Mathematics
Welcome to the Mathematics Department
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country." - David Hilbert
Head of Department:
Mr Goulding
e-mail: mgoulding4.310@parkhighstanmore.org.uk
Introduction
Our vision is to create a safe space for students to explore their own understanding of mathematics; fostering an atmosphere where making mistakes and uncovering misconceptions are seen as a necessary part of learning, where progress is visible. We encourage a love of learning for all, where seeking guidance is seen as a necessary component of improving practice and progress. We invest in each other and ourselves to make sure we all have the best lived experience of Park High School.
Our students are keen to learn and progress is valued. We maximise this by ensuring our curriculum is accessible and challenging. Concepts are revisited and built upon to consolidate and extend, aiming for fluency with mastery. We are proud of our checking and assessment systems that probe students’ understanding, allowing all to see the progress made as well as uncovering weaker areas. Targeted revision lessons, informed by test analysis, are a regular feature for all years. Regular written assessments and feedback are carefully designed to emphasise best practice.
Key Stage 3
Mixed ability classes for Key Stage 3 are about challenge for all and progress regardless of starting point. In these settings our students have no cap on the concepts they face; students who may find one area difficult are still allowed to experience the full breadth of challenge in other areas in order for them to better know themselves and their unique strengths. We follow the National Curriculum, which covers Number, Algebra, Geometry, Multiplicative Reasoning and Statistics & Probability, which allows our students to develop a deep and connected understanding of key facts and techniques as well as procedural fluency.
Year 7
Mathematics in Year 7 is taught in mixed ability groups. They will have 4 lessons a week. Typically, students will experience a variety of lessons across the year, which consists of puzzles, activities, problem solving, investigations and project-based learning.
They will also be building upon this learning by using and applying the Mathematical skills they have learnt, in solving contextual problems.
| Autumn | Spring | Summer |
|---|---|---|
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Numbers and the number system Calculating Checking, approximating and estimating Counting and comparing Visualising and constructing |
Investigating properties of shapes Algebraic proficiency: tinkering Exploring fractions, decimals and percentages Proportional reasoning Pattern sniffing Measuring space Investigating angles Calculating fractions, decimals and percentages |
Calculating fractions, decimals and percentages (cont’d) Solving equations and inequalities Calculating space Mathematical movement Presentation of data Measuring data |
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Assessment |
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3-Weekly Minitests cover 3 types of question:
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Home learning is allocated on a weekly basis. Typically, this will take the form of MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.
In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course. Appropriate preparation in the form of revision is expected with sufficient planning and organisation to ensure each student fulfils their potential.
Knowledge Organisers:
Year 8
Mathematics in Year 8 is taught in mixed ability groups. They will have 4 lessons a week. Typically, students will experience a variety of lessons across the year, which consists of puzzles, activities, problem solving, investigations and project-based learning.
They will also be building upon this learning by using and applying the Mathematical skills they have learnt, in solving contextual problems.
| Autumn | Spring | Summer |
|---|---|---|
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Numbers and the number system Calculating Visualising and Construction Understanding risk I Algebraic proficiency: tinkering |
Exploring FDP Proportional reasoning Pattern sniffing Investigating angles Calculating fractions, decimals and percentages Solving Equations |
Calculating space Algebraic proficiency: visualising Understanding risk Presentation of data Measuring data |
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Assessment |
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3-Weekly Minitests cover 3 types of question:
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Home learning is allocated on a weekly basis. Typically, this will take the form of MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.
In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course. Appropriate preparation in the form of revision is expected with sufficient planning and organisation to ensure each student fulfils their potential.
Knowledge Organisers:
Year 9
Mathematics in Year 9 is also taught in mixed ability groups. They will have 4 lessons a week. Pupils will cover content that supports the transition from Key stage 3 to key stage 4.
We ensure that the common content from both the Key stage 3 and 4 curriculum is covered in depth and pupils are exposed to a range of challenges, including problem solving and non-standard questions. This ensures pupils start year 10 with a secure knowledge of the fundamentals.
