Curriculum

# Maths

KS3 mathematics

The mathematics curriculum at Lady Lumley’s School aims to ensure that all students:

• become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that students develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
• reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
• can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Across all years in KS3 students cover the following topics:

• Number
• Algebra
• Ratio, proportion and rates of change
• Geometry and measures
• Probability
• Statistics

Year 7

We build on the Key Stage 2 Programme of Study reviewing and building on all topics as well as introducing new concepts. The year starts with investigations that immerse the students in algebraic thinking. We practise numeracy skills regularly and incorporate an individualised basic skills programme into our lessons periodically to ensure any gaps in knowledge are addressed.

• Number: Place Value and calculations, Fractions, Decimals and Percentages, Integers, time and timetables
• Algebra: Introduction to Algebra, Sequences, Expressions and Formula, Straight Line Graphs, Equations and Expressions
• Ratio, proportion and rates of change: Ratio and Proportion
• Geometry and measures: Perimeter and Area, Measures, Properties of Shapes, Lines, Angles and Shapes, Constructions, Symmetry and Transformations
• Probability: Logic and Venn Diagrams, Probability
• Statistics: Handling Data, Summary Statistics

Years 8 and 9

Students are taught in broad sets, 3 in each half-year and have 7 lessons per fortnight. All students follow the same Scheme of Learning but the different groups can adjust the pace as necessary: there is the expectation that all students access the same key concepts. Topics continue to revisit the previous year's work and then develop them with the introduction of higher-level material. Starters in lessons are used to review material and encourage long-term retention.

Year 8

• Number: Fractions, Decimals and Percentages, Approximations and Estimation, Index Laws
• Algebra: Sequences, Expressions and Formula, Equations and Formula, Introducing Quadratics,
• Straight Line Graphs(y=mx+c), Non-Linear Graphs, Algebraic Investigation
• Ratio, proportion and rates of change: Ratio and Proportion
• Geometry and measures: Pythagoras, Angles, Area and Volume, Circles, Enlargement and Similarity, Speed/Distance/Time, Lines, Maps and Scale Drawings, Angles in Polygons
• Probability: Probability
• Statistics: Averages, Charts, Data Project

Year 9

• Number: Fractions, Decimals and Percentages, Rounding and Estimating, Decimals and Surds, Integers, Powers and Roots
• Algebra: Sequences and Functions, Equations, Inequalities, Graphs, Formulae and Proof, Substitution, Linear Equations, Sequences
• Ratio, proportion and rates of change: Proportion
• Geometry and measures: Geometrical Reasoning, Loci, Circles and Prisms, Transformations,
• Triangle Calculations
• Probability: Probability
• Statistics: Frequency Diagrams, Averages and Cumulative Frequency, Correlation, Data Representation

Enrichment

Each year we enter students across all year groups for the UKMT individual challenges. In Year 7 and 8 our students can take part in the Junior Maths Challenge. In the lead up to the competitions the maths department run after school support sessions to help our students prepare for the challenges.

We take part in the UKMT team challenges across KS3, 4 and 5 and compete against other local Schools. We work closely with the Advanced Maths Support Programme and have enjoyed taking some of our students to events led by them.

We run a weekly Chess Club for our KS3 students.

GCSE Mathematics

Across Years 10 and 11 students complete a Linear GCSE course with the assessment being taken at the end of Year 11.  Sets 1 - 3 typically follow the Pearson Edexcel Higher GCSE scheme of learning, leading to potential GCSE grades of between Grade 5 and Grade 9. Sets 4 - 6 are typically following the Pearson Foundation GCSE scheme of learning, leading to potential GCSE Grades of between Garde 1 and Grade 5.

Years 10 and 11 – Foundation Tier

• Number: Integers and Place Value, Decimals, Indices, Powers and Roots, Factors, Multiples and Primes, Fractions, Decimals and Percentages, Fractions and Reciprocals, Indices and Standard Form
• Algebra: Algebra: the basics, Expressions, Inequalities, Straight Line Graphs, Linear and Simultaneous Equations, Quadratic Equations, Quadratic Graphs, Harder Algebra
• Ratio, proportion and rates of change: Real Life Graphs, Ratio, Multiplicative Reasoning, Proportion
• Geometry and measures: Shapes and Angles, Interior and Exterior Angles, Perimeter, Area and Volume, Transformations, Right Angled Triangles, Constructions Circles, Cylinders, Cones and Spheres, Similarity and Congruence, Vectors
• Probability: Probability

Year 10 and 11 – Higher Tier

• Number: Checking Calculations and Rounding, Indices, Factors, Multiples, Primes, Standard Form, Surds Fractions and Percentages, Accuracy and Bounds
• Algebra: Equations and Changing the Subject, Graphs, Coordinate Geometry, Quadratics and Simultaneous Equations, Inequalities, Quadratics and Cubics, Further Algebra
• Ratio, proportion and rates of change: Ratio and Proportion, Multiplicative Reasoning and Direct and Inverse Proportion
• Geometry and measures: Polygons, Angles and Parallel Lines, Pythagoras and Trigonometry, Perimeter, Area and Circles, 3D Shapes and Volume, Transformations, Construction, Loci and Bearings, Similarity and Congruence, Graphs of Trig Functions, Further Trigonometry, Circle Theorems, Circle Geometry
• Probability: Probability
• Statistics: Data, Cumulative Frequency, Box Plots, Histograms

Enrichment

Each year we enter students across all year groups for the UKMT individual challenges. In Year 10 and 11 our students can take part in the Intermediate Maths Challenge. We also work closely with the Advanced Maths Support Programme and have enjoyed taking some of our students to events led by them. Study+ runs weekly for students in Year 11.

https://www.bbc.co.uk/bitesize/subjects/z38pycw

A Level Maths

The course develops skills in three areas of mathematics; pure maths, statistics and mechanics. Pure maths extends students’ understanding of familiar topics such as coordinate geometry, trigonometry and algebra, whilst introducing new topics such as calculus. Statistics includes data handling and probability. Mechanics covers the study of forces and motion.

A Level Maths Specification

A Level Further Maths

The course develops skills in three areas of mathematics; pure maths, statistics and decision mathematics. Pure maths extends the core pure maths covered at A level, whilst introducing new topics such as complex numbers. Statistics also extends the concepts covered at A level, while decision maths studies algorithms and networks.

A Level Further Maths specification

https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html#%2Ftab-AlevelFurtherMathematics

Level 3 Core Maths

Core Maths is a relatively new type of qualification. It is designed for students who have passed GCSE Mathematics at grade 4 or above, but who have not chosen to study A level Mathematics. Students will learn some new topics, but it mostly involves maths they will have already used at GCSE level. Where it differs from GCSE is its focus on developing the skills students need to apply maths to the kinds of real-life problems they will meet in study, work and life. Core maths is studied over two years. It’s equal in size to an AS level and is studied as a fourth subject.

Core maths specification

Enrichment

Each year we enter students across all year groups for the UKMT individual challenges in Year 12 and 13, our Sixth Form students can take part in the Senior Maths Challenge.

Every Thursday after School we run a Key Stage 5 drop-in to support all Key Stage 5 mathematicians.