GCSE Exam & Specification
GCSE Exam Board: 
Edexcel 
Link to GCSE Specification: 
Curriculum Intent
Our curriculum is designed to meet the needs of our students in our local context and is underpinned by these 4 guiding principles:
 Rich and Powerful Knowledge: We follow a spiral curriculum, with all knowledge sequenced carefully through our curriculum map, building on previously learnt concepts across the key stages. Retrieval practice is used to ensure key concepts and formulae are committed to long term memory. We do this with low stakes tests (LSTs) at the beginning of each lesson and checking cumulative knowledge through diagnostic assessments (DAs). We also use core knowledge organisers (CKOs) to provide a place for students to identify the knowledge for the term in one place.
 Objective and Question Driven: Each lesson is designed around mastering an objective and being able to solve problems using the knowledge learnt. Throughout our lessons, learning towards these objectives is checked through in depth and probing questions. Further to this, our online platform for home learning, Sparx, provides multiple opportunities to check these objectives have been achieved, and adapt our teaching accordingly to ensure progress is being made.
 Mastering The Foundations (Literacy and Numeracy): Talk tasks are used in lessons to encourage students to be able to articulate the rationale behind their thinking. Other techniques such as write pair share are used to encourage students to write in full sentences and be able to justify their answers.
 Inclusive and Ambitious: Through our mastery curriculum, all students will learn the same ambitious content with scaffolding provided when needed, rather than reducing content students are expected to learn. There are many opportunities for stretch and depth in all lessons. We also provide the option for students to take an additional further maths qualification in year 11.
Implementation
Our curriculum implementation is shaped across all phases of the academy by a set of shared principles that underpin pedagogy at AINA. The following curriculum map outlines the ambitious curriculum your child will experience at AINA.
Reception  Math
Autumn 1 
Early maths experiences Pattern and number 
Autumn 2 
Numbers within 6 Measures  ordering Shape and sorting 

Early maths experiences  Classify, match, compare and order sets. Pattern and early number: Describe, copy, and extend simple patterns. Explore numbers to 3. 
Numbers within 6  Count, fine one more and one fewer, order and know conservation within 6. Addition and subtraction within 6  Add and subtraction within 6. Measures  Estimate, order and compare capacity, weight, and lengths. Shape and sorting  Describe and sort 2D shapes and describe positions. 
Spring 1 
Numbers within 10 Calendar and time Grouping and sharing 
Spring 2 
Number patterns within 15 Doubling and halving Shape and pattern – 2D and 3D 

Numbers within 10  Count, represent, order and fine one fewer and one more. Calendar and time  Know the days of the week, seasons, and sequence daily events. Addition and subtraction within 10  Add and subtraction within 10. Grouping and sharing  Share into equal groups. 
Number patterns within 15  Count and explore different representations. Order and explore number patterns to 15. Find one more or fewer. Doubling and halving  Double and half numbers and explore relationships. Shape and pattern  Describe and sort 2D and 3D patterns. Recognise and complete patterns. 
Summer 1 
Securing addition and subtraction facts Number patterns within 20 Number patterns beyond 20 
Summer 2 
Money Measures  capacity Exploring patterns 

Securing addition and subtraction facts  Explore commutativity and compare two amounts. Number patterns within 20  Count, represent and find one more and fewer within 20. Number patterns beyond 20  Find one more and one less, estimate, count, group and share within 20. 
Money  Recognise coins and values, explore coin combinations within 20p and find change from 10p. Measures  Describe capacities, compare volumes/weights, and estimate and order lengths. Explore patterns  Explore, recognise, and extend patterns. Apply number, shape, and measures knowledge. Count forwards and backwards. 
Year 1  Math
Autumn 1 
Numbers within 10 Geometry – position and direction 
Autumn 2  Numbers within 20 

Number – Explore number, place value, addition, and subtraction within 10. Geometry – Explore properties of shape, position, and direction. 
Number – Explore addition and subtraction within 20. 
Spring 1 
Measures Calculation strategies Numbers within 50 
Spring 2 
Addition and subtraction Fractions Measures  comparing 

Measures: Time – Tell o’clock and halfpast times and sequences daily events. Calculation strategies – Explore addition and subtraction strategies. Number – Represent, sequence, and compare numbers within 50. Count in 2s, 5s and 10s. Describe and complete number patterns. 
Additional and subtraction within 20 Fractions – Explore halves and quarters of shapes and quantities. Measures – Compare lengths and masses and explore doubling and halving. 
Summer 1 
Numbers from 50 to 100 Addition and subtraction – 2 digits Money 
Summer 2 
Multiplication and division Measures  comparing 

Numbers 50 to 100 and beyond – Read, write, represent, order, and compare numbers to 100. Find 1 and 10 more/fewer and identify number patterns. Additional and subtraction – Calculate 2digit numbers and ones. Explore regrouping and investigate number bonds to 20. Money – Name coins, notes, and their values. Represent same values using different coins and find change. 
Multiplication, division – Explore arrays, share equally, double and link halving to fractions. Measures – Compare capacities, volumes and lengths and apply fractions to capacity. 
Year 2  Math
Autumn 1 
Numbers within 100 Addition and subtraction – 2digit numbers 
Autumn 2 
Measures – inequalities Graphs Multiplication and division 

