As the world's dependence on technology has increased, so has the demand for the people that can think mathematically. The truth is math is all around us. As a matter of fact, some call it an inescapable quotient that we simply just can not get through life without. It is therefore fundamentally important to ensure that all students have the best possible mathematics education. Through mathematics students learn about the inherent principle of logic and order. They have to indulge in a coherent process of learning about problems, formulas and how to use a sequence of steps to reach a solution that in turn helps them develop discipline of mind, resilience and independence, all of which they can use in other areas of their lives. Students need to understand the mathematics they learn so they can be creative in solving problems, as well as being confident and fluent in developing and using the mathematical skills so valued in the world of industry and higher education.
Knowledge
11
10
Algebraic Expressions Coordinate Geometry Equations and Inequalities Graphs and Transformations Quadratics Proof Quadratics Data Processing Binomial Expansion Probability Polynomials Binomial Distribution Data Collection Surds Vectors Proportion
Recap the Number system Recap Algebraic Expressions & Equations Inequalities
Graphs Transformations Proof Functions Simultaneous Equations Sequences Recap Interpreting and Representing Data Sampling
9
The Number System Decimals Fractions, Ratio, Decimals and Percentages
8
Recap Year 7 Number Fractions 2 Index Laws
Ration and Proportion
7
Place Value Addition and Subtraction Perimeter Rounding
Multiplication and Division Mean Metric Conversions Types of Number
Percentages
Statistical Distributions Forces and Motion Hypothesis testing Projectiles
Parametric Equations Projectiles Differential Equations
Vectors Trigonometry Kinematics Differentiation
Integration Exponential and Logarithms Forces Connected Particles Newtons laws
Revision Further Representing Data Recap Area & Volume Recap Angles Recap Pythagoras' Theorem & Trigonometry Further Area & Volume
Revision of As and A2 Content
Variable Acceleration Hypothesis Testing Sequences and Series
Revision and GCSE Examinations
Similarity 2D representations of Quadratic Graphs 3D shapes Real-life Graphs Probability Further Trigonometry (Coordinate Geometry) & Straight Line Graphs
Algebraic Expressions and Equations Transformations Construction and Loci Space and Graphs Algebra 2 Negative Numbers Fractions Fractions and Decimals Statistics
Trigonometry Proof Differentiation
Circle Theorems Revision Problem Solving Reading mark schemes
Area and Volume Angles Pythagoras’ Theorem and Trigonometry Interpreting and Representing Data Volume Surface Area Circles
Probability Averages
Introduction to Algebra Sequences Line and Angles Calculating Space Construction
Date and Analysis
12
Further Algebra Further Integration Moments Probability
Term 3
Practical Skills
13
Trig Identities Further Differentiation Vectors Kinematics Integration
Term 2
Communication
Term 1
Skills
We start year 7 by going back to basics and exploring the Hindu-Arabic Numeral System which the current western Numerical system is based on. We also look at the effect base 10 has on numbers to gain a deep understanding of our place value system. We also explore the metric of weights and measure based on metre for length and kilogram for mass that has its beginning back in 1670 by a mathematician called Gabriel Mouton. In year 7 we consider the growth of the Number line, from counting and rational numbers, to the introduction of zero and negative numbers in 7th century India. Fractions will be studies here because they formed the basis of Pythagoras’ worldview. The word fraction actually comes from the Latin "fractio" which means to break. Finally the study of geometry begins with construction and measurement using the Babylonian angle measure of degree. We also introduce calculations using basic angle facts of shapes and take a similar approach with measuring area. A lot of the content covered in year 7 will seem familiar to students but we will look at the mathematics involved on a deeper level. They will be challenged and encouraged to answer “why?�, and through the depth of their learning they will acquire the knowledge to construct an argument with convincing reasoning. This will enable them to cement the foundations of their mathematical understanding. We have mixed ability or soft setting in year 7 as most of the content learnt is a recap of what they have already covered at primary schools. This is to ensure that all our students from the different feeder schools start at the same skills level. This also helps students develop a growth mindset around learning, as well as a higher self-efficacy in their academic skills.
Term 1 Multiplication Place Value and Division Topic
Addition and Subtraction Perimeter
Summary of Content
Metric Conversions
Rounding
Types of Number
The first unit builds on students previous learning, developing their understanding and experience of the formal written algorithms whilst still encouraging students to choose suitable mental strategies when appropriate.
