# Mathematics

## Department Information

Students achieved excellent results in their Maths GCSE this summer, with 79% of our year 11 students achieving a grade 4 or above in their maths GCSE, 62% achieving a grade 5 (a strong pass) or higher and more than 1 in 5 students gaining a grade 7 to 9 (equivalent to an A or A*).

We also had fantastic results at KS5: we achieved a 100% pass rate in A Level Mathematics, with 76% of students achieving A* to C. 100% of A Level Further Mathematics students achieved a grade A* to C.

**Ethos**

In the mathematics department we promote mastery and a global understanding of maths and the interconnectivity of topics. We are never happy with students giving up on a topic and so we will support them until they have mastered each area of maths. When teaching students a topic, we will take the opportunity to show how it links and relates to other topics within maths. Student are encouraged to have a growth mindset with praise focused on effort rather than ability.

**Setting**

We recognise that some pupils will find the subject easier than others. Therefore we set pupils in ability groups from Year 7 so that they are working with other students of a similar ability. The students follow a GCSE scheme of work which allows time to cover topics in great detail.

**Assessment**

Each half term, students are given an assessment covering the topics they have studied to check their understanding. As the year progresses, the half term assessments will include topics studied earlier in the year to encourage long term retention. We use very detailed tracker systems for monitoring our students’ progress.

**Toolkit**

We believe in the importance of foundational mathematical skills and so homework for all pupils in Years 7 relates to the ‘Maths Toolkit’. This is a set of the most important skills required to succeed in Mathematics. We aim for all pupils to have secured all of these skills by the end of Year 8.

**GCSE**

All students study the Edexcel GCSE course. This is a 5 year linear course which means that all the examinations are taken at the end of year 11. There is no coursework element to this qualification. This specification is designed to be holistic and allows links to be made between different elements of the syllabus. The students will take three 90 minute exams at the end of the year, 1 non-calculator and 2 calculator papers.

All students now study the new GCSE curriculum. The student will receive a number grade instead of the traditional letter. The students will be able to achieve between a 1 and 9, with a ‘4’ being a pass and a ‘5’ being a strong pass, and the top 10% of students nationally being given a grade 9.

**A Level (KS5)**

Students study the 2 year Edexcel Linear Specification. The qualification is examined at the end of Y13 with three papers, each one lasting 2 hours and awarding up to 100 marks. The first two papers cover Pure Mathematics and the third paper covers applied content. All three papers allow use of a calculator.

**Pure Mathematics**covers the fundamental concepts and skills required to solve problems from a mathematical standpoint. It builds on many of the Grade 7, 8 and 9 topics covered at GCSE. Key topics include Mathematical Proof, Coordinate Geometry, Trigonometry, Differentiation and Integration.**Applied Mathematics**is made up of Statistics and Mechanics components. Statistics involves studying techniques for analysing and drawing conclusions from data. Mechanics is a branch of Mathematics which deals with the action of forces on objects.

Students have 6 periods of Maths each week. In addition to this, we recommend that students spend an additional 10 hours per week on independent study. This will include completing any assigned homework from their teacher and revising for upcoming assessments.

**Year 7:**

When students first join Year 7, they sit a baseline assessment and spend a few weeks being taught in their form groups where they recap key topics from KS2 and then build on and consolidate conceptual understanding of the fundamental topics: multiplication, ratio and algebra. Based on the assessment and student performance during the first few weeks, we place them in a set appropriate for their current ability level. We understand that students progress at different speeds so we reassess setting at regular intervals.

Once students are in their sets, we start the GCSE scheme of work:

- Basic number
- Angles
- Factors and multiples
- Basic algebra
- Basic decimals
- Rounding
- Basic fractions
- Properties of polygons
- Perimeter and area
- Collecting and representing data
- Indices
- Ratio and Proportion
- Basic percentages
- Coordinates and linear graphs
- Basic probability

**Year 8:**

- Scale diagrams and bearings
- Algebra and graphs
- Scatter graphs
- Constructions and loci
- Real life graphs
- Statistical measures
- Equations
- Measures
- Calculating with percentages
- Sequences
- Transformations
- Standard form
- Pythagoras’ theorem
- Algebra and graphs (2)
- Circumference and area
- Inequalities
- 2D representations of 3D shapes
- Volume
- Probability
- Quadratic graphs

**Year 9:**

**Foundation Tier:**

- Basic number
- Factors and multiples
- Angles
- Basic algebra
- Collecting and representing data
- Basic fractions
- Scale diagrams and bearings
- Equations
- Percentages
- Properties of polygons
- Rounding
- Coordinates and linear graphs
- Perimeter and area
- Circumference and area of circles
- Decimals
- Ratio and proportion
- Measures
- 2D representations of 3D shapes

**Higher Tier:**

- Basic number
- Factors and multiples
- Algebraic convention
- Decimals
- Rounding
- Angles
- Collecting and representing data
- Fractions
- Scale drawings and bearings
- Coordinates and linear graphs
- Calculating with percentages
- Probability
- Ratio and proportion
- Properties of polygons
- Indices
- Sequences
- Pythagoras’ theorem and introduction to trigonometry
- Perimeter and area
- Circumference and area of circles