Numbers within 100 – Read, write, represent, compare, and order to 100. Explore patterns including odds, evens, tens and ones. Addition and subtraction of 2digit numbers – Apply number bonds, represent, and explain addition and subtraction and apply to problems using bar models. 
Measures: Length – Draw lengths and use < > = to compare and order lengths in cm and m. Graphs – Represent and interpret pictograms, block diagrams, tables, and tally charts. Multiplication and division – Explore multiplication and division through arrays and make connections to inverse, commutativity and times tables. 
Spring 1 
Measures  time Fractions Addition and subtraction  regrouping 
Spring 2 
Money Geometry 

Measures: Time – Tell the time to quarter past/to and nearest 5minute intervals. Calculate duration of time, sequence daily events and know the number of minutes in an hour and hours in a day. Fractions – Explore part/whole relationships, find fractions of a set, relate fractions to division and know some fractions can be equivalent. Addition and subtraction of 2digit numbers  Illustrate, represent, and explain addition and subtraction involving regrouping. 
Measures: Money Recognise coins and notes, use £ and p, and calculate change. Geometry – Identify and explore properties of shapes, position, and direction. 
Summer 1 
Numbers within 1000 Measures – capacity and mass 
Summer 2 
Calculation strategies Exploring multiplicative thinking 

Numbers within 1000 – Represent, compare, and read scales. Measures: Capacity and Mass – Read, measure, and estimate capacity, volume, mass, and temperature. 
Calculation strategies  Apply addition and subtraction strategies to solve equations and illustrate and explain addition and subtraction using column method. Exploring multiplicative thinking  Pattern seek with multiples of 2, 3, 4 5 and 10 using an array, use known facts to derive facts from the 3 and 4times tables, connect multiplication and division facts using commutativity and inverse. 
Year 3  Math
Autumn 1 
Number sense Place value Graphs 
Autumn 2 
Addition and subtraction – written methods Measures  perimeter 

Number sense and exploring calculation strategies – Read, write, compare, and order numbers and use know facts to mentally calculate. Place value  Read, write, represent, partition, order and compare 3digit numbers. Find 10 and 100 more or less and round to the nearest 10 and 100. Graphs  Collect, interpret, and present data using charts and tables. 
Addition and subtraction  Develop and use a range of mental calculation strategies and use and explain formal written methods – column method. Measures: Length and perimeter  Measure, draw and compare lengths, add, and subtract lengths and calculate perimeter. 
Spring 1 
Multiplication and division  commutativity Calculations 
Spring 2 
Measures  time Fractions 

Multiplication and division – Understand commutativity and inverse and explore multiplication and division facts for 2, 3, 4, 5, 6, 8 and 10. Calculating with multiplication and division  multiply and divide by 10, multiply a 2digit number by a 1digit number, divide 2digit by a 1digit and solve correspondence problems 
Measures: Time  Tell, record, write and order the time analogue and digital, including 12hour representations. Measure, calculate and compare durations. Fractions – Add, subtract, compare, and order fractions. 
Summer 1 
Angles Measures – using scales 
Summer 2 
Multiplicative thinking Calculation strategies – place value 

Geometry: Angles and shape  Identify angles including right angles, identify and draw parallel and perpendicular lines, draw/make, classify, and compare 2D and 3D shapes, and measure perimeters. Measures  Read scales with different intervals, weigh, compare and estimate masses and capacities with mixed units. 
Applying multiplicative thinking – Represent and solve multiplication and division problems. Exploring calculation strategies and place value  Add and subtract mentally, find 10, 100 and 1000 more or less, order and compare beyond 1000 and round number. 
Year 4  Math
Autumn 1 
Reasoning with large numbers Addition and subtraction 
Autumn 2 
Multiplication and division Data 

Reasoning with large numbers  Read, write, represent, order and compare 4digit numbers, find 10, 100 or 1000 more or less, round numbers to the nearest 10, 100 or 1000. Addition and subtraction  Select appropriate strategies to add and subtract, illustrate, and explain appropriate addition and subtraction strategies including column method with regrouping. 
Multiplication and division  Identify and explore patterns in multiplication tables including 7 and 9 and explore mental x and \ strategies. Illustrate and explain short multiplication. Discrete and continuous data  Read, interpret, compare, and construct pictograms, bar charts and time graphs. 
Spring 1 
Multiplication and division Fractions 
Spring 2 
Measures  time Decimals Area and perimeter 

Calculating with multiplication and division – illustrate short division and divide using partitioning. Fractions  Explore different interpretations and representations of fractions, find equivalent fractions, represent fractions greater than one as mixed number and improper fractions and add and subtract fractions with the same denominator including fractions greater than one. 
Measures: Time  Read and convert analogue to digital and 12hour and 24hour times. Convert between units of time. Decimals – Convert decimal equivalents to tenths, quarters, and halves. Compare numbers with same number of decimal places. Multiply and divide by 10 and 100 including decimals. Area and perimeter – Calculate for rectangles and rectilinear shapes. 
Summer 1 
Measures and money Shape and symmetry 
Summer 2 
Geometry – direction Patterns and sequences 3D shapes 

