Mathematics at Kilgarth


DSC_6761Subject leader: Mr A Cotgrave

The mathematics department at Kilgarth believes maths is a way of communicating. It is a language through which ideas can be explained, explored and developed, and one through which relationships can be expressed, hypothesis made and tested and pattern identified. The department’s main aim is to develop confidence, understanding and enjoyment of mathematics and to provide opportunities, through collaborative and independent learning, for pupils to achieve their full potential.


Our aim is to develop pupils’ confidence, competence and proficiency with numbers and measures. Pupils are taught that successful mathematicians require an understanding of the number system, and ability to solve number problems in a variety of contexts. They learn that numeracy also demands practical understanding. They develop ways in which information is gathered by counting and measuring, and how that this can be presented in graphs, diagrams, charts and tables. To support the development and acquisition of mathematical skills the department continually seeks to provide a range of practical activities through which pupils’ understanding of the subject can be enhanced.

Assessment and qualification


Pupils at KS3 follow the National Curriculum Programme of Study and their progress is assessed continually as they complete the topics. The school has adopted the Collins ‘New Maths Framework’ as its scheme of work. The functional skills element puts mathematics into real life context and is embedded in the department’s scheme of work.


Year 7

Number topics  include: Geometry topics include: Algebra topics   include: Statistics topics include:
fractions angles simplifying expressions graph plotting
decimals co-ordinates solving equations averages
percentages area, perimeter and volume number sequences probability
directed numbers   simple work with brackets  
factors and multiple      


Year 8

Number topics include: Geometry topics  include: Algebra topics  include: Statistics topics include:
HCF LCF Calculating angles Simplifying expanding brackets Experimental probability
Sequences Construction Solving equations Pie charts and percentages
percentages Reading scales real-life graphs Comparing data
Squares and roots Surface area constructing equations Which average to use
Fractions and decimals Transformations    


Year 9

Number topics include: Geometry topics include: Algebra topics  include: Statistics topics include:
ratio angles powers and roots graphs and charts
direct proportion tessellation graphs of equations combinations
fractions = – / x constructions graphs from functions calculating probabilities
rounding scale drawings expanding brackets handling data project
efficient use of calculators circumference and area of circles factorising  


Key Stage 4


Pupils work towards gaining an Edexcel GCSE qualification during Years 10 and 11. They work towards completing two examination papers at the end of year 11, a calculator and a non-calculator paper. An additional GCSE examination is also available in Statistics.

Studies at KS4 focus on different ways of learning and assessment to develop pupils’ ability to think mathematically. Pupils learn to apply Mathematics in work, further study and their personal lives. Pupils will acquire basic transferable skills, such as the ability to:

  • interpret and organise information
  • ask questions and solve problems
  • chose a method or technique for a task
  • formulate an argument


Ethos and Teaching


The Maths Department strives to develop a pupil perception of maths as being a creative activity, a stimulus for imagination and the development of intuition. We aim to encourage pupils to read, write and talk about maths and recognise, enjoy, and build upon success through a wide variety of experiences.

At Kilgarth, maths is promoted in other subjects: for example, representing and analysing data in geography, using formulas and relationships in science, understanding number structure and currency exchange in modern foreign languages and measuring and making accurate constructions in design and technology. Pupils also become familiar with a range of mathematical resources in ICT, such as spreadsheets, graphing software and calculators, to develop mathematical ideas.

We strongly believe in the benefits gained through working collaboratively. This includes talking about mathematics, evaluating their own and others’ work and responding constructively, problem-solving in pairs or small groups, and presenting ideas to a wider group.



Some Curricular Activities

Year 8 studied proportion and ratio through the theories of the Vitruvian Man. Leonardo Da Vinci’s painting was recreated in the classroom providing pupils with a visual resource, stimulus and hands on practical experience to enhance their learning. Pupils also learn about measure and averages during Mathletics activities at the local sports centre.