Maths Department Vision
At Larches High school we believe that it is our duty to inspire young people to see the true value of maths in the wider world by bringing maths alive, and make it interesting and accessible. Very often learners have low confidence in their mathematical ability, we aim to increase confidence and attainment in mathematics so that our learners are either able to reintegrate quickly into mainstream education or to achieve a maths qualifications when they leave us in Year 11.
Our aim is for all our students to acquire a deep, longterm, secure and adaptable understanding of the subject by being able to:
 Rapidly and accurately recall and apply facts and concepts
 Develop a growing confidence to reason mathematically
 Develop the ability to apply maths to solve problems, to conjecture and to test hypotheses
‘The purpose of study Mathematics is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A highquality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.’
(https://www.gov.uk/)
Key Stage 3
Key stage 3 will follow the National Curriculum of Mathematics. Students’ progress will be assessed at 6 points during the academic year. Those students needing extra support in maths will be withdrawn for individual intervention sessions. KS3 students will have 5 x 45 minute lessons per week.
Larches High School: Curriculum Planning 202324
Subject: Maths Year Group: KS3 (Y9 = Red, Y8 = Blue, Y7 = Green)
Autumn Term 1  Autumn Term 2  Spring Term 1  Spring Term 2  Summer Term 1  Summer Term 2  
Topics to be covered:  Measures
Algebraic Manipulation Data and averages
Factors, multiples and primes Algebraic expressions Indices Negative numbers 2Dshapes
Sequences Algebraic notation Equality and Equivalence 
Estimation
Representing Data Percentages Fractions, Decimals and percentages Numbers
Place value Ratio Calculations, BIDMAS and using a calculator Substitution
Place value and ordering 1 – 3 FDP equivalence 1 – 3 
Substitution
Sequences Ratio and Proportion Angles
Solving equations and inequalities Time Estimation and approximation Using measures and scales
Addition and subtraction 1 & 2 Multiplication and division 1& 2 Fractions and percentages 
Area and perimeter
Calculations and BIDMAS Indices Similarity and congruency
Fractions Percentages Averages Angles
Directed numbers 1 & 2 Addition and subtraction of fractions 1 – 3 
Pythagoras
Trigonometry Construction & loci Solving equations Quadratics
Angles Sequences Plotting graphs Area and perimeter
Constructing, measuring and using geometric notation 1 & 2 Developing geometric reasoning 1 & 2 
Linear graphs
Volume & Surface Area Transformations Probability Inequalities Simultaneous Equations Vectors
Circles Probability Transformations Collecting & Representing Data 3D Shapes Volume & Surface Area Money
Developing number sense 1 & 2 Sets and probability 1 & 2 Prime numbers and proof 1 & 2 

Knowledge/ Skills to be developed and enhanced  Developing students:
Will be able to estimate the size of everyday objects, know suitable units to use to estimate or measure length, mass and capacity, work out time intervals. Know the definitions of expressions, equations, formulae., functions, inequalities and terms. Form simple algebraic expressions and formulae. Complete a tally chart, construct and complete grouped frequency tables, interpret twoway tables. find averages from a list.
Secure students: Will be able to plan journeys using timetables, convert between metric units of measure, convert between imperial units of measure, calculate with speed, distance and time, construct and interpret distancetime graphs, construct and interpret simple velocitytime graphs, calculate with mass, density and volume, calculate with pressure, force and area, calculate with exchange rates. Form an expression to show the area and perimeter of simple shapes. Use arithmetic operations with algebra. Collect like terms. Multiply a single term over a bracket and factorise a linear expression. use function machines. expand and simplify over two linear brackets. can expand a double bracket. factorise a quadratic expression where the coefficient of x2 is 1. Find a missing piece of data given the mean, construct and complete frequency trees, compare the mean, median, mode and range as appropriate of two distributions, understand which measure of average is most appropriate and consider outliers. Find averages from a bar chart and stem and leaf diagrams, find averages from frequency tables.
