Menu

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 Secondary School, 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. 

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.

NEW for 2021 our Year 7 students will be studying the Geometry section of their Maths curriculum through practical applications incorporating paper boat building, navigating charts, exploring the sea and sails. This is an exciting new project which should answer a number of the "when will we ever use this Maths" questions. 

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. 

Our students are also 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, Head of Mathematics

melanie.williams@astorschool.com

 

Topics of Maths William Emeny

 

 

 

KS3

KS3 Mathematics

At Astor Secondary School, 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. 

Year 7 will participate in 6 Maths lessons and 2 Maths challenge lessons per fortnight. Maths lessons will contain topics containing number, algebra, ratio and proportion and data and statistics whilst Maths challenge lessons will be learning about geometry and its practical applications. 

Year 8 will have 7 Maths lessons and 1 Maths challenge lesson per fortnight. Here they will study their Maths curriculum in their Maths lessons whilst the Maths challenge lessons will delve into practical applications incorporating and building their ICT skills.

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

Students will also have a weekly homework set on Teams which will include both numeracy and literacy tasks.

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

Key dates for 2022 - to be updated

GCSE Paper          Date              
Paper 1 (non-calculator)  
Paper 2 (calculator)  
Paper 3 (calculator)  

 

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. 

Key dates for Sixth form students are:

Paper  Date
AS Level Paper 1  
AS level Paper 2  
A level Paper 1  
A level Paper 2  
A level Paper 3  
GCSE Paper 1 (non-calculator) Tuesday 2nd November 2021 am
GCSE Paper 2 (calculator) Thursday 4th November 2021 am
GCSE Paper 3 (calculator) Monday 8th November 2021 am
Functional Skills Level 1 and 2  Monday 10th January 2022 

Results for the November examinations will be available on Thursday 13th January 2022.

Results for the January Functional Skills exams will be available on Thursday 3rd March 2022.

 

Extra Curricular Opportunities

Astor Secondary School 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

Events we have participated in previous years

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 Secondary School 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 Secondary School! 

UKMT Junior and Intermediate Individual Maths Challenge 

Selected students from Year 7 to 11 were chosen to enter the UKMT Individual Maths Challenges. 

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. 

We have also received 1 Silver and 2 Bronze certificates in the Junior Challenge

Year 9 Royal Institute Masterclasses

4 of Astor Secodnary School'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. 

 

Maths, What's the point? 

This event was run by the School of Mathematics, Statistics and Actuarial Science faculty at the University of Kent, Canterbury. 14 year 8 and 9 students attended this event for a fun-filled day of Mathematics. They looked at a range of application of mathematics in the real world including fraud detention.

 

Year 11 Maths Challenge Day

This event was run by the AMSP (Advanced Mathematics Support Program) at the University of Kent, Canterbury. This event targets students who are aiming for grades at 7+ and includes topics such as surds, sine and cosine rule, indices and problem solving. 

 

Statistics Gone Wild 

This event was run by  the School of Mathematics, Statistics and Actuarial Science faculty at the University of Kent, Canterbury. 14 year 7 and 8 students attended this event for a fun-filled day of Statistics. They looked at a range of applications of statistics in connection with identifying the population of wild animals. 

 

 

 

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 Secondary School.

 

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

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 Secondary School 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.

Homeworks will be set on Teams for Years 7-11, so students should make sure they have access to their correct class and complete on a weekly basis.

Homework is due on the following days dependent on the year group:

  • Year 7 - Monday
  • Year 8 - Tuesday
  • Year 9 - Wednesday
  • Year 10 - Thursday
  • Year 11 - Friday

If you have any queries regarding homework please contact Melanie Williams, Head Of Mathematics. 

Email address: melanie.williams@astorschool.com

Revision/Catch Up Opportunities

The Mathematics department will be in Astor Secondary School are available for all students to stay after school between 3:05 and 4:00pm subject to arrangement with your teacher. 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 and MyMaths 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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Catch up or Revision of Lesson Content

Whether you have missed a lesson or need some more practice on lesson content, check out the table below for the topics each term (this will be updated throughout the year) 

 

  Term 1 Term 2 Term 3 Term 4 Term 5 Term 6
Year 7

Y7-Term-1-1.1-Factors-Multiples-LCM-and-HCF.docx

Y7-Term-1-1.2-Squares-cubes-and-roots.docxY7-Term-1-1.3-Primes-and-prime-factor-decomposition.docxY7-Term-1-1.4-Ordering-numbers.docxY7-Term-1-1.5-Using-inequality-symbols.docxY7-Term-1-1.6-Arithmetic-with-decimals.docxY7-Term-1-1.7-BIDMAS.docxY7-Term-1-1.8-Properties-of-3D-shapes-parallel-and-perpendicular-lines.docx

