Mathematics

For an overview of the pathways through the curriculum, please see our information page here.

 

Welcome to the Mathematics Department

Our Vision

Real Mathematics involves problem solving, creating ideas and representations, exploring puzzles, discussing methods and the different ways of working.
As a department we aim to produce individuals who have these skills in abundance and the ability to apply them to all situations in life.
Mathematics is the universal language that transcends all boundaries and we aim to make our students fluent.

 

Curriculum

Click below to learn about how the Curriculum is planned, delivered and assessed in Maths.

Maths Curriculum

Students across all year groups have eight hours of mathematics lessons per fortnight. Students are grouped by attainment into four classes on each side of the year group, except in year 11 when an extra group is created to give students more support in preparation for their G.C.S.E exams. Students who sit the higher tier paper in year 11 also have the opportunity to study statistics in Year 11, allowing them to achieve an extra G.C.S.E.

 

KS3

Year 7
Autumn BASELINE
Place Value and Rounding
Calculations and Estimation
Notation, Constructions and Measurements
Algebraic Notation and Simplifying Expressions
Angles and Properties of 2D shapes
Revision and Assessment Review
Standard Form
Spring Types of Number
Ratio
Revision and Assessment Review
Substitution
Fractions
Solving Equations
Perimeter and Area
Revision for Terminal Exams
Summer Terminal Exams and Review
Units of Measure
Constructing and Interpreting Data
Percentages
Gambia Project
Transformations

 

Year 8
Autumn Calculations
Angles
Revision, Assessment and Review
Scatter Graphs
Simplifying Expressions
3D Shapes
Fractions
Indices
Spring Probability
Solving Equations
Revision, Assessment and Review
Percentages
Inequalities
Proportion
Graphs
Averages and Spread
Summer Revision
Terminal Exams and Review
Scales, Scale Factors and Bearings
Compound Measures
CAMP WEEK
Sequences

 

KS4 - Year 9-11

Higher GCSE Scheme of Learning

Foundation GCSE Scheme of Learning

 

OUR VISION

We have developed an inspiring, motivating and coherent maths syllabus for the entire ability range, which emphasises and encourages:

  • Sound understanding of concepts
  • Fluency in procedural skill
  • Competency to apply mathematical skills in a range of contexts
  • Confidence in mathematical problem solving

 

WHAT STAYS THE SAME, WHAT CHANGES?
  • The minimum assessment time will now be a total of four and a half hours for both Foundation and Higher tiers.
  • The new Maths GCSE will count as two qualifications but with one only a single grade.
  • A new list of required content has been published and there is an expectation that students will memorise many more formulae than previously.
  • Questions in assessments will be less clearly structured and more open-ended, frequently set within real-world contexts.
  • GCSE Maths will no longer have marks allocated to Quality of Written Communication (QWC) in selected questions, but ‘communicate information accurately’ is a part of the new AO2.
  • A new content area has been added, ‘Ratio, proportion and rates of change’ and the weightings of each content area are set by Ofqual at each tier as below (±3%).
 Strand Foundation Higher
Number                      25%                 15%
Algebra                      20%                 30%
Ratio and proportion                      25%                 20%
Geometry and measures                      15%                 20%
Probability and statistics                      15%                 15%

 

GCSE (9-1) MATHEMATICS AT A GLANCE

Here’s a brief look at some of the course content and the Assessment Objective changes that been brought in for new GCSE (9-1) Maths qualifications. For the full list of content, please see our new GCSE (9-1) scheme of work(attached)

Subject content introduced in the new GCSE:

  • Know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tanθ for θ = 0°, 30°, 45° and 60° (Foundation and Higher tiers).
  • Use inequality notation to specify simple error intervals due to truncation or rounding (Foundation and Higher tiers). • Use Venn diagrams (Foundation and Higher tiers).
  • Work with percentages greater than 100% (Foundation and Higher tiers).
  • Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point (Higher tier only).
  • Find approximate solutions to equations numerically using iteration (Higher tier only).
  • Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts (Higher tier only).

 

Foundation tier now includes previously Higher tier content:

  • Using trigonometric ratios
  • Calculating with and interpreting standard form (A x 10n), where 1 ≤ A < 10 and n is an integer
  • Applying addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors
  • Factorising quadratic expressions of the form x2 + bx + c, including the difference of two squares
  • Using y = mx + c to work with straight lines on graphs.

 

There will be the opportunity for some pupils to also gain a GCSE qualification in Statistics and Further Maths.

Additional GCSEs

There will be the opportunity for some pupils to also gain a GCSE qualification in Statistics and Further Maths.

GCSE Statistics starts in year 10 and will be compulsory for all students in set 1 or 2. This content will be delivered during the standard 8 lessons of Mathematics that pupils receive a fortnight.