Measures: Solving measures and money problems – Convert and select appropriate units of measure. Use strategies to investigate problems. Geometry: Shape and symmetry  Classify, compare, and order angles. Compare and classify 2D shapes. Identify lines of symmetry. 
Geometry: Position and direction  Describe and plot using coordinates. Describe translations. Reasoning with pattern and sequences – Read and recognise Roman numerals up to 100. Explore sequences and patterns. Geometry: 3D shape  Use understanding of 3D shapes, identify 3D shapes from 2D representations 
Year 5  Math
Autumn 1 
Reasoning with large integers Addition and subtraction Statistics 
Autumn 2 
Multiplication and division Perimeter and area 

Reasoning with large whole integers  Read, write, order and compare numbers up to one million. Round numbers within one million to the nearest multiple of powers of ten. Read Roman numerals up to M. Integer addition and subtraction  Use rounding to estimate. Use a range of mental calculation strategies to add and subtract integers. Illustrate the written method of column addition and subtraction. Select efficient calculation strategies. Statistics: Line graphs and timetables  Complete, read and interpret data from line graphs. Read and interpret timetables including calculating intervals. 
Multiplication and division  Identify multiples and factors. Investigate prime numbers. Multiply and divide by 10, 100 and 1000 (integers). Multiply and divide using derived facts. Use written methods to multiply and divide. Use a range of mental calculation strategies. Perimeter and area Investigate and estimate area and perimeter of rectilinear shapes. Estimate the area of nonrectilinear shapes. 
Spring 1 
Fractions and decimals Angles 
Spring 2 
Fractions and percentages Transformations 

Fractions and decimals  Read, write, order and compare decimals. Round decimals to the nearest whole number. Represent, identify, name, write, order and compare fractions (including improper and mixed numbers). Calculate fractions of amounts. Geometry: Angles  Classify, compare, and order angles. Measure a draw angle with a protractor. Understand and use angle facts to calculate missing angles. 
Fractions and percentages  Add, subtract fractions with denominators that are multiples of the same number. Multiply fractions (and mixed numbers) by a whole number. Explore percentage, decimal, fractions equivalence. Geometry: Transformations  Read and identify coordinates in all four Quadrants. Translate and reflected coordinates and shapes. Calculate intervals across zero as a context for negative numbers. 
Summer 1 
Units of measure Decimals 
Summer 2 
Polygons Volume Problem solving 

Measures: Converting units of measure  Convert between metric units of length, mass and capacity and units of time. Know and use approximate conversion between imperial and metric. Calculating with whole numbers and decimals  Mental strategies to add and subtract involving decimals. Use formal written strategies to add, subtract and multiply involving decimals. Multiply and divide decimal numbers by ten, 100 and 1,000. Derive addition, subtraction and multiplication facts involving decimals. 
Geometry: 2D and 3D shape  Classify 2D shapes and reason about regular and irregular polygons. Know the properties of diagonals of quadrilaterals. Classify 3D shapes and create 2D representations of 3D shapes. Measures: Volume  Use cube numbers and notation, estimate volume, convert units of volume. Problem solving – Solve problem involving negative numbers and calculating intervals across zero. Calculate the mean, interpret remainders, investigate numbers (consecutive, palindromic and multiples). 
Year 6  Math
Autumn 1 
Integers and decimals Multiplication and division Order of operations 
Autumn 2 
Fractions Angles 

Integers and decimals  Represent, read, write, order, and compare numbers up to ten million. Round numbers, make estimates and use this to solve problems in context. Solve multistep problems involving addition and subtraction. Multiplication and division  Identify and use properties of number, focusing on primes. Multiply larger integers and decimal numbers using a range of strategies. Divide integers by 1digit and 2digit numbers representing remainders appropriately. Illustrate and explain formal multiplication and division strategies. Calculation problems  Understand the use of brackets. Use knowledge of the order of operations to carry out calculations. Generate and describe linear number sequences. Express missing number problems algebraically. Solve equations with unknown values. 
Fractions  Order, simplify, find equivalents, and compare fractions, including those greater than one. Recall equivalence between common fractions and decimals. Find decimal quotients using short division. Add and subtract fractions. Measures: Missing angles and length  Compare and classify a range of geometric shapes. Use angle facts to find unknown angles 
Spring 1 
Coordinates Fractions Decimals and measure 
Spring 2 
Area Percentages and statistics Proportion 

