Our aim as a department is to bring maths to life for students, relating it to real life scenarios and continuously identifying careers and every day experiences where an understanding of maths is essential. In every year group our end goal is to make maths relevant and our lessons put the correlation between maths, other subjects and everyday life at their core. Students get continuous opportunities to apply their basic maths skills through problem solving and investigation and this applies to all stages of all topics throughout the students' journey through the Colne.
Students in year 7 will develop their proportional reasoning and probability skills to solve real life problems. They will deepen their understanding of shape through the manipulation of area, perimeter and volume. They will begin to solve problems by representing unknowns with algebra, look at new ways of representing data as graphs and charts, and challenge their accuracy when drawing, interpreting and measuring. They will expand on their existing knowledge of shape properties to solve multi–step problems, requiring them to reason accurately.
Students in year 8 will deepen their sense and understanding of number by identifying and using primes, factors, multiples and indices. They will manipulate shapes on a 2D axis using transformations and even combinations of multiple transformations. They will bring their work to life when looking at compound measures and relationships between different variables. Their understanding of probability will strengthen when looking at independent and dependent events as they move away from labelling probability with words and use fractions, decimals and percentages to calculate them. Students will also be able to apply their coordinate plotting skills to questions involving straight line graphs and equations of straight lines.
Students in year 9 will begin to apply their inverse operation skills to solve linear equations and inequalities, these skills will become increasingly important through the rest of their time studying GCSE and Maths to a higher level. They will also apply their algebraic skills to find terms in a sequence and identify the nth term. Students will be taking a jump from angles in basic 2D shapes to angles in all polygons and parallel lines and they will also look at calculating the surface area and volume of more complex 3D shapes. In addition they will also learn how to unpick data and draw conclusions using averages and skills to analyse data.
Students in year 10 will deepen their understanding when learning ratio and proportion. They will learn to solve complex problems and see how algebra integrates with the wider curriculum. All students will encounter trigonometry this year at varying levels and will also learn how to apply their skills to solve problems in 2D and 3D shapes. Multiplicative reasoning will become a key focus, applying to topics such as compound interest, growth, decay, direct and inverse proportion. Quadratics will form a large part of algebra work, whether its factorising, solving, graphing or rearranging. Students will encounter circles in a new light, finding the area and circumference then applying circle theorems.
Year 11 students will see many topics come together and encounter questions which contain two or more different topics. This is why confidence and fluidity in the skills learnt over the previous years is vital. Students will cover new topics including vectors and reciprocals. The foundation course will look at indices and standard form, whilst students aiming for the higher GCSE will solve direct and inverse proportion problems. All students will need to be able to apply their skills to solve problems and reason accurately as part of perfecting their exam technique.