Students are encouraged to explore shape area and perimeter in a number of tasks, including “working backwards� problems.
Rounding will be revisited in the context of estimation to help spot/prevent errors in the use of the formal methods. Perimeter and mixed bases are introduced as a context for further problems, and bar modelling is taught in greater depth as a means to represent worded problems, prior to gaining a solution.
Assessment
Mean
Decimal place value and the links between columns are revisited as students’ estimation skills are developed. This is particularly important in the division of decimals by decimals.
Problem solving work will be consolidated with specific support in choosing the correct operation (or operations) to solve worded problems.
Trial
Term 2
Term 3
Negative Numbers
Fractions and Decimals
Fractions
Statistics
Students are encouraged to explore definitions and multiple representations of fractions in order to address any misconceptions from prior learning. Bar models are used to demonstrate finding a fraction of an amount. These are a particularly good pictorial representation of splitting a number into equal parts and really useful when moving onto finding the whole given a fractional part. Lessons will look at multiplying and dividing fractions, emphasising throughout the relationship between the two operations.
Students will be learning to represent numbers in different forms both visual and abstract.
They learnt to calculate and manipulate fractions and decimals fluently before percentages are added in year 8. We also introduce the students to statistics, with calculations derived from simple data representations such as bar charts and pictograms. They extend this to average calculations as well.
Trial
Introduction to Algebra Sequences Lines and Angles By now students should have a firm understanding of numerical calculations so we can now begin to generalise results with the introduction of the grammar of algebra. Students then go on to learn and explore patterns in both the real world and in mathematics, developing an understanding of some famous sequences such as the Fibonacci sequence.
Calculating Space Construction
Students now begin the Geometry module: 2D shape in a 3D world. This unit covers estimating, measuring, drawing and calculating angles. Types of angles will be discussed before students learn to measure and draw angles accurately. Students will also be introduced to facts involving angles around a point, angles on a straight line and vertically opposition angles, and use these to find missing angles. This module also includes properties of quadrilaterals, symmetry and tessellations. End of Year Trial
In year 8 students are introduced to new concepts such as ratio and proportion. The concept of ratio is an important tool in the study of mathematics and as such has been given significant importance in the new GCSE (2015). As such it has become a topic in its own right. Here Ratio will be treated as a conceptual tool that can help rather than merely an arithmetic entity with a value. As in Year 7, we investigate each aspect that is taught in depth so that pupils can understand not only what works, but why. We ensure that we give credit to the mathematicians who made the discoveries we now use and teach pupils a little of the history of maths to try and spark their interest in investigating it further. As part of Mastery in Mathematics, year 8 students will continue to develop conceptual understanding and apply their knowledge rapidly and accurately to problems involving the four strands of mathematics, number, algebra, shape & space and statistics.
Term 1
Topic
Recap Year 7 Number
Percentages
Fractions 2
Ratio and Proportion
Index Laws The start of year 8 will involve reviewing and extending the work covered in year 7.
Summary of Content
Pupils will delve deeper into fractions looking at how to multiply and divide with fractions before they are introduced to percentages. Here students make connections between fractions, decimals and percentages and understand how number can be represented in different way.
Assessment
Term 2
Students will understand that a multiplicative relationship between two quantities can be expressed as a ratio or fraction, beginning to understand the links between ratios and fractions. Students will look at how to solve problems involving percentage change, increase and decrease
Trial
Space and Graphs
Algebra takes prominence in the spring term. Starting with Descartes’s coordinate system we commonly use today, also know as the cartesian system. This topic creates an essential link between algebra and geometry which will be explored in much greater depth at GCSE. Time is also spent here mastering the art of drawing and understanding straight line graphs.
Term 3 Volume
Algebra 2
Surface Area Circles
This term is dedicated entirely to algebra and exploring its origins in the Islamic empire. This will include collecting like terms, expanding brackets, solving equations and using formulae.
This term looks at the study of shapes and builds on what was learnt in year 7.
Here we also look at inequalities and equations using the balancing method and we link back to concrete examples, developing fluency in algebra.
Here we move from look at 2D shapes to being able to generalise properties of 3d shapes.
Trial
Students are introduced to the first irrational number Pi and look at how this connects to the area of a circle.