Geometry: Coordinates and shapes  Draw a range of geometric shapes using given dimensions and angles. Describe, draw, translate and reflect shapes on a coordinate plane. Recognise and construct 3D shapes. Name and illustrate parts of a circle. Fractions  Represent multiplication involving fractions. Multiply two proper fractions. Divide a fraction by an integer. Decimals and measure: Use, read, write, and convert between standard units of measures; length, mass, time, money, and volume as well as imperial units. 
Geometry  Calculate the area of parallelograms and triangles. Calculate, estimate and compare the volume of cuboids. Percentage and statistics  Calculate and compare percentages of amounts. Connect percentages with fractions. Explore the equivalence of fractions, decimals and percentages. Calculate the mean. Construct and interpret lines graphs and pie charts. Compare pie charts. Proportion problems  Use fractions to express proportion. Identify ratio as a relationship between quantities and as a scale factor. Explore unequal sharing involving ratio. 
Summer 1  Consolidation  Summer 2  Consolidation 



Year 7  Math
Autumn 1 
Place value Properties of arithmetic Factors and multiples 
Autumn 2 
Prime factor decomposition Order of operations Positive and negative numbers 

To know, understand and solve problems involving:  Base 10 integers  Addition and subtraction  Base 10 and decimals Multiplying and dividing by 10 and 100
To know, understand and solve problems involving: Multiplication Commutativity Multiplication and division Associativity Distributivity Multiplication facts Number pyramids
To know, understand and solve problems involving: Factors, primes and squares Squares Factor polygons Common multiples Number grids Prime patterns 
To know, understand and solve problems involving:  Indices  Prime factorisation  Highest common factor  Lowest common multiple
To know, understand and solve problems involving: Equal and nonequal priority Combined operations Distributivity and order of operations Unknowns in written calculations
To know, understand and solve problems involving: Negative numbers in context Order and absolute value Modelling addition Further addition Subtracting positive and negative numbers Multiplication as scaling Negative scale factors Further Multiplication Division Axioms and negative numbers 
Spring 1 
Expressions and equations Coordinates 
Spring 2 
Angles Classifying 2D shapes Area of 2D shapes 

To know, understand and solve problems involving:  Simplification  Indices  Substitution  Using a calculator with algebra  Collecting like terms  Expanding brackets  Factorising  Equality  Inverse operations  Solving one and two step equations
To know, understand and solve problems involving: The 2D axes Line segments Midpoints Geometric problems Equations of lines  Exploring horizontal and vertical lines 
To know, understand and solve problems involving:  Describing and comparing angles  Measuring and drawing angles  Finding unknown angles  Alternate angles  Corresponding and allied angles
To know, understand and solve problems involving:  Rotational symmetry  Reflectional symmetry  Classifying triangles  Interior angles of triangles  Comparing quadrilaterals  Tessellation patterns
To know, understand and solve problems involving:  Describing perimeters  Describing area  Areas of parallelograms  Area of triangles 
Summer 1 
Conceptualising and comparing fractions Manipulating and calculating with fractions 
Summer 2 
Ratio Transforming 2D figures 

To know, understand and solve problems involving:  Equal parts of a whole  Fractions and units of measure  Equivalence  Comparing fractions  Ordering decimal fractions
To know, understand and solve problems involving:  Multiplying fractions  Dividing fractions by integers  Dividing with fractions in mixed contexts  Adding and subtracting  Distributivity 
To know, understand and solve problems involving:  In the same ratio  Equivalent ratios  Ratio and proportion in geometry  Dividing into a ratio
To know, understand and solve problems involving:  Translation  Rotation  Reflection  Enlargement 
Year 8  Math
Autumn 1 
Sequences Expressions and Equations 
Autumn 2 
Linear graphs Accuracy and estimation 

To know, understand and solve problems involving:  Generalising linear sequences  Positiontoterm rules
To know, understand and solve problems involving:  Simplification  Indices  Substitution  Using a calculator with algebra  Collecting like terms  Expanding brackets  Factorising  Equality  Inverse operations  Solving one and two step equations 
To know, understand and solve problems involving: Coordinate grids Linear graphs Gradient Equation of a line
To know, understand and solve problems involving:  Rounding using a number line  Rounding to decimal places  Estimation  Significant figures  Rounding to one significant figure 
Spring 1 
Ratio review Real life graphs Direct and inverse proportion 
Spring 2 
Univariate data Bivariate data 

To know, understand and solve problems involving:  Parts and wholes  Sharing in a ratio  Equal proportion
To know, understand and solve problems involving:  Representing linear relationships  Sketching graphical relationships  Speed as rate  Distancetime graphs
To know, understand and solve problems involving:  Introduction to conversion  Direct proportion in the Cartesian plane  Gradient and the constant of proportionality  Direct proportion – unitary method  Inverse proportion  Speed, distance and, time  Percentage change with speed, distance and, time 
To know, understand and solve problems involving:  Types of data  Data collection  Representing data  Comparing representations  Mean  A changing mean  Means from frequency tables  Mode, median and range  Finding averages from bar charts
To know, understand and solve problems involving:  Correlation  Lines of best fit  Median and range from scatter charts  Correlation and causation 
Summer 1 
Angles in polygons Further expressions and equations 
Summer 2 
Circles Volume and surface area 