Excelling students: Will be able to understand that area under a velocitytime graph is acceleration, understand that area under a speedtime graph is distance covered, can convert between compound and area units, can convert between units of measure including compound units from algebraic contexts. factorise an expression using the difference of two squares. form quadratic expressions. form an expression to show the area and perimeter of complex shapes. rearrange formulae including fractions and powers to make a different variable the subject. expand more than two brackets. n factorise a quadratic expression where the coefficient of x2 is greater than 1. simplify and manipulate algebraic expressions including algebraic fractions. Complete and interpret a table for time series data, understand and use sampling methods including understanding their limitations, complete a cumulative frequency table, find quartiles and interquartile range, estimate averages from a histogram, understand the capturerecapture method. 
Developing students:
Will be able to round to decimal places and significant figures. Construct, interpret and compare bar charts, vertical line graphs Pictograms. Convert between fractions, decimals and percentages find percentages of amounts without a calculator find percentages of amounts with a calculator. Use fraction notation to describe parts of shapes convert between fractions, decimals and percentages simplify and find equivalent fractions. Order negative integers, use negative numbers in context and calculate with negative numbers.
Secure students: Will be able to estimate an answer before calculating and truncate a number to a given degree of accuracy. Construct, interpret and compare frequency polygons, pie charts, stem and leaf diagrams and scatter graphs. Increase/decrease an amount by a percentage, write one number as a percentage of another, calculate the percentage change e.g. profit/loss. Find a fraction of an amount, calculate with decimals, recognise common recurring decimals as fractions, multiply and divide numbers by powers of ten, order fractions and decimals and calculate with fractions and mixed numbers. Give the square root of a number, identify factors and multiples, identify the HCF and LCM, square, cube and triangle numbers.
Excelling students: Will be able to use inequality notation to specify simple error intervals for rounding and truncation. Interpolate and extrapolate apparent trends and understand the dangers of doing so. Find the equation of a line of best fit and interpret in context. Construct, interpret and compare cumulative frequency diagrams, histograms and box plots. Use multipliers to find a percentage of an amount and to increase and decrease by a percentage, find the original amount after a percentage change, use percentages to find the simple interest over a number of years find the compound interest over a number of years. Find reciprocals understand the effect of multiplying and dividing by a number between 0 and 1, write one number as a fraction of another, simplify and manipulate algebraic expressions including algebraic fractions, convert between recurring decimals and fractions. Tests of divisibility, do prime factor decomposition including using product notation, use prime factor decomposition to find the HCF or LCM. 
Developing students:
Will be able to substitute into an expression and use function machines. Find terms in sequences generate sequences given term to term or an nth term. Write and simplify ratios (including different units), calculate equivalent ratios. Identify types of angles and use standard conventions for labelling sides and angles of triangles, find missing angles on a straight line and around a point, identify vertically opposite angles, derive and use the sum of angles in a triangle.
Secure students: Will be able to substitute positive and negative numbers into expressions and formulae, including scientific expressions substitute into functions. Recognise and use triangular, square, cube and simple arithmetic progressions. Calculate the nth term of a linear sequence. Write a ratio as a fraction, express a relationship between two quantities as a ratio or fraction, share and amount in a ratio, solve ratio problems given in contexts (eg conversion, scaling, mixing and concentrations), understand proportion as equality of a ratio, draw using scales, calculate best buys and value for money, convert between different currencies. Find missing angles in parallel lines, find interior and exterior angles in quadrilaterals and other polygons, find out how many sides a polygon has given interior angles, find and use bearings.
Excelling students: Will be able to use prime factor decomposition to decide whether a number is square etc. Interpret the reverse process as the inverse function, interpret the succession of two functions as the composite function and find composite and inverse functions. Recognise and use Fibonacci, quadratic and simple geometric progressions (r^{n} where n is an integer and r is a rational number >0). Find the nth term of a quadratic sequence. Relate ratios to linear functions, use unitary ratios to compare amounts solve ratio problems given one of the shares and NOT the total, interpret equations which describe direct and inverse proportion, recognise and interpret graphs that illustrate direct and inverse proportion, compare lengths, areas and volumes using ratio notation and scale factors. Construct and use equations which describe direct and inverse proportion and find unknown sides using the relationship between length, area and volume scale factors in similar shapes. Use circle theorems, prove circle theorems and form geometric proofs. 