Probability Averages Here statistics remains firmly grounded in calculations, where pupils are introduced to probability calculations and Venn diagrams. Here students are also introduced to theoretical and experimental probability, a branch of mathematical that is widely used in the real world.
End of Year Trial
Year 9 is a vital year as we recognize that as our cohort grows, we must adapt and so our curriculum changes and we have four math classes. We use year 9 as a preparation year to ensure that students are GCSE ready by the time they embark on the GCSE in year 10. Students are assessed at the start of the year and are set based on ability however these remain quite fluid and pupils have every opportunity to move between sets.
Here we also start to offer more co-curricular opportunities such as the UKMT team & individual challenges, as well as the RI Master Classes which are all designed to encourage, inspire and engage young people in the art and practice of mathematics. These co-curricular sessions introduce students to aspects or applications of maths which may not usually be covered in the school curriculum, and open young people’s eyes to the excitement, beauty and real-world value of mathematics.
Term 1 The Number System Topic
Term 2 Algebraic Expressions and Equations
Decimals
Transformations
Fractions, Ratio, Decimals and Percentages
Construction and Loci
Angles Pythagoras’ Theorem and Trigonometry Interpreting and Representing Data
Factors, multiples and primes Prime factorisation, hcf, lcm Venn diagrams to find hcf and lcm Powers of 10 and roots Estimate powers and roots Index laws Standard from converting Standard form calculations Surds - simplifying Surds - rationalising the denominator
Calculating with decimals inc real life contexts Rounding Estimation Apply and interpret limits of accuracy (bounds) Reciprocals Recurring decimals Convert between fractions, decimals and percentages Equivalent Fractions Ordering Fractions Fraction of an Amount Calculating with Fractions Solving Linear Equations with fractions Applying Fractions Basic Ratio and simple proportion Unitary Method & Application Percentages of an amount Percentage Increase/ Decrease Simple Interest & Compound Interest Reverse Percentages mental method & calculator method Mixed FPD and ratio
Writing Expressions Simplifying Expressions Equations, formula, functions Substitution Rearranging formula Expanding brackets Factorising Solving Equations linear unknown on both sides Solving Equations quadratics by graphs, by factorisation, by quadratic formula Estimating solutions using recurrence relations (iteration)
Translate shapes by description & column vector Reflect shapes in lines such as x = 2 and y = -x Describe a reflection Rotate shapes about origin and any point Describe a rotation Enlarge a shape by positive scale factor from given centre, fractional scale factor and negative scale factor Describe an enlargement Transform & describe shapes by combinations transformations Describe changes and invariange (unchanges) by combinations of transformations Use straight edge and compass to draw shapes such as a parallelogram Construct a perpendicular bisector, the bisector of an angle, the perpendicular from a point to a line Construct angles of 60° and 90° Construct and recognise the nets of 3-D solids such as pyramids and triangular prisms Use construction to find the locus of a point Solve loci problems
Units and scales Metric and Imperial Units Perimeter & area of rectangles, triangles and parallelograms Perimeter & area of trapeziums Area of compound shapes Volume of prisms Circles - circumference, area, arcs and sectors Surface area (of 3D shapes) Classify a quadrilateral by geometric properties Angles on a line, at a point, in triangles Angles in parallel lines Interior & exterior angles of a regular polygon Interior & exterior angles of an irregular polygon Maps, scales, scale drawings Bearings - measuring & drawing Bearings - application
Use Pythagoras' Theorem; - find any side, height of Isosceles triangle, line segment lengths & coordinates and in 3D Use sine, cosine & tangent ratios - find a side in a r.a.t and find an angle in a r.a.t Know exact values of sin x, cos x, tan x for x = 0, 30, 45, 60 & 90 (noncalculator paper) Understand different types of data i.e. qualitative, quantitative, discrete, continuous Mean, median, mode, range from frequency table Mean estimate from grouped frequency table Graphs - frequency polygons, time series, twoway tables, pie charts, dual bar chart, stem and leaf diagrams, back to back stem and leaf diagrams Bivariate data - scatter graphs Use graphs and MMMR to compare data sets Recognise misleading graphs
Topic test
Christmas trials
Topic test
Easter trials
Topic test
Summer trials
Summary of Content
Assessment
Term 3 Area and Volume
During Key Stage 4, students are given more opportunities to develop their mastery thinking skills, knowledge and understanding covered at Key Stage 3. The lines between the different areas of mathematics start to blur as we begin to appreciate the links between the different disciplines. Problem solving is the heart of GCSE Mathematics learning, which helps learners tackle everyday mathematical problems whilst studying and after obtaining the qualification. It encourages the teaching of links between different areas of the curriculum by targeting questions that cover the content from different subject areas within Mathematics. It also enables students to stimulate, interpret and communicate mathematical information in a variety of forms appropriate to the information and context. Students follow Edexcel exam board specification with options of Foundation Tier (Grade 1- 5) and Higher tier (Grade 4 – 9). The higher tier specification is ideal for students who are keen to do Maths or other STEM subjects in Further Education.