To know, understand and solve problems involving:  Polygons  Interior angles  Sum of interior angles of a polygon  Exterior angles  Angle notation
To know, understand and solve problems involving:  Combined multiplication and indices  Substitution with indices and division  Simplification with division and indices  Expanding and collecting like terms  Further factorising  Solving equations with expanding  Solving equations with unknowns both sides  Changing the subject 
To know, understand and solve problems involving:  Anatomy of a circle  Circle constructions  Circumference  Perimeter of compound shapes  Area of circles  Area and perimeter of compound shapes
To know, understand and solve problems involving:  Faces, edges and vertices  Nets of cubes  Nets of cuboids  Surface area of cuboids  Prisms  Nets of prisms  Surface area of prisms  Cylinders  Volume of cuboids  Volume of prisms 
Year 9  Math
Autumn 1 
Fractions, decimals, percentages review Probability Sets, Venn and sample space 
Autumn 2 
Solving algebraically Solving graphically 

To know, understand and solve problems involving: FDP conversions Arithmetic with FDP
To know, understand and solve problems involving:  Chance and probability  Theoretical probability  Comparing probabilities  Complementary events  Sample space diagrams  Probability of combined events  Probability tree diagrams  Frequency tree diagrams  Twoway tables  Relative frequency  Expectation and bias
To know, understand and solve problems involving: Intersections  Unions  The universal set  Set notation  Probability in set notation  Venn diagrams and experimental probability  Expected outcomes and Venn diagrams 
To know, understand and solve problems involving:  Equivalent equations  Adding and subtracting equations  Solving simultaneous equations  Solving simultaneous equations – Scaling  Solving simultaneous equations  Rearranging  Substitution of expressions  Solving simultaneous equations through substitution
To know, understand and solve problems involving:  Graphing y=mx+c  Graphing ax+by=c  Solving graphically  Visualising linear relationships  Areas of enclosed regions  Parallel lines  Solving simultaneous inequalities graphically 0, 1 or 2 solutions 
Spring 1 
Angles review Constructions, congruence and loci Pythagoras 
Spring 2 
Ratio review Similarity and enlargement Trigonometry 

To know, understand and solve problems involving:  Angles and triangles  Angles in polygons
To know, understand and solve problems involving:  Circle loci  Equidistant points  Perpendicular bisectors  Bisecting angles  Constructing triangles  Congruence  Congruence proof  Constructing angles
To know, understand and solve problems involving:  The hypotenuse  Pythagoras’ theorem  Pythagoras in 3D shapes  Pythagoras and the Cartesian plane 
To know, understand and solve problems involving:  Parts and wholes  Ratios and fractions  Scale factors and constants of proportionality  Unit ratios
To know, understand and solve problems involving:  Congruence  Enlargement  Similarity  Constants of proportionality  Centre of enlargement  Enlargement on a coordinate grid  Area and enlargement
To know, understand and solve problems involving:  The unit circle  similar triangles  Sine and cosine graphs  Trigonometry and generalising right angle triangles  Opposite and adjacent  Generalising with sin cos tan  Finding the angle  Generalising rightangled trigonometry 
Summer 1 
Algebra review Quadratics expressions and equations 
Summer 2 
Surds Indices Standard form Growth and decay 

To know, understand and solve problems involving:  Algebraic conventions  Simplifying by collecting like terms  Expanding brackets  Factorising expressions  Substitution  Rearranging and solving equations  Equations with two variables
To know, understand and solve problems involving:  Quadratic expressions  Substituting into a quadratic  Plotting quadratic graphs 1  Interpreting quadratic graphs:  Find y from x  Factorised form of quadratics  Expanding double brackets  Expanding 3 or more binomials  Comparing representations 
To know, understand and solve problems involving: Rational and irrational numbers  Exact and approximate values  Surds  Accuracy
To know, understand and solve problems involving:  Indices  Roots 0 and negative indices  Base 10  Multiplication of indices  Division of indices
To know, understand and solve problems involving: Powers of ten Comparing numbers Writing standard form Connecting standard form
To know, understand and solve problems involving:  Decimal multipliers  Compound growth and decay  Graphs of growth and decay  Reverse compound change 
Year 10  Math
Higher
Autumn 1 
Number Algebra 
Autumn 2 
Data Fractions, decimals, percentages and ratio 

To know, understand and solve problems involving: Number problems and reasoning Place value and estimation Bounds HCF and LCM Indices Standard form Surds
To know, understand and solve problems involving: Expanding and factorising Solving equations Formulae Sequences 
To know, understand and solve problems involving: Pie charts Backtoback stem and leaf diagrams Frequency polygons Scatter graphs Averages and the range Averages from frequency tables Twoway tables
To know, understand and solve problems involving: Fraction and arithmetic Reciprocals Ratio Proportion Percentages Fraction, decimal, percentages, and ratio equivalence Growth and decay Compound measures Recurring decimals to fractions 
Spring 1 
Angles and rightangled triangles Graphs 
Spring 2 
Equations and inequalities Area and volume 