Developing students:
Will be able to name and identify properties of 2D & 3D shapes, recognise parallel and perpendicular lines, identify and construct nets. Use a calculator efficiently. Calculate basic square and cube numbers, estimate the value of a square root, multiply and divide by powers of 10. Identify congruent shapes by comparing sides and angles, identify similar shapes.
Secure students: Will be able to find the area and perimeter of 2D shapes including compound shapes by counting squares or using formulae, identify and apply circle vocabulary including: centre, radius, chord, diameter, circumference. Calculate missing side lengths given areas and perimeters, including circles, identify and apply circle vocabulary including: tangent, arc, sector and segment, find the area and circumference of a circle. Insert brackets & operations into a calculation to make it true, use one calculation to find the answer to another. Recognise and use index notation evaluate simple indices (e.g. 2^{4}, 3^{3}), understand that anything raised to the power of 0 is equal to 1, evaluate and calculate with numbers written in standard form, calculate with roots and with integer indices, use index laws to evaluate algebraic and numerical expressions (multiplication, division and brackets). Find the scale factor for similar shapes, find unknown sides and angles using similarity.
Excelling students: Will be able to find the area and perimeter of sectors, including arc length, find the area of compound shapes including sectors, construct and interpret plans & elevations, calculate exactly with multiples of π, find the area and perimeter of segments, find the area of compound shapes including segments. Understand the difference between subtracting a squared number and squaring a negative number. Evaluate negative indices, rationalise denominators, simplify surds, simplify and manipulate expressions including surds (including algebraic expressions), evaluate fractional indices, recognise geometric progressions (r^{n} where n is an integer and r is a surd), calculate exactly with surds. Compare lengths, areas and volumes using ratio notation and scale factors including trigonometric ratios, obtain simple proofs by applying angle facts, triangle congruence, similarity and properties of quadrilaterals (prove two triangles are congruent or similar), prove two triangles are congruent. 
Developing students:
Will be able to use Pythagoras’ theorem to find unknown sides of a triangle. Use trigonometric ratios to find any side or angle in a right angled triangle. use a ruler and a compass to construct: angles, use correct notation for labelling lines, angles and triangles. solve one step equations, solve one step equations including negatives. Expand two brackets.
Secure students: Will be able to find the area of an isosceles triangle using Pythagoras’ Theorem. Use Pythagoras’ Theorem to find the distance between two points. Sketch trigonometric graphs and know the exact values, calculate trigonometric ratios in surd form. Know that the perpendicular distance from a point to a line is the shortest distance to the line, use a ruler and a compass to construct the midpoint and perpendicular bisector of a line segment, use a ruler and a compass to construct the bisector of an angle, use a ruler and a compass to construct the perpendicular from a point to a line, use a ruler and a compass to construct the perpendicular from a point on a line. solve two step equations, solve two step equations including negatives and brackets, solve equations with unknowns on both sides and brackets. Plot quadratic graphs, factorise a quadratic expression and solve when the coefficient of is , solve quadratic equations by factorisation, use quadratic graphs to estimate the solution to an equation.
Excelling students: Will be able to use Pythagoras’ Theorem in 3D shapes. Recognise, sketch and interpret trigonometric functions for angles of any size, find angle solutions using trigonometric graphs between 0≤θ≤360° (in degrees only), solve trigonometric equations with solutions between 0≤θ≤360°. Find the missing angle between a line and a plane, use sine rule to find missing sides & angles, use cosine rule to find missing sides & angles, use the area of a triangle using . Solve loci problems construct SAS, ASA and SSS triangles, including equilateral triangles from a sketch or written description. solve equations involving fractions, form and solve equations, interpreting the solution, find approximate solutions to equations numerically using iteration. Identify roots, intercepts and turning points of quadratic functions graphically, factorise a quadratic expression and solve, when the coefficient of is greater than 1, solve quadratic equations by completing the square and using the formula, including those that require rearrangement and those where coefficient of is greater than , identify turning points by completing the square. 
Developing students:
Will be able to plot and read coordinates in all 4 quadrants, find the coordinates of points identified by geometrical information in 2D. Find the volume by counting cubes, find the volume and surface area of cubes, cuboids & prisms. Describe & complete a translation using 2D vectors, describe & complete a rotation. Place events on a probability scale, use words to describe probability, calculate simple probabilities. Use inequality symbols, represent and evaluate inequalities on a number line. Solve a pair of linear simultaneous equations. Calculate with vectors including addition and subtraction and multiplication by a scalar.