         
Year 8

Y8-Term-1-1.1-Prime-factors-LCM-HCF.docx

Y8-Term-1-1.2-Rounding-and-Estimation.docxY8-Term-1-1.3-Powers-of-10-and-Standard-form.docxY8-Term-1-1.4-Arithmetic-with-decimals.docxY8-Term-1-1.5-Arithmetic-with-negatives.docxY8-Term-1-1.6-Substitution.docxY8-Term-1-1.7-BIDMAS.docxY8-Term-1-1.8-Circles-and-its-circumference.docx

         
Year 9F

Y9-Term-1-1.1-Prime-factors-LCM-HCF.docx

Y9-Term-1-1.2-Rounding-and-Estimation.docxY9-Term-1-1.3-Powers-of-10-and-Standard-form.docxY9-Term-1-1.4-Multiplying-and-dividing-by-integers-and-decimals.docxY9-Term-1-1.5-Arithmetic-with-negatives.docxY9-Term-1-1.6-Substitution.docx

Y9-Term-1-1.7-BIDMAS.docxY9-Term-1-1.8-Enlargements.docx

         
Year 9H

Y9H-Term-1-1.1-Prime-factors-LCM-HCF.docx

Y9H-Term-1-1.2-Powers-of-10-and-Standard-form.docxY9H-Term-1-1.3-Rounding-and-Estimation.docxY9H-Term-1-1.4-Bounds.docxY9H-Term-1-1.5-Multiplying-and-dividing-by-integers-and-decimals.docxY9H-Term-1-1.6-Constructions-and-Loci.docxY9H-Term-1-1.7-Plans-and-elevations.docxY9H-Term-1-1.8-Expanding-brackets-up-to-quadratics.docx

         
Year 10F

Y10F-Term-1-1.1-Powers-roots-and-laws-of-indices.docx

Y10F-term-1-1.2-Powers-of-10-and-Standard-form.docxY10F-Term-1-1.3-Rounding-and-Estimation.docxY10F-Term-1-1.4-Using-inequality-symbols.docxY10F-Term-1-1.5-Limits-of-accuracy-and-error-intervals.docxY10F-Term-1-1.6-Constructions-and-Loci.docx

         
Year 10H

Y10H-Term-1-1.1-Right-angled-Trigonometry.docx

Y10H-Term-1-1.2-Similar-Shapes.docxY10H-Term-1-1.3-Powers-roots-and-laws-of-indices.docxY10H-Term-1-1.4-Negative-and-Fractional-Indices.docxY10H-Term-1-1.5-Surds.docx
Y10H-Term-1-1.6-Bounds.docxY10H-Term-1-1.7-Trial-and-Improvement.docxY10H-Term-1-1.8-Linear-Simultaneous-Equations.docx

         
Year 11F

Y11F-Term-1-1.1-Similar-Shapes.docx

Y11F-Term-1-1.2-Right-angled-Trigonometry.docxY11F-Term-1-1.3-Powers-roots-and-laws-of-indices.docxY11F-Term-1-1.4-Negative-Indices.docxY11F-Term-1-1.5-Revising-solving-equations.docxY11F-Term-1-1.6-Linear-Simultaneous-Equations.docxY11F-Term-1-1.7-Transformations.docxY11F-Term-1-1.8-Expanding-and-factorising-quadratics.docx

         
Year 11H

Y11H-Term-1-1.1-Recurring-decimals-.docx

Y11H-Term-1-1.2-Repeated-percentages.docxY11H-Term-1-1.3-Venn-diagrams-and-probability.docxY11H-Term-1-1.4-Sampling-Cumulative-frequency-and-box-plots.docxY11H-Term-1-1.5-Equation-of-circle-and-tangents.docxY11H-Term-1-1.6-Vectors.docxY11H-Term-1-1.7-Pythagoras-Theorem.docxY11H-Term-1-1.8-Trigonometry-in-2D-and-3D-shapes.docx

         

 

5 year Learning Journey


Here, at Astor Secondary School, our students embark in Year 7 on a 5 year Learning Journey in their Mathematics Education as shown below or via the link provided:

Learning-Journey-Maths.pdf