To know, understand and solve problems involving: Angle properties Angles in polygons Angles in parallel lines Pythagoras Trigonometry Exact values
To know, understand and solve problems involving: Linear graphs Rates of change Equation of a line Quadratic graphs Cubic graphs Reciprocal graphs 
To know, understand and solve problems involving: Solving inequalities Quadratic equations Quadratic inequalities Completing the square Simultaneous equations
To know, understand and solve problems involving: Perimeter and area Volume and surface area of prisms Circles Sector area and arc length Volume and surface area of cylinders, spheres, cones, and pyramids 
Summer 1 
Transformations and constructions Similarity and congruence 
Summer 2 
Probability Review 

To know, understand and solve problems involving: Translation Reflection Rotation Enlargement Scale drawings and bearings Constructions Loci
To know, understand and solve problems involving: Congruence Geometric proof Similarity in 2D Similarity in 3D 
To know, understand and solve problems involving: Single events Combined events Mutually exclusivity and independence Tree diagrams Conditional probability Venn diagrams and set notation
To review units from the year identified, bespoke to each class. 
Foundation
Autumn 1 
Number Algebra Equations, inequalities and sequences 
Autumn 2 
Data Averages and range 

To know, understand and solve problems involving:  Place Value  Negative numbers  Order of operations  Rounding and estimation  Decimal calculations  Squares cubes and roots  Factors and multiples  Indices  Standard form
To know, understand and solve problems involving:  Algebraic expressions  Simplifying expressions  Substitution  Formulae  Expanding brackets  Factorising  Using expressions and formulae
To know, understand and solve problems involving:  Solving equations  Inequalities  Generating sequences  Nth term of a sequence 
To know, understand and solve problems involving:  Frequency tables  TwoWay tables  Representing Data  Time Series  Stem and leaf diagrams  Pie Charts  Scatter graphs  Line of best fit
To know, understand and solve problems involving:  Mean and range  Mode, median, IQR  Mean from a frequency table  Sampling 
Spring 1 
Fractions, decimals, percentages Ratio 
Spring 2 
Angles Rightangled triangles 

To know, understand and solve problems involving:  Compare fractions  Add and subtract fractions  Multiplying and dividing fractions  Fractions and decimals  Fractions and percentages  Finding percentage of a quantity  Simple Interest  Compound interest  Percentage increase and decrease
To know, understand and solve problems involving:  Writing ratios  Dividing quantities in a given ratio  Comparing ratios and writing 1:n  Proportion  Unitary method  Direct and Inverse proportion graphs  Compound measures 
To know, understand and solve problems involving:  Properties of shapes  Angles in parallel lines  Angles in triangles  Exterior and Interior angles
To know, understand and solve problems involving:  Pythagoras’ Theorem  Trigonometry SOH, CAH, TOA 
Summer 1 
Perimeter, area and volume Probability 
Summer 2 
Graphs Review 

To know, understand and solve problems involving:  Rectangles, parallelograms, triangles  Trapezia  Area of compound shapes  Surface area of 3D solids  Volume of prisms
To know, understand and solve problems involving: Calculating probabilities  Experimental probabilities  Venn diagrams  Tree diagrams 
To know, understand and solve problems involving:  Coordinates  Linear Graph  Gradient and y=mx+c  Real life graphs  Distance time graphs
To review units from the year identified, bespoke to each class 
Year 11  Math
Higher
Autumn 1 
Similarity and congruence More Trigonometry Further Statistics Equations and Graphs 
Autumn 2 
More Algebra Proportion and Graphs 

To know, understand and solve problems involving: Congruence Geometric proof Similarity in 2D Similarity in 3D
To know, understand and solve problems involving: Trigonometric Graphs Sine rule Cosine rule Area of a triangle Solving Pythagoras and trigonometry problems in 3D
To know, understand and solve problems involving: Sampling Cumulative frequency Box plots Histograms Comparing data
To know, understand and solve problems involving: Solving simultaneous equations graphically Quadratic equations Quadratic graphs Cubic equations Iteration 
To know, understand and solve problems involving: Rearranging formulae Algebraic fractions Proof Functions
To know, understand and solve problems involving: Direct and inverse proportion Exponential functions Nonlinear graphs Transformation of functions 
Spring 1 
Circle Theorems Vectors and Geometric Proof Revision 
Spring 2  Revision 

To know, understand and solve problems involving: Radii and chords Tangents Angles in circles
To know, understand and solve problems involving: Vector notation Vector arithmetic Parallel vectors Collinear points Solving geometric problems
All units – bespoke scheme of learning created for each class 
All units – bespoke scheme of learning created for each class 
Summer 1  Revision  Summer 2  Exams 

All units – bespoke scheme of learning created for each class 
Foundation
Autumn 1 
Transformations Congruence, similarity and vectors Loci and construction 
Autumn 2 
Further perimeter, area and volume Quadratics 

To know, understand and solve problems involving:  Translation  Reflection  Rotation  Enlargement  Combining transformations
To know, understand and solve problems involving:  Similarity and enlargement  Properties of similar shapes  Congruent shapes  Rules of Congruence
To know, understand and solve problems involving:  Plans and elevations  Scale drawings  Constructions  Loci and regions  Bearings 
To know, understand and solve problems involving:  Area and Circumference of a Circle  Semicircles and sectors  Composite shapes  Volume and surface area of cylinders  Volume and surface area of pyramids, cones, and spheres
To know, understand and solve problems involving:  Expanding double brackets  Plotting graphs  Factorising Quadratics  Solving Quadratics 
Spring 1 
Algebra Revision 
Spring 2  Revision 