Secure students: Will be able to find midpoints and end points, plot a graph of a linear functions, identify the gradient and y intercept from graphs and equations e.g. , recognise, sketch and interpret linear graphs. Find the volume of cylinders, link volume to capacity, find the surface area of cylinders, find the surface area of simple compound 3D shapes, find the volume and surface area of pyramids including cones. Describe & complete a reflection, describe & complete a positive integer enlargement. Find the probability of an event not occurring, list outcomes from events, use a sample space to calculate probabilities, find probabilities from twoway tables, that exhaustive probability sums to one, record, describe and analyse the frequency of probability experiments using tables and frequency trees. Solve linear inequalities including unknowns on both sides, brackets, fractions and where it is necessary to multiply or divide by a negative number, draw and shade inequalities on a graph. Form and solve simultaneous equations. Use diagrammatic and column representations of vectors.
Excelling students: Will be able to identify parallel lines by comparing gradients, find the equation of a straight line given the gradient and a point, find the equation of a straight line given two points, identify perpendicular lines by comparing gradients, calculate and estimate gradients of graphs and areas under graphs and interpret results. Find the volume and surface area of spheres, find missing lengths of a prism given the volume, find the volume and surface area of more complex 3D shapes. Know that translations, rotations and reflections preserve length and angle, mapping objects to congruent images, know that enlargements preserve angle but not length and produce similar, can describe & complete fractional enlargements. Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future events, relate relative expected frequencies to theoretical probability, enumerate sets and combinations of sets systematically using tables, grids & Venn diagrams complete and use a Venn diagram, construct and interpret a tree diagram with replacement, use the ‘and’ & ‘or’ rule to calculate probabilities. Solve inequalities in two variables, solve quadratic inequalities in one variable, solve inequalities using set notation, use inequalities and regions to solve real life problems. Graphically solve simultaneous equations, solve simultaneous equations where one equation is quadratic or the equation of a circle. Prove two vectors are parallel or perpendicular, use vectors to construct geometric arguments and proofs. 

CEIAG links / Gatsby benchmarks  Santander – Loans  Market research – data analysis  Symmetry in Religious art.  Catering – Recipes  Bricklaying. Gardening – laying turf.  Athletics – Speed/Distance/Time  
Tier 2 vocabulary to be taught:  Tier 2 vocabulary – Term 1
Median Factor Volume Estimate Profit Pictograms Loss Fractions Multiple Simplify 
Tier 2 vocabulary – Term 2
Ratio Simplify Substitute Interior Angles Sequence Area Perimeter Parallel Powers Square Root 
Tier 2 vocabulary – Term 3
Midpoint Solve Product Gradient Surface Area Reflection Rotate Outcome Simultaneous Scale Factor 

Vocabulary
— = part of departmental termly list and Frayer model display 
Tier 3 vocabulary:
Frequency Expand Velocity Significant Figure Stem and Leaf Factorise Inequalities Equivalent Square Root Quadratic Expression 
Tier 3 vocabulary:
Truncate Depreciation Reciprocals Error Interval Upper Bound Correlation Multiplier Recurring Integer Compound Interest 
Tier 3 vocabulary:
Proportion Equivalent Unitary Ratio Function Machine Integer Alternate Angles Polygons Bearings Linear Sequence Nth Term 
Tier 3 vocabulary:
Compound Shape Trapezium Quadrilateral Diameter Inverse Standard Form Index Notation Cube Numbers Congruent Scale Factor 
Tier 3 vocabulary:
Hypotenuse Adjacent Perpendicular Line Segment Inequality Variable Factorise Roots Quadratic Equation Quadratic Graph 
Tier 3 vocabulary:
Linear Equation Linear Graph Volume Capacity Congruent Vector Translate Venn Diagram Column Vectors Transformation 

Rationale:  This scheme allows pupils to become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
These units are taught now because it has number at their heart and as a result has a large proportion of time spent reinforcing number to build competency. 
These units develop the students’ conceptual understanding and the ability to recall and apply knowledge rapidly and accurately, reason mathematically by following a line of enquiry.