Term 1 Recap the Number system Topic
Recap Algebraic Expressions & Equations Inequalities The kinematic formulae Simplifying algebraic fractions - basic
Solving Equations quadratics by completing the square Product rule for counting Summary of Content
Term 2
Simultaneous Equations Sequences Recap Interpreting and Representing Data Sampling
Further Representing Data Recap Area & Volume Recap Angles Recap Pythagoras' Theorem & Trigonometry Further Area & Volume
Solve linear & quadratic S.E. by graphs & algebraically
Cumulative frequency diagrams
Linear Sequences quadratic sequences, surveys and questionnaires
Histograms
Box plots
Data Handling Cycle
Volume of Pyramids and Cones including Frustrums
Stratified sampling
Volume of Spheres
Represent inequalities on a number line
Volume of composite solids (pyramids/ cones/spheres)
Represent inequalities graphically
Problem solving with cones, spheres (see exam questions in the packs)
Solve linear inequalities - one & two variables Solve quadratic inequalities
Term 3
Similarity 2D representations of 3D shapes Probability (Coordinate Geometry) & Straight Line Graphs
Quadratic Graphs Real-life Graphs Further Trigonometry
Circle Theorems Revision, Problem Solving, Reading mark schemes
Recap Similarity in 2D & 3D shapes (area & volume)
completing the square
Circle Theorems
turning points
Comparing lengths, areas and volumes using ratio notation
conversion graphs
Circle Theorem Proofs
Draw and analyse plans and elevations of 3D shapes
speed (velocity) time graphs
Isometric drawings sample space Mutually exclusive and independent events
distance - time graphs
Sine Rule (in 2D) Cosine Rule (in 2D) Area of non right angle triangle
Venn diagrams Frequency Trees Equations of straight lines Draw straight lines from equations
Assessment
Trial
Trial
End of Year Trial
https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf
Throughout the year all students will be given the opportunity to become problem solvers, logical thinkers and mathematical communicators. For some of our students this is the last stage of their mathematical education so we strive to not only prepare them for their GCSE exam but also to ensure that they have the numeracy skills that they will require to build for themselves a happy and successful future. The focus in year 11 is revision as we begin to finish the Edexcel GCSE specification. Students are given grade and topic specific intervention in the run up to and after the mocks exam period to ensure they get the best grade possible and to ensure that we are able to address any misconceptions. During the mock exam period, students will complete three assessments (one non calculator and two with a calculator). After the mocks, each class teacher tailor’s the learning specific to their class, based on their areas of weakness in which students will cover a variety of topics including factorising quadratics, rearranging formulae, solving simultaneous equations and inequalities as part of their revision. Exam practice is also incorporated into each lesson with regular topic tests to consolidate and review learning taking place.
Tier decisions are usually made around January after the Mocks giving pupils plenty of opportunity to show their capability and also stresses the importance of revising for the Mock examination.
Term 1
Topic
Term 2 Graphs transformations
Surds Vectors
Proof
Proportion
Summary of Content
Assessment
Target Revision
Term 3
Revision GCSE Exams
Functions
Year 11 will continue to follow the Edexcel specification and finish off last few topics left in the specification whist also building problem solving skills and exam practice.
Here students and teachers will begin to plan revision for mocks and recap key skills needed in the run of the mocks.
Mock Exams
Each will follow a different revision plan based in their needs and data from the Mocks.