In order to further support the transition, the scheme of work begins to use more GCSE language and GCSE style questions to ensure pupils get used to this from an early stage.
| Autumn | Spring | Summer |
|---|---|---|
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Calculating Visualising and Construction Algebraic proficiency: tinkering Proportional reasoning |
Pattern sniffing Solving Equations and inequalities 1 Calculating space Conjecturing Algebra: visualising |
Algebra: visualising (cont’d) Solving Equations and inequalities 2 Understanding risk Presentation of data |
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Assessments |
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3-Weekly Minitests cover 3 types of question:
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Home learning is allocated on a weekly basis. Typically, this will take the form of MatchWatch. It may also consist of any project based learning or investigative work to supplement class work.
In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course. Appropriate preparation in the form of revision is expected with sufficient planning and organisation to ensure each student fulfils their potential.
Key Stage 4
Students’ understanding gains both depth and breadth at GCSE. Skills are upgraded and explored, techniques are applied in tandem rather than individually, and all of this is combined to help our students become superior problem solvers. We offer carefully graduated study to build confidence and understanding, and while considering exam success we want our students to be equipped for the demands of life. This may be in abstract, applying algebra to solve a trigonometry problem, or in a real-life setting calculating compound interest or VAT.
More information can be found on this link:
AQA | AQA Certificate | Level 2 Further Mathematics | Specification at a glance
Year 10
The new GCSE Mathematics specification covers a broader and deeper mathematical content, delivered through a single extended GCSE which can be taken at higher level or foundation level. Higher tier will include questions that will stretch the most able. Foundation tier will focus on core mathematical understanding and skills for all students to master.
| Autumn | Spring | Summer |
|---|---|---|
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Calculations, checking and rounding Indices, roots, reciprocals and hierarchy of operations Factors, multiples, primes, standard form and surds* Algebra: the basics, rearranging and solving linear equations Sequences Averages and range Representing and interpreting data and scatter graphs |
Fractions and percentages Ratio and proportion, direct and inverse proportion Polygons, angles and parallel lines Pythagoras’ Theorem and trigonometry Graphs: the basics and real-life graphs Linear graphs and coordinate geometry |
Circle Geometry* Quadratic, cubic and other graphs* Accuracy and bounds Perimeter and area of 2D shapes Circles and sectors 3D forms and volume, cylinders, cones and spheres Solving quadratic equations and linear inequalities |
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Assessment |
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3-Weekly Minitests cover 3 types of question:
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All students who follow this course will be given home learning weekly. Wider reading is always useful either from the websites offered or from the textbook or as directed by their classroom teacher.
In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course. Appropriate preparation in the form of revision should be taken seriously with sufficient planning and organisation to ensure each student fulfils their potential.
Examination Board :
Useful Reading Material:
Edexcel GCSE (9 1) Pearson Mathematics Higher Student Book
Edexcel GCSE (9 1) Pearson Mathematics Foundation Student Book
Mathematics GCSE for Edexcel Problem Solving Book Higher
Mathematics GCSE for Edexcel Problem Solving Book Foundation
Revision guide for the New GCSE Grade 9 1 Course
Practice workbook for the New GCSE Grade 9 – 1 Course
Practice papers with answers for the New GCSE Grade 9 – 1 Course
Year 11
In the last year of this GCSE course, most students are expected to complete the course materials by the end of the first term, with an end of term mock examination. In the second term students will be consolidating their knowledge and preparing for their terminal examination.
The new GCSE Mathematics specification covers a broader and deeper mathematical content, delivered through a single extended GCSE which can be taken at higher level or foundation level. Higher tier will include questions that will stretch the most able. Foundation tier will focus on core mathematical understanding and skills for all students to master.