**Key Stage 4 (Year 10 to 11):**

**Foundation Tier:**

- Algebra recap and extension
- Transformations
- Real life graphs
- Pythagoras’ theorem
- Further perimeter and area
- Scatter graphs
- Calculating with percentages
- Sequences
- Probability recap
- Introduction to trigonometry
- Constructions and loci
- Standard form
- Graphs recap and extension
- Probability
- Further circumference and area
- Volume
- Inequalities
- Algebra: quadratics, rearranging formulae and identities
- Statistical measures
- Simultaneous equations
- Algebra and graphs
- Congruence and similarity
- Trigonometry
- Sketching graphs
- Direct and inverse proportion
- Quadratic graphs
- Vectors
- Solving quadratic equations
- Growth and decay

**Higher Tier:**

- Volume
- Congruence & similarity
- Real life graphs
- Standard form
- Calculating with percentages
- Measures
- Statistical measures
- Algebra: introduction to quadratics and rearranging formulae
- Transformations
- Statistics recap and review
- Algebra recap and review
- Number recap and review
- Scatter graphs
- Linear and quadratic equations and their graphs
- Constructions and loci
- Further equations and graphs
- Vectors
- Geometry and measures recap and review
- Simultaneous equations
- Sketching graphs
- Circle theorems
- Probability
- Numerical methods
- Gradients and rates of change
- Surds
- Algebra: further quadratics, rearranging formulae and identities
- Equation of a circle
- Growth and decay
- Trigonometry recap and extension
- Direct and inverse proportion
- Transforming functions
- Sine and cosine rules
- Further sketching graphs
- Pre-calculus and area under a curve
- Algebraic fractions

**KS5**

**Year 12 Pure**

- Algebraic expressions
- Quadratics
- Equations and inequalities
- Graphs and transformations
- Straight line graphs
- Circles
- Algebraic methods
- The binomial expansion
- Trigonmetric ratios
- Trigonometric identities and equations
- Vectors
- Differentiation
- Integration
- Exponentials and logarithms
- Algebraic and partial fractions

**Year 12 Applied (Statistics)**

- Data collection
- Measures of location and spread
- Representations of data
- Correlation
- Probability
- Statistical distributions
- Hypothesis testing

**Year 12 Applied (Mechanics)**

- Modelling in mechanics
- Constant acceleration
- Forces and motion
- Variable acceleration

**Year** **13 Pure **

- Proof
- Algebraic and partial fractions
- Functions and modelling
- Series and sequences
- The binomial theorem
- Trigonometry (Radians)
- Trigonometry (Trigonometric functions)
- Trigonometry (Modelling)
- Trigonometry (Modelling) continued
- Parametric equations
- Differentiation
- Numerical Methods
- Integration
- Vectors (3D)

**Year** **13 Applied (Statistics) **

- Regression, correlation and hypothesis testing
- Conditional probability
- The normal distribution
- Moments

**Year** **13 Applied (Statistics) **

- Forces at any angle
- Application of kinematics (projectiles)
- Applications of forces
- Further kinematics

**Departmental Staff**

Miss H Clifton – Subject Leader ([email protected])

**Extra Curricular**

Students also have the opportunity to take part in the **UKMT Maths Challenge**, giving them the opportunity to test themselves against all other students in their year group national. **Years 7 and 8** compete in the **Junior Challenge**, students in **Years 9, 10 and 11** in the **Intermediate Challenge**. **Year 12 and 13** compete in the **Senior Challenge**.

The top students in KS4 have had opportunities through our **links with the University of Leeds** to attend events put on for the **most talented mathematicians in the region**.

**Supporting Your Child – Useful links and advice**

There are many maths websites that can help with support their studies. Here is a selection of some of the best.

**Maths Watch**

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

*Great for**: Video tutorials, interactive questions and tracking your progress* Students can search for the videos by grade or topic

There are interactive questions on each topic where students can find out instantly if they have answered the question correctly.

Worksheets are also available to print off and try.

All students have a personal login.

*Username**: [email protected] *

*Password**: ABCD12*

**Access Maths**

http://www.accessmaths.co.uk/revision-resources.html

*Great for**: QR codes for video tutorials and revision games and activities*

**Corbett Maths**

https://corbettmaths.com/5-a-day/gcse/

*Great for**: Daily mixed GCSE style questions. Answers are included*

**On Maths**

https://www.onmaths.com/mock_exams/?archiveType=minimocks

*Great for**: Interactive papers with immediate feedback*

**Tanner Maths**

*Great for**: Problem solving questions and flash cards (with answers)*

* *

**Maths Genie**

*Great for**: Q*uestions broken down into grades and topics for targeted revision

*https://www.mathsgenie.co.uk/resources/selfassessment.pdf*

* *

**Just Maths**

*https://justmaths.co.uk/2016/01/03/9-1-exam-questions-by-topic-both-tiers/*

*Great for**: Crossover questions with worked solutions*

http://justmaths.co.uk/2014/02/03/basic-skills/

*Great for**: *a random selection of popular GCSE questions

**Exam Solution**

*Great for**: *Video clips which talk through concepts.

**Maths It**

*Great for**: *Podcasts about popular GCSE topics, linked to printable worksheets. The podcasts talk through how to answer the worksheets.

**BBC Bitesize**