These units are taught now because it develops on from number and gives the pupils opportunities to build competency in solving problems by applying their mathematics to a variety of problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 
This scheme concludes KS3 by conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
These units are taught now so that students can transfer number and problem solving skills and will learn how to use mathematics in unfamiliar circumstances including problem solving and reasoning to ensure mastery and fluency across the curriculum. 

How Learning will take place / pedagogy
Students will have the opportunity to demonstrate aspects of the learning model through identifying the strategies needed to solve mathematical problems, working with others to solve more complex problems and being able to discuss and justify techniques and methods used. They will be encouraged to review progress as they work, check and evaluate solutions and modify their approach if necessary. Students will be given opportunities to evaluate their strengths and limitations and to set realistic targets. Students will develop their ability to visualise and illustrate a maths problem and make connections between representations. In the course of learning mathematics and solving mathematical problems students will develop resilience and optimism. Staff seek to inspire and motivate their students and the subject is presented in a wide variety of ways including those using technology such as computers and interactive whiteboards. Students will also use a scientific calculator to perform calculations involving powers, roots and Pi. Learning will take place through wellstructured, differentiated lessons delivered at an appropriate pace using challenge and assessment for learning. Engaging starters to provide social, cultural and educational opportunities for learning. Lessons are scaffolded to promote challenge and differentiation by outcome, as neither the English Language or English Literature terminal exams are tiered. All our Schemes of Learning provide modelling of reading and writing examples to develop appropriate examrelated skills. 
How Learning will be assessed
Students will be given a Baseline assessment when they first join the school which will determine their approximate working at grade. They will then be given a levelled assessment each half term. 
Literacy and Numeracy Statement of Intent
Links to Literacy will include the spelling and definitions of new words associated with mathematics. Students’ work will be checked for spelling, punctuation and grammar. Awareness of terminology in functional skills exam questions. Students will be given an understanding of how things work in real life eg. understanding ten pin bowling scores, in preparation for functional skills exams. Following Whole School Literacy Policy as displayed in all classrooms and:

SMSC Statement
Social – Development of problem solving skills and reasoning skills and team work. Being able to justify methods and ideas. Communicating with others and explaining concepts to each other. Making sense of the data available in the modern world around them. Moral – Use and interpretation of data that is becoming more prevalent in society. Maths in real life contexts such as finance and implications Cultural – Islamic geometric patterns and discussing mathematics in cultural symbols and patterns (Rangoli patterns, symmetry, tessellations and Islamic geometric patterns). exchange rates for foreign travel, links to mathematicians such as Fibonacci and discussion on ratio and proportion in the real world e.g. Golden ratio. Encouragement of various approaches to mathematics influenced by different cultures, discussions on the cultural and historical roots of maths Spiritual – sense of wonder in the exactness of maths as well as a sense of personal achievement in solving problems. 
Evaluation at end of academic year
Progress data in the inside cover of exercise books as well as SIMS Tracking System and regular subject data analysis. 
Key Stage 4
Key Stage 4 will follow the Edexcel GCSE Mathematics specification. They will take three exam papers; paper 1 is noncalculator and papers 2 and 3 are both calculator. All three papers will contain a mix of question styles from any part of the subject content (number, algebra, ratio, proportion and rates of change, geometry and measures, probability and statistics). They will work towards gaining grades 19 where 1 is the lowest and 9 is the highest.
Where appropriate some students will sit the Edexcel Entry Level Certificate and/or Edexcel Functional Maths. Students’ progress will be assessed at 6 points during the academic year. Those students needing extra support in maths will be withdrawn for individual intervention sessions. KS4 students will have 5 x 45 minute lessons per week.