GCSE Further Maths is a voluntary qualification offered to pupils in the top sets starting in Year 11. This GCSE is ideal for any pupils considering A Level Mathematics as it bridges the gap between GCSE and A Level. Further Maths is taught for 1 hour after school every week.

Both qualifications are with AQA and the specifications for both can be found on the pages below:

Statistics (8382)

For GCSE Mathematics, we use OCR as the exam board for higher tier and foundation tier. Links to both exam boards’ specifications can be found below:

OCR Mathematics (9-1) – J560

Students in Year’s 7 and 8 will complete check out tests after every unit of work and they will be formally assessed using assessments developed in school, this will happen every half term. The assessments will be taken in school during maths lessons and students will be provided with a detailed breakdown of their attainment level, progress over time, strengths and areas for development. Tests are across 3 tiers and as such you will do the test that best suits your ability.

Students should ensure that they have discussed which tier test is most appropriate for them with their teacher beforehand. Results will be given in the form of AOB based on students end of year 11 target grades.

At the end of each year students will sit a terminal exam to judge progress throughout the year.

Students in Year 9, 10 and 11 will be formally assessed using past maths GCSE papers, this will happen every half term. The assessments will be taken in school during maths lessons and students will be provided with a detailed breakdown of their attainment level, progress over time, strengths and areas for development. Tests are across 2 tiers and as such you will do the test that best suits your ability.

Students should ensure that they have discussed which tier test is most appropriate for them with their teacher beforehand. Results will be given in the form of a 1-9 GCSE grade as well as an AOB based on students end of year 11 target grades.

At the end of year 9 and 10 students will sit a terminal exam, consisting of one non-calculator and two calculator papers. This will help students prepare for their GCSE exam and help to judge progress throughout the year.

In order to ensure the highest quality mathematics education for every student, the ALNS maths department have developed a curriculum and assessment model that ensure students find lessons challenging and exciting.

To attain this vision:

  • Students develop an understanding of the importance of mathematics in everyday life.
  • Students will be able to solve problems by selecting and applying their mathematics to a range of problems. They will be able to break them down into smaller steps and persevere when seeking solutions.
  • Teachers encourage the development of problem solving and reasoning skills through the use of mathematical models and multiple representations (e.g., numerical, visual, graphical, algebraic, and verbal).
  • Students develop their conceptual understanding and the ability to recall facts and apply that knowledge rapidly and accurately.
  • Students are encouraged to express ideas fluently and talk about the subject using mathematical language.
  • Students are provided the opportunity to demonstrate and apply skills, knowledge, and understanding in a variety of formats.
  • Teachers select and implement mathematical tasks to engage students’ interest and intellect.
  • Teachers continuously evaluate and revise curriculum to ensure mathematical ideas are connected.
  • Teachers continuously create and implement assessments to monitor student learning and progress towards explicit learning targets.
  • Teachers make appropriate decisions about the use of technology to enhance instruction and learning of mathematical concepts and proficiencies.

Students are expected to supply the following equipment for every one of their Maths lessons:

  • Pens
  • Pencils
  • Rubber
  • Ruler
  • Compass
  • Protractor
  • Scientific Calculator

We recommend as a department that pupils have a Casio Scientific calculator which can be purchased from the school bank for £10.00.

An image of the calculator is shown below:

Every pupil has access to a wonderful online resource called Hegarty Maths. This website has videos and assessments for pupils to use to improve in Maths. Every topic is broken down into different skills which are explained in depth during the video. There is then an attached assessment testing pupils on what the video covered. Pupils input their answers and their work is marked straight away. If they get the question wrong, they are given the chance to have another go. The website collects any incorrect answers and groups them into a category called “Fix Up 5”. This allows pupils to address past mistakes and make improvements.

As Hegarty Maths is an online website, pupils are required to do their workings in their books before submitting their answers. Below is an example of the level of work that is expected from pupils. As parents, we ask that you guide your children to follow the examples below when they are completing Hegarty tasks at home.

Click here to go to Hegarty Maths.

General links

Hegarty Maths

 

Revision

Below is a list of useful revision websites that we recommend pupils access at home, as well as using Hegarty Maths:

  • http://www.onmaths.com/
    On Maths has past papers and predicted papers online with grade boundaries. Pupils can mark their work as they go. If they make mistakes, most of the papers have youtube videos attached going through worked solutions.
  • https://corbettmaths.com/
    Corbett maths has a variety of resources. There are past papers as well as exam questions broken down into individual topics. Most of the resources have answers or worked solutions attached.
  • https://www.mathsgenie.co.uk/gcse.html
    Maths Genie breaks separates exam questions into their individual topics as well as providing past/predicted papers. All of the resources on this site have worked solutions attached.
  • https://mathsbot.com/
    Maths bot will generate random GCSE exam questions for pupils to try with worked solutions available.