-filled day of Mathematics. They will be looking at a range of application of mathematics in the real world including fraud detention.

Check your Parentmail for further details for the invited students.

2018-2019 Term 5

Year 11 Maths Challenge Day

This event is being run by the AMSP (Advanced Mathematics Support Program) at the University of Kent, Canterbury on Saturday 4th May 2019. This event is targetting students who are aiming for a Grade 6/7 in their GCSE Mathematics this summer. 10 students have been invited to attend. Topics they will recapping include surds, sine and cosine rule, indices and problem solving. 

Check your ParentMail for further details for the invited students.

2018-2019 Term 6

Statistics Gone Wild 

This event is being run by  the School of Mathematics, Statistics and Actuarial Science faculty at the University of Kent, Canterbury. 14 year 7 and 8 students will be attending this event on the 18th June 2019 for a fun-filled day of Statistics. They will be looking at a range of applications of statistics in connection with identifying the population of wild animals. 

A ParentMail will be sent inviting students and providing them with further details. 

2019-2020 Term 2

GCSE Maths in Action

The Maths department are currently preparing the paperwork to take around 20 students to London to participate in the GCSE Maths in Action event. 

https://thetrainingpartnership.org.uk/study-day/gcse-maths-in-action-29-11-2019/

Look out for the ParentMail's dropping in the next couple of weeks....

GCSE Revision Resources

Revision Guides

CGP Revision guides, workbooks and exam practise books, for both Higher and Foundation tiers,  are available to purchase through Astor College.

 

Understanding the language in the Mathematics exam paper                                 

Maths-Command-Words-Mat.pdf

All the formulae needed for GCSE Maths are here:

GCSE-Maths-Formulae.pdf

More revision materials are available on the following websites:

Mathswatch                       

https://vle.mathswatch.co.uk/vle/                                                                                         

Log in: FIRSTNAMESURNAME@ASTOR 

Password: FIRSTNAMESURNAME

PiXL Maths App  

https://mathsapp.pixl.org.uk/PMA.html   

School ID:   AT3121           

Log in:     SURNAMEFIRSTNAME

Password: SURNAMEFIRSTNAME

Corbettmaths    

 https://corbettmaths.com/  

This website contains videos, worksheets, practise questions, 5-a-day questions for regular practise of individual topics and concepts.

Use the Corbettmaths Checklists to make sure you've revised everything.

foundation-checklist-corbettmaths.pdf

higher-checklist-corbettmaths.pdf

Access Maths

www.accessmaths.co.uk/ 

This website contains lots of revision resources in different formats to help with memory retention.

 

 Onmaths   

 https://www.onmaths.com/              

 Onmaths has a wealth of online papers, topic busters, mini mocks and demon questions for which students will get immediate feedback from their questions. Online papers will also give students an idea of the grade they are currently at on each paper too. GCSE Resits and some Year 11 students will have their work tracked on this website in the near future. The website is available to access without any log in details. 

 

 

Homework

Here at Astor College homework is important for our students both for recall of previous content taught and consolidation of current topics being learnt.

Since there is a huge range of content within the Mathematics curriculum that will be tested in their termly assessments as well as their GCSE Mathematics exams in Year 11 this can not be completely revised in every lesson. Our students must develop their skills in independent learning if they are to perform well for each assessment.

From September 2019 all KS3 and 4 Mathematics online homework is set from gaps in their subject knowledge from their previous assessment. All students have their own log in and password to Mathswatch. Year 7 will have tasks set following their baseline assessment in Term 1. 

A termly numeracy booklet is produced which should be completed weekly to assist with memory recall. 

Booklets are available below should your son/daughter lose their copy. 

Year-7-Term-1-Homework-Booklet.pdf

Year-8-Term-1-Homework-Booklet.pdf

Year-9-Term-1-Homework-Booklet.pdf

Year-10-Foundation-Term-1.pdf

Year-10-Higher-Term-1.pdf

Year-11-Foundation-Term-1.pdf

Year-11-Higher-Term-1.pdf

If you have any queries regarding Homework whether this be the Termly booklet or the online tasks please contact Melanie Williams, Director Of Mathematics. 

Email address: melanie.williams@astor.dfamat.com

 

Revision/Catch Up Opportunities

The Mathematics department will be in Astor College are available on Tuesdays of Week A for all students to stay after school between 3:05 and 4:00pm (or any other days by arrangement with individual teachers only). Students should bring along the work they need help with whether this be homework or revision etc. 

For Year 11 and GCSE Resit classes, there are additional exam papers and mark schemes below to assist with their revision.

Foundation tier - Question Papers

foundation_set_d_paper_2.pdf

foundation_set_d_paper_3.pdf

foundation_set_a_paper_1.pdf

foundation_set_a_paper_2.pdf

foundation_set_a_paper_3.pdf

foundation_set_b_paper_1.pdf

foundation_set_b_paper_2.pdf

foundation_set_b_paper_3.pdf

foundation_set_c_paper_1.pdf

foundation_set_c_paper_2.pdf

foundation_set_c_paper_3.pdf

foundation_set_d_paper_1.pdf

 

Foundation Paper - Mark Schemes

Foundation-A-1-Answers.pdf

foundation_a_2_answers.pdf

foundation_a_3_answers.pdf

foundation_b_1_answers.pdf

foundation_b_2_answers.pdf

foundation_b_3_answers.pdf

foundation_c_1_answers.pdf

foundation_c_2_answers.pdf

foundation_c_3_answers.pdf

foundation_d_1_answers.pdf

foundation_d_2_answers.pdf

foundation_d_3_answers.pdf

 

Higher Tier - Question Papers 

 

higher_set_d_paper_1.pdf

higher_set_d_paper_2.pdf

higher_set_d_paper_3.pdf

higher_set_a_paper_1.pdf

higher_set_a_paper_2.pdf

higher_set_a_paper_3.pdf

higher_set_b_paper_1.pdf

higher_set_b_paper_2.pdf

higher_set_b_paper_3.pdf

higher_set_c_paper_1.pdf

higher_set_c_paper_2.pdf

higher_set_c_paper_3.pdf

 

Higher Tier - Mark Schemes

 

higher_d_3_answers.pdf

higher_a_1_answers_2.pdf

higher_a_2_answers.pdf

higher_a_3_answers.pdf

higher_b_1_answers.pdf

higher_b_2_answers.pdf

higher_b_3_answers.pdf

higher_c_1_answers.pdf

higher_c_2_answers.pdf

higher_c_3_answers.pdf

higher_d_1_answers.pdf

higher_d_2_answers.pdf

Astor students can also access Mathswatch,  PiXL Maths app and PiXL Times table app with their individual log ins to revise individual concepts.

Please email melanie.williams@astor.dfamat.com for these details if they are not already known.  

Happy Revising

 

Mrs Williams