Maths / Content / 1019 / 4f49a516-6f02-4540-8f2c-ed1b37c8ea4b

Maths

Subject vision / Content / 1040 / 2b1db04d-19c1-4c4a-98e2-98029e84ea15

Subject vision

Maths lessons at GW have the purpose of developing mathematical understanding and reasoning for all pupils in all classrooms, whilst nurturing a love for mathematics and an understanding of its purpose in life beyond the classroom and beyond a pupils’ time at GW. As students progress through the curriculum, we look to enhance the problem solving skills required for being a successful mathematician alongside securing key subject knowledge for all students.  

Year 7 / App / 1042 / 2a457b99-ff94-4792-8623-0654dddc3151
Year 7

Autumn  

At the start of KS3 all students will be building on and strengthening their knowledge of number skills from primary school. We will look at addition, subtraction, multiplication, division and order of operations with integers and decimals. Following baseline assessments, we will look at key algebraic terms and skills. After looking at factors and multiples, we will incorporate this with algebra, leading to expanding and factorising expressions.   

Spring 

By the end of term 2, all students will  have developed a deeper understanding of fractions. This includes adding, subtracting, multiplying, dividing and converting between mixed numbers and improper fractions. We will then look at comparing and ordering fractions, equivalent fractions and finding fractions of amounts. We will also look at perimeter and area of shapes, which provides an opportunity to practice using algebra in a new context. Finally, we will look at averages including the mean.   

Summer  

Students will derive, describe and illustrate properties of polygons using appropriate language. Following this, we will look at applying the properties of angles at a point, on a straight line and in polygons. We will also look at reading and plotting coordinates as well as finding midpoints and equations of horizontal and vertical lines. We also revisit the concept of time during this term and develop students’ understanding of both analogue and digital time telling, alongside the application of time in real-life contexts. During this term, there will be an opportunity for students to revise all year 7 content before completing their ROAs.    

Year 8

Autumn  

At the start of year 8 students will: use integer powers and associated real roots (square, cube and higher); recognise powers of 2, 3, 4, 5, 10 and distinguish between exact representations of roots. They will use the concepts and vocabulary of prime numbers, factors (or divisors), common factors, prime factorisation, including using product notation and the unique factorisation property. We look at rounding numbers to given places of value, as well as the power of using rounding to estimate calculations. Following on from this, students move into an extension of their fractions knowledge, before learning how to solve algebraic equations and looking at angles in parallel lines.   

Spring  

By the end of term 2 all students will have a deeper understanding calculations involving circles, specifically calculating the area and circumference.  This term also explores the links between fractions, decimals and percentages as well as spending time looking in-depth at percentage calculations. Students also look at the core skills linked to ratio and direct proportion.  

Summer  

They will construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts and vertical line (or bar) charts for ungrouped and grouped numerical data. The term also looks at the visualisation of 3D shapes and calculating their volumes. During this term there will be an opportunity for students to revise before completing their ROAs.  

Year 9

Autumn 

Students will learn to apply all four operations using non calculator methods when working with decimals, this includes both dividing a decimal by an integer and dividing a number by a decimal. They will also work on rounding decimals and use rounding to complete estimations, also linked to finding answers through related calculations.  Students will improve their algebra skills through simplifying, expanding and factorising. Students will explore the use of standard form, alongside the laws of indices and how these support in other areas of the curriculum. 

Spring  

By the end of term 2, students will recognise and use the sequence of triangular, square and cube numbers. Students will also generate terms of a term-to-term sequence, find the nth term of a linear sequence and use the nth term of a linear sequence to determine whether a given number is in that sequence.  They will also use proportion to answer problems involving exchange rates and be introduced to probability.  Students will explore Pythagoras’ theorem and its application with right-angled triangles.  

Summer  

Term 3 students move onto studying interior and exterior angles, vectors, transformations, plans and elevations, arcs and sectors and surface area of 3D shapes. During this term there will be an opportunity for students to revise before completing their ROA’s.  

Year 10

Autumn 

Within both the foundation and higher syllabusses,  we are deepening our understanding of algebra by studying rearranging formulae, plotting linear graphs, finding the equation of a straight line (y=mx+c) and solving simultaneous equations. In addition, we will be learning to plot quadratic graphs and identify their turning points and roots. We will then investigate further graphs such as cubics and reciprocals. Alongside algebra, we will look at exploring the volume of more complex 3D shapes such as pyramids, spheres and frustums as well as looking compound measures such as speed and density.  

Spring 

By the end of term 2, all students will have learnt how to calculate and represent probability, inclusive of exploring probability trees and probabilities without replacement. Students will also further investigate percentages, looking at both simple and compound interest. We explore standard form further, looking at its application and use in calculations. We enhance our statistics knowledge by looking at alternative ways to represent data, such as frequency polygons and cumulative frequency graphs (Higher students only).   Higher students will also look at similar shapes, inclusive of similar triangles, and how these are used to find missing values in similar shapes.  

Summer 

Students will review Pythagoras’ theorem, looking at examples that enhance the understanding of the theorem and its applications. Alongside this, students will also look at bearings and scale drawings.  

Higher students will also look at algebraic proportion, surds, right-angled trigonometry & bounds within this term.  

Year 11

Throughout Year 11, students will experience a curriculum that introduces new content, alongside securing knowledge that they have secured from years 7-10 to prepare them for their GCSE examinations.  

Autumn 

Foundation: There is a review of all algebraic knowledge required at Foundation level, alongside an introduction to right-angled trigonometry. Students will also study similar shapes and congruency before looking at constructions and loci.  

Higher: Students explore the relationship between recurring decimals and fractions, finding the nth term of quadratic sequences, solving simultaneous equations involving non-linear equations, further trigonometry, inequalities and algebraic functions.  

Spring 

Foundation: Students will study a bespoke curriculum based on their gaps in knowledge identified by teachers to best prepare them for their summer examinations.  

Higher: Students will complete the Higher GCSE syllabus this term, learning the final topics for the Higher GCSE: Iteration; algebraic proof; circle theorems; histograms; use of vectors and vector proofs; finding the area under curves; graphical transformations; congruence and constructions and loci.  

Summer 

All content will have been covered for both tiers and time will be used revising old content and working through as many past papers as possible, so pupils have seen a wide range of questions on each topic before they enter the exams.   

Exam board link

https://qualifications.pearson.com/en/support/support-topics/exams/past-papers.html   

Extracurricular (clubs and trips)  

  • We have Pi (KS3 maths club) 
  • Maths Circles (invite only) 
  • Sparx lunchtime club  
  • Sparx support (Thursday after-school) 
Careers

Engineering  

IT and the internet  

Education  

Banking and Finance  

Consultancy  

Architecture   

Design  

Science and Research  

Accountancy  

Learning beyond the classroom and curriculum

Sparx  

https://www.mathsgenie.co.uk/  

https://corbettmaths.com/contents/  

ExamQ: Maths GCSE and A-Level Exam Questions 

CGP revision guides are available for: KS3; KS4 (Foundation and Higher); plus more specific guides are available for students targeting to achieve specific grades.  

Pearson revision guides are similar to the CGP guides outlines above, made for the curriculum by Pearson.  

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