Foundation
| Autumn | Spring | Summer |
|---|---|---|
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Solving quadratic equations Plotting quadratic graphs Simultaneous Equations Multiplicative reasoning Transformations More fractions, indices, and standard form |
Similarity and congruence Rearranging equations, cubic and reciprocal graphs Constructions, Bearings and Loci Targeted Revision |
Targeted Revision |
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Assessment |
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3-Weekly Minitests cover 3 types of question:
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Exams |
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Higher
| Autumn | Spring | Summer |
|---|---|---|
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Simultaneous Equations Quadratic Inequalities Multiplicative reasoning Collecting data Cumulative frequency, box plots and histograms Similarity and congruence Algebraic fractions Solving equations arising from algebraic fractions Rationalising Surds Algebraic proofs |
Further trigonometry (Sine and Cosine Rule) Transformations Circle Theorems Non-linear graphs and Trapezium Rule Transformation of graphs Constructions, Bearings and Loci
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Targeted Revision |
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Assessment |
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3-Weekly Minitests cover 3 types of question:
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Exams | |
All students who follow this course will be given home learning weekly. Wider reading is always useful either from the websites offered or from the textbook or as directed by their classroom teacher.
In the Summer Term, each student will sit a formal, internal exam which will consist of all elements taught throughout the course. Appropriate preparation in the form of revision should be taken seriously with sufficient planning and organisation to ensure each student fulfils their potential.
GCSE mathematics - 100% marks in terminal examination sat in June.
The GCSE Mathematics specification will be examined by three written papers, each of 1½ hours. The first paper will be assessed without the use of a calculator; calculators will be expected for papers 2 and 3. There will be no difference in the content or assessment objectives assessed in each of the papers.
GCSE Mathematics
Paper 1: Non-calculator
1 hour 30mins 80 marks Exam 33.3%
Paper 2: Calculator
1 hour 30mins 80 marks Exam 33.3%
Paper 3: Calculator
1 hour 30mins 80 marks Exam 33.3%
Examination Board:
Course Specification:
Edexcel 1MA1 GCSE Mathematics A Linear
Qualification obtained:
GCSE Mathematics Higher
GCSE Mathematics
GCSE Mathematics Foundation
Useful Reading Material:
Edexcel GCSE (9 1) Pearson Mathematics Higher Student Book
Edexcel GCSE (9 1) Pearson Mathematics Foundation Student Book
Mathematics GCSE for Edexcel Problem Solving Book Higher
Mathematics GCSE for Edexcel Problem Solving Book Foundation
Revision guide for the New GCSE Grade 9 1 Course
Practice workbook for the New GCSE Grade 9 – 1 Course
Practice papers with answers for the New GCSE Grade 9 – 1 Course
AQA Level 2 Certificate in Further Mathematics // ISBN978-1510446939
Additional Information
Enrichment
At all key stages students are encouraged to enter the UK Maths Challenge – with wide ranging success.
At Key Stage 4 students are offered Additional Mathematics, exposing them to concepts that fall between GCSE and A-level. As well as supplying plenty of challenge this is excellent preparation for A-level and is the perfect addition to the CV of students applying to further education. The A-level version of this is called Further Mathematics. Covering topics that bridge the gap between A level and undergraduate content, our mathematicians get the challenge they deserve as well as putting them in a great position when applying to study mathematics at University.
Useful Websites
Useful Reading Material
Innumeracy by John Paulos, Farrar-Straus edition 2001
Life by Numbers by Keith Devlin, John Wiley and sons.
How Maths works by Carol Vordenman, Dorling Kindersley Limited.
How Puzzling by Charles Snape and Heather Scott, Cambridge Universe Press.
Maths Curse by Jon Scieszka and Lane Smith, Puffin Books
Murderous Maths series by Kjartan Poskitt, Scholastic.
How Long is a Piece of string by Rob Eastway, Robson Books
Why Do Busses come in threes? by Rob Eastway, Robson Books.
1089 and all that by David Acheson, Oxford University Press
The Parrot’s Theorem by Denis Gued
New Grade 9-4 AQA Level 2 Certificate: Further Maths - Exam Practice Workbook // ISBN978-1789082418
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