To know, understand and solve problems involving:  Graphs of cubic and reciprocals  Non – linear graphs  Solving simultaneous equations graphically  Simultaneous equations algebraically  Rearranging formulae
All units – bespoke scheme of learning created for each class 
All units – bespoke scheme of learning created for each class 
Summer 1  Revision  Summer 2  Exams 

All units – bespoke scheme of learning created for each class 
Year 12  Math
Pure
Autumn 1 
Algebraic Expressions Quadratics Equations and Inequalities Straight Line Graphs Circles 
Autumn 2 
Binomial Expansion Graphs and Transformations Differentiation 

To know, understand and solve problems involving: Expanding brackets Factorising Indices, Surds, rationalising the denominator
To know, understand and solve problems involving: Solving quadratics Completing the square Functions Quadratic Graphs The discriminant Modelling with quadratics
To know, understand and solve problems involving: Linear simultaneous equations Quadratic simultaneous equations Simultaneous equations and graphs Linear inequalities Quadratic inequalities Inequalities on graphs
To know, understand and solve problems involving: Equation of a line Parallel and perpendicular lines Length and area Modelling with straight lines
To know, understand and solve problems involving: Midpoints and perpendicular bisectors Equation of a circle Intersections of lines and circles Tangent and chord properties Circles and tangents 
To know, understand and solve problems involving: Pascal’s triangle Factorials The binomial expansion Solving binomial problems Binomial estimation
To know, understand and solve problems involving: Cubic graphs Quartic graphs Reciprocal graphs Points of intersection Translating graphs Sketching graphs Transforming functions
To know, understand and solve problems involving: Gradients of curves Finding the derivative Differentiation of terms Gradients, tangents and normal Increasing and decreasing functions Second order derivatives Stationary points Sketching gradient functions Modelling with differentiation 
Spring 1  Integration  Spring 2 
Exponentials and Logarithms Trig Ratios Trig Identities and Equations 

To know, understand and solve problems involving: Integrating terms Indefinite integrals Finding functions Definite integrals Areas under curves Area under the xaxis Area between curves and lines 
To know, understand and solve problems involving: Exponential functions Exponential modelling Logarithms Laws of logs Solving equations using logs Working with natural logs Logs and nonlinear data
To know, understand and solve problems involving: Sine rule Cosine rule Area of triangles Solving triangle problems Graphs of trig functions Transformation of trig graphs
To know, understand and solve problems involving: Angles in four quadrants Exact values of trig ratios Trig identities Solving trig equations Equations and identities 
Summer 1 
Algebraic Methods 
Summer 2 
Trig Functions Trig and Modelling 

To know, understand and solve problems involving: Algebraic fractions Dividing polynomials The factor theorem Proof Repeated factors Algebraic division 
To know, understand and solve problems involving: Sec, cosec and cot Trig identities Inverse trig functions Addition formulae Double angle formulae Solving further trig equations Simplifying acosx+bsinx Proving trig identities Modelling with trig functions 
Applied
Autumn 1 
Probability Conditional Probability Statistical Distributions 
Autumn 2 
Hypothesis Testing Vectors Modelling in mechanics Constant Acceleration 

To know, understand and solve problems involving: Calculating probabilities Venn Diagrams Mutually exclusive and independent events Tree diagrams
To know, understand and solve problems involving: Set notation Conditional probability Probability formulae
To know, understand and solve problems involving: Probability distributions The binomial distribution Cumulative probabilities 
To know, understand and solve problems involving: Hypothesis testing Critical values and regions One tailed and two tailed tests
To know, understand and solve problems involving: Vectors Magnitude and direction Position vectors Solving geometric problems Modelling with vectors
To know, understand and solve problems involving: Constructing a model Modelling assumptions Quantities and units Working with vectors
To know, understand and solve problems involving: Displacement time graphs Velocity time graphs Constant acceleration formulae Vertical motion under gravity 
Spring 1 
Forces Variable Acceleration 
Spring 2 
Data Collection Measures of Location and Spread Representations of Data Correlation 

To know, understand and solve problems involving: Force diagrams Forces as vectors Force and acceleration Motion in 2D Connected particles Pulleys
To know, understand and solve problems involving: Functions of time Differentiation Maxima and minima problems Using integration Constant acceleration formulae 
To know, understand and solve problems involving: Population and samples Nonrandom sampling Types of data Large data set
To know, understand and solve problems involving: Measures of central tendency Other measures of location Measures of spread Variance and standard deviation Coding
To know, understand and solve problems involving: Outliers Box plots Cumulative frequency Histograms Comparing data
To know, understand and solve problems involving: Exponential models Measuring correlation Hypothesis testing for zero correlation 
Summer 1 
Revision Radians 
Summer 2 
Regression Moments 