Larches High School: Curriculum Planning 202324
Subject: Maths Year Group: Y10
Autumn Term 1  Autumn Term 2  Spring Term 1  Spring Term 2  Summer Term 1  Summer Term 2  
Topics to be covered:  Algebraic Manipulation
Estimation Collecting Data and Averages Measures 
Numbers
Fractions, Decimals and Percentages Representing data Percentages Substitution 
Angles
Ratio and Proportion Sequences Solving equations 
Trigonometry
Pythagoras Indices 
Probability
Quadratics Calculations and BIDMAS Area and perimeter Similarity & congruency 
Linear graphs
Transformations Inequalities Simultaneous Equations Constructions & Loci Volume & Surface Area Vectors 

Knowledge/ Skills to be developed and enhanced  Developing students:
Will be able to know the definitions of expressions, equations, formulae., functions, inequalities and terms. Form simple algebraic expressions and formulae. Round to decimal places and significant figures. Complete a tally chart, construct and complete grouped frequency tables, interpret twoway tables. find averages from a list. Estimate the size of everyday objects, know suitable units to use to estimate or measure length, mass and capacity,work out time intervals.
Secure students:
Will be able to form an expression to show the area and perimeter of simple shapes. Use arithmetic operations with algebra. Collect like terms. Multiply a single term over a bracket and factorise a linear expression. use function machines. expand and simplify over two linear brackets. can expand a double bracket. factorise a quadratic expression where the coefficient of x2 is 1. Estimate an answer before calculating and truncate a number to a given degree of accuracy. Find a missing piece of data given the mean, construct and complete frequency trees, compare the mean, median, mode and range as appropriate of two distributions, understand which measure of average is most appropriate and consider outliers. Find averages from a bar chart and stem and leaf diagrams, find averages from frequency tables. plan journeys using timetables, convert between metric units of measure, convert between imperial units of measure, calculate with speed, distance and time, construct and interpret distancetime graphs, construct and interpret simple velocitytime graphs, calculate with mass, density and volume, calculate with pressure, force and area, calculate with exchange rates.
Excelling students:
Will be able to factorise an expression using the difference of two squares. form quadratic expressions. form an expression to show the area and perimeter of complex shapes. rearrange formulae including fractions and powers to make a different variable the subject. expand more than two brackets. n factorise a quadratic expression where the coefficient of x2 is greater than 1. simplify and manipulate algebraic expressions including algebraic fractions. use inequality notation to specify simple error intervals for rounding and truncation. Interpolate and extrapolate apparent trends and understand the dangers of doing so. Complete and interpret a table for time series data, understand and use sampling methods including understanding their limitations, complete a cumulative frequency table, find quartiles and interquartile range, estimate averages from a histogram, understand the capturerecapture method. understand that area under a velocitytime graph is acceleration, understand that area under a speedtime graph is distance covered, can convert between compound and area units, can convert between units of measure including compound units from algebraic contexts. 
Developing students:
Will be able to Order negative integers, use negative numbers in context and calculate with negative numbers. Convert between fractions, decimals and percentages find percentages of amounts without a calculator, find percentages of amounts with a calculator. Use fraction notation to describe parts of shapes, convert between fractions, decimals and percentages, simplify and find equivalent fractions. Construct, interpret and compare bar charts, vertical line graphs and pictograms. find percentages of amounts without a calculator find percentages of amounts with a calculator. Will be able to substitute into an expression and use function machines.
Secure students:
Will be able to find a fraction of an amount, calculate with decimals, recognise common recurring decimals as fractions, multiply and divide numbers by powers of ten, order fractions and decimals and calculate with fractions and mixed numbers. Give the square root of a number, identify factors and multiples, identify the HCF and LCM, square, cube and triangle numbers. Construct, interpret and compare frequency polygons, pie charts, stem and leaf diagrams and scatter graphs. Increase/decrease an amount by a percentage, write one number as a percentage of another, calculate the percentage change e.g. profit/loss. Substitute positive and negative numbers into expressions and formulae, including scientific expressions substitute into functions.
Excelling students: . Will be able to do tests of divisibility, do prime factor decomposition including using product notation, use prime factor decomposition to find the HCF or LCM. Use multipliers to find a percentage of an amount and to increase and decrease by a percentage, find the original amount after a percentage change, use percentages to find the simple interest over a number of years. find the compound interest over a number of years. Find reciprocals understand the effect of multiplying and dividing by a number between 0 and 1, write one number as a fraction of another, simplify and manipulate algebraic expressions including algebraic fractions, convert between recurring decimals and fractions. Find the equation of a line of best fit and interpret in context. Construct, interpret and compare cumulative frequency diagrams, histograms and box plots. use prime factor decomposition to decide whether a number is square etc. Interpret the reverse process as the inverse function, interpret the succession of two functions as the composite function and find composite and inverse functions. 