This is the start of exam season and where revision classes will be offered to students
Weekly exam practice sessions will also be set up here as well as any necessary intervention Past papers
GCSE Exams
https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf
Students start by deepening the knowledge of the algebraic concepts learnt at GCSE before further generalising through proof, which becomes a topic in its own right. New topic also start to emerge such as calculus which allows students to learn to differentiate and integrate. Term 1
Topic
Summary of Content
Assessment
Term 2
Term 3
Algebraic Expressions Equations and Inequalities Quadratics Binomial Expansion Polynomials Data Collection
Coordinate Geometry Graphs and Transformations Proof Data Processing Probability Binomial Distribution
Using and Manipulating Surds Working with indices Quadratic graphs and equations Simultaneous equations Inequalities Factor Theorem Remainder Theorem Pascals triangle Factorial notation Binomial Estimation Sampling
Equation of straight lines Parallel Lines Perpendicular Lines Equation of Circles Tangent & Chord properties Midpoints & Perpendicular Bisectors Methods of Proof Variance & standard deviation Outliers & Box plots Histograms Cumulative frequency Venn and Tree diagrams Binomial Distribution
Working with vectors Magnitude and direction Geometric problems Cosine Rule Sine Rule Graphs of Trig Functions Exact Trig values Trig equations 1st Principle Gradient & derivatives Stationary points Increasing & decreasing functions
Indefinite & definite integration Areas under curves Area between lines and curves Fundamental Theorem of Calculus Laws of Logs Exponential modelling Natural logs Non-linear data Force Diagrams Connected Particles Pulleys Newtons 1st, 2nd, and 3rd law.
Examination
Topic Tests
Examination
Topic Tests
Vectors Trigonometry Kinematics Differentiation
Integration Exponential and Logarithms Forces Connected Particles Newtons laws
https://www.ocr.org.uk/Images/308723-specification-accredited-a-level-gce-mathematics-a-h240.pdf
Variable Acceleration Hypothesis Testing Sequences and Series Functions of Time Maxima & minima One & two tailed test Finding critical values Arithmetic sequences Arithmetic Series Geometric progression Geometric series Convergence and divergence Periodic sequences Sum to infinity Application in Money Sigma notation
Topic Test
Trigonometry Proof Differentiation
Proof by contradiction Proof of irrational numbers Graphs of further trig functions Trig identities Inverse trig functions Radians Proof of trig identities Further Differentiation
End of Year Mocks
A level mathematics also enables students to look at specialist applied areas of maths such as statistics and mechanics. The applied area of mechanics puts context to the pure side of the course bringing in calculus and applying vector notation. In statistics students look at the whole data collection cycle, and study probability paying particular focus to the Binomial and normal distribution. Term 1
Trig Identities Further Differentiation Topic
Vectors Kinematics Integration
Statistical Distributions
Further Integration
Forces and Motion
Moments
Hypothesis testing
Probability
Projectiles
Parametric Equations Projectiles
Binomial Distribution
Projectile Problems
Addition formulae
Repeated Factors
Normal Distribution
Parametric integration
Modelling with trig
Composite inverse functions
Forces in equilibrium
Parametric Differentiation
Resultant forces
Points of Intersection
Rigid Bodies
Eliminating Parameters
Quotient Rule
Modulus function Functions and mapping Combine transformation
Equations of Projectile Motion
Reverse Chain Rule
Path of Projectiles
Vectors in 3D
Integration by parts
Null Hypothesis
Application to mechanics
Integration by substitution
Motion in 2&3D
Trapezium Rule
Finding areas
Conditional Probability
Differentiation exponentials and logs
Topic Tests
Examination
Topic Tests
Revision of As and A2 Content
Differential Equations
Partial Fractions
Product Rule
Assessment
Further Algebra
Term 3
Double angle formulae
Chain Rule
Summary of Content
Term 2
Examination
Revision of Pure and Applied content
A Level Exams
https://www.ocr.org.uk/Images/308723-specification-accredited-a-level-gce-mathematics-a-h240.pdf
Term 1 Complex Numbers Matrices Topic
Modulus Argument Form Loci in Complex Plain Solutions of Equations
Summary of Content
Assessment
Division of Complex numbers Representing complex numbers geographically Multiplication of matrices Transformations Invariance Multiply and divide complex numbers in modulus form Loci in the argand diagram Cubic equations
Solving polynomial equations with complex roots Topic Test
Term 2
Determinant of 2x2 matric Inverse of 2x2 matrix Using matrices to solve simultaneous equations Proof by induction Finding angle between vectors Vector equations of lines Vector cross product Notations and conditions for a discrete random variable