All AS units – bespoke SOL
To know, understand and solve problems involving: Radian measure Arc length Sector area Solving trig equations in radians Small angle approximations 
To know, understand and solve problems involving: Correlation Linear regression
To know, understand and solve problems involving: Resultant moments Equilibrium Centre of mass Tilting 
Year 13  Math
Pure
Autumn 1  Differentiation  Autumn 2  Integration 

To know, understand and solve problems involving: Differentiating trig Differentiation exponentials and logs The chain rule The product rule The quotient rule Implicit differentiation Using second derivatives Rates of change 
To know, understand and solve problems involving: Integrating standard functions Integrating f(ax+b) Using trig identities Reverse chain rule Substitution By parts Partial fractions Finding areas Trapezium rule Solving differential equations Modelling with differential equations Integration as the limit of a sum 
Spring 1 
Parametric Equations Binomial Expansion Functions and Graphs 
Spring 2 
Vectors Sequences and Series Numerical Methods Proof by Contradiction 

To know, understand and solve problems involving: Parametric equations Using trig identities Curve sketching Points of intersection Modelling with parametric equations
To know, understand and solve problems involving: Partial fractions
To know, understand and solve problems involving: The modulus function Functions and mappings Composite functions Combining transformations Solving modulus problems

To know, understand and solve problems involving: 3D coordinate Vectors in 3D Solving geometric problems Application to mechanics
To know, understand and solve problems involving: Arithmetic sequences and series Geometric sequences and series Sum to infinity Sigma notation Recurrence relations Modelling with series
To know, understand and solve problems involving: Locating roots Iteration Newton Raphson method Applications to modelling
To know, understand and solve problems involving: Proof by contradiction 
Summer 1  Revision  Summer 2  Exams 

All units – bespoke SOL 
Applied
Autumn 1 
Forces and friction Application of Forces 
Autumn 2 
Projectiles Further Kinematics 

To know, understand and solve problems involving: Resolving forces Inclined planes Friction
To know, understand and solve problems involving: Static particles Modelling with statics Friction and static particles Static rigid bodies Dynamics and inclined planes Connected particles 
To know, understand and solve problems involving: Horizontal projection Horizontal and vertical components Projection at any angle Projectile motion formulae
To know, understand and solve problems involving: Vectors in kinematics Vector methods with projectiles Variable acceleration in one dimension Differentiating vectors Integrating vectors 
Spring 1  Normal Distribution  Spring 2  Revision 

To know, understand and solve problems involving: Probability using the normal distribution The inverse normal distribution The standard normal distribution Finding the mean and standard deviation Approximating the binomial distribution Hypothesis testing with the normal distribution 
All units – bespoke SOL 
Summer 1  Revision  Summer 2  

All units – bespoke SOL  Exams 
Support from Home
Recommended websites/online platforms for home/independent learning:
 Sparx – home learning will be set here each week but students can do further independent learning through the platform. Students are provided with Sparx codes to search based on what they have been studying recently, and are reminded of these during LSTs so any gaps identified in retrieval practice can be closed
 Mathsgenie.com  students can find practice exam papers as well as topic by topic revision booklets here
 Corbettmaths.com  students can find practice exam papers as well as topic by topic revision booklets here
Feedback
Our aim is to ensure feedback helps drive student achievement by providing meaningful information that helps to address misconceptions and close curriculum and knowledge gaps.
Every piece of feedback given to our students should results in an action by the student. The following types of feedback that are given to students at AINA are:
 Self and peer assessment
 Written feedback
 Verbal feedback
Students receive written teacher feedback after formative diagnostic or interim assessments. The cycle is as follows:
 A score/percentage for the assessment
 Precise teacher comment/s linked to the curriculum/knowledge gap written in red
 A response/action/redo by the student in green pen
Career Pathways
Alevel Maths is a versatile subject that pairs well with several other subjects. It can be studied at university with sciences such as Physics or subjects such as Economics, Accounting and Finance, and IT. Subjects such as Geography, Psychology and Sociology are also likely to have components that those with prior study of Maths will far more easily master. By studying Alevel Maths, you'll gain an immense amount of analytical and problemsolving skills. These are all transferable and can be applied to many different areas of your life. Maths at ALevel will also give you research skills that will allow you to find solutions to problems and investigate theories.
Success in this subject can lead to:
University courses in:
 Mathematics
 Medicine
 Dentistry
 Sciences
 Psychology
 Engineering
 Computing
Some of the most exciting and wellpaid careers revolve around maths. Jobs in finance, medicine, engineering, and business are all open to people with a background in Mathematics, as are careers in AI, Robotics and technology. The Government is currently the single largest employer of mathematicians in the country. The GCHQ recruits a huge amount of maths graduates every year. You might be employed to decode encrypted messages or develop better ways of keeping codes secret.
Careers in:
 Economics
 Finance
 Accounting
 Research
 Engineering
 Banking
 Education
 Software development
 Statistics
 Quantity surveying
 Data analysis
Enrichment & Educational Visits
Enrichment & educational visits in this subject include:
 Bletchley Park
 Legoland
 Maths in Action
 Maths competitions (UKMT, Maths Feast)
 CanSat
 Maths Circles