Roots of Polynomials, Roots of Polynomials, Binomial & Uniform distribution, Poisson Distribution, Binomial & Uniform distribution, Geometric distribution Kinematics Forces and Motion Cubic equations Quartic equations Complex roots in polynomials Binomial distribution Poisson distribution Sum of two or more Poisson distributions Constant acceleration formulae Variable acceleration Motion in one dimension Forces in equilibrium
Exam
Topic Test
Matrices, Matrices Proof by Induction, Permutations & combinations, Proof by Induction, Permutations & combinations, Vectors and 3d space, Application & Probability
Expectations and variance
Term 3 PMCC
Linear Regression Dependant and independent Variables Friction
Moments Work energy power
SRC Fitted Distribution
Complex Y 2
Hypothesis testing
Centres of Mases 1
Fitted Distribution
Maclurin Series
Impulse Momentum
Revision
Dimensional Analysis Model of friction Moment of a force at an angle Gravitational protentional energy Work and kinetic energy Power Function of random variables Least square regression
Goodness of fit test Confidence intervals Rank correlation Impulse Conservation of momentum Newtons law of impact Dimensional analysis
Dimensional analysis Working with complex numbers Representing complex number geometrically Revision & exam practice
Newtons laws of motion
https://www.ocr.org.uk/Images/308752-specification-accredited-a-level-gce-further-mathematics-a-h245.pdf
Exam
Topic Test
Mocks
Term 1 Polar Coordinates
Complex Numbers
Hyperbolic Functions
Further Calculus
Matrices
Applications of integration
Topic
Vectors Series and Induction Oblique Impacts
Summary of Content
Term 2
Sketching curves with polar coordinates Finding area enclosed by polar curve Inverse hyperbolic function Integrating using hyperbolic functions The equation of plane Lines and planes Finding distances The determinant of 2x2 matrix Finding the inverse of a 3x3 matrix Intersection of 3 planes
Centres of Mass
First order differential equations Normal Distribution Confidence intervals
First order Differential equations
Second Order
The modulus and argument of complex numbers De Moivre theorem The nth root of a complex number Multiple angle identities Volumes of revolutions The mean value of a function General integration Improper integral Calculus with inverse trigonometry Partial fractions Further integration Centre of mass o f2 and 3D bodies
Modelling rates of change Separation of variables Integrating factors Higher order differential equations Auxiliary equations with complex roots Non-homogeneous differential equations System of differential equations Normal distribution More than two independent variables Distribution of the sample mean
Differential equations
Term 3
Motion under a variable force Circular motion 2 Hooks law Non-parametric test
Revision of As and A2 Content Exams
Hypothesis testing
Motion in more than one dimension Acceleration dependant upon velocity The work energy equation Circular motion with variable sped Motion in vertical circle Strings and springs Vertical forces involving elastic forces Goodness of fit test The Wilcoxon rank sun test Non-parametric test
Revision of Pure and Applied content
Assessment
https://www.ocr.org.uk/Images/308752-specification-accredited-a-level-gce-further-mathematics-a-h245.pdf
Alongside developing their knowledge base over time, students will be simultaneously acquiring the skills required to demonstrate this knowledge and further deepen their learning. The interplay between skills and knowledge is important, not just for examination success but also to allow students to develop as confident and independent learners. The following skills are developed within each student's journey through the Mathematics curriculum and are assessed regularly throughout the academic year:

Problem Solving and Mindset
- - construct substantial chains of reasoning, including convincing arguments and formal proofs - generate efficient strategies to solve complex mathematical and nonmathematical problems by translating them into a series of mathematical processes - make and use connections, which may not be immediately obvious, between different parts of mathematics - critically evaluate methods, arguments, results and the assumptions made - quickly identify different ways to solve a problem, choose the most efficient way and apply it accurately - be critical of completed work to spot errors and learn from mistakes - show high levels of perseverance by tackling a given problem a number of times if necessary - willing to carry out personal research to aid problem solving

Communication
- All solutions are given with clear and well structured working. The correct technical terminology and symbols are used throughout. In written proofs clarity is very high. In interpretive answers writing is concise, accurate and mathematically precise. Mathematical reasoning is easy to follow.

Key Underlying Skills
- Estimate answers to calculations by rounding numbers to 1 sig. fig Estimate answers to one- or two-step calculations
Link to full A Level and GCSE Skills Assessment Grid for Mathematics