Developing students:
Will be able to Identify types of angles and use standard conventions for labelling sides and angles of triangles, find missing angles on a straight line and around a point, identify vertically opposite angles, derive and use the sum of angles in a triangle. Write and simplify ratios (including different units), calculate equivalent ratios. Find terms in sequences generate sequences given term to term or an nth term. solve one step equations, solve one step equations including negatives. Expand two brackets.
Secure students:
Will be able to find missing angles in parallel lines, find interior and exterior angles in quadrilaterals and other polygons, find out how many sides a polygon has given interior angles, find and use bearings. Write a ratio as a fraction, express a relationship between two quantities as a ratio or fraction, share and amount in a ratio, solve ratio problems given in contexts (eg conversion, scaling, mixing and concentrations), understand proportion as equality of a ratio, draw using scales, calculate best buys and value for money, convert between different currencies. Recognise and use triangular, square, cube and simple arithmetic progressions. Calculate the nth term of a linear sequence. Solve two step equations, solve two step equations including negatives and brackets, solve equations with unknowns on both sides and brackets.
Excelling students:
Will be able to use circle theorems, prove circle theorems and form geometric proofs. Relate ratios to linear functions, use unitary ratios to compare amounts solve ratio problems given one of the shares and NOT the total, interpret equations which describe direct and inverse proportion, recognise and interpret graphs that illustrate direct and inverse proportion, compare lengths, areas and volumes using ratio notation and scale factors. Recognise and use Fibonacci, quadratic and simple geometric progressions (r^{n} where n is an integer and r is a rational number >0). Find the nth term of a quadratic sequence. solve equations involving fractions, form and solve equations, interpreting the solution, find approximate solutions to equations numerically using iteration. 
Developing students:
Will be able to use trigonometric ratios to find any side or angle in a right angled triangle. Use Pythagoras’ theorem to find unknown sides of a triangle. Calculate basic square and cube numbers, estimate the value of a square root, multiply and divide by powers of 10.
Secure students:
Will be able to find the area of an isosceles triangle using Pythagoras’ Theorem. Use Pythagoras’ Theorem to find the distance between two points. Sketch trigonometric graphs and know the exact values, Calculate trigonometric ratios in surd form. Insert brackets & operations into a calculation to make it true, use one calculation to find the answer to another. Recognise and use index notation evaluate simple indices (e.g. 2^{4}, 3^{3}), understand that anything raised to the power of 0 is equal to 1, evaluate and calculate with numbers written in standard form, calculate with roots and with integer indices, use index laws to evaluate algebraic and numerical expressions (multiplication, division and brackets).
Excelling students: Will be able to Recognise, sketch and interpret trigonometric functions for angles of any size, find angle solutions using trigonometric graphs between 0≤θ≤360° (in degrees only), solve trigonometric equations with solutions between 0≤θ≤360°. Find the missing angle between a line and a plane, use sine rule to find missing sides & angles, use cosine rule to find missing sides & angles, use the area of a triangle using . Use Pythagoras’ Theorem in 3D shapes. Understand the difference between subtracting a squared number and squaring a negative number. Evaluate negative indices, rationalise denominators, simplify surds, simplify and manipulate expressions including surds (including algebraic expressions), evaluate fractional indices, recognise geometric progressions (r^{n} where n is an integer and r is a surd), calculate exactly with surds. 
Developing students:
Will be able to place events on a probability scale, use words to describe probability, calculate simple probabilities. Use inequality symbols. Expand two brackets. Use a calculator efficiently. Name and identify properties of 2D & 3D shapes, recognise parallel and perpendicular lines, identify and construct nets. Identify congruent shapes by comparing sides and angles, identify similar shapes.
Secure students:
Will be able to find the probability of an event not occurring, list outcomes from events, use a sample space to calculate probabilities, find probabilities from twoway tables, that exhaustive probability sums to one, record, describe and analyse the frequency of probability experiments using tables and frequency trees. Plot quadratic graphs, factorise a quadratic expression and solve when the coefficient of is , solve quadratic equations by factorisation, use quadratic graphs to estimate the solution to an equation. Insert brackets & operations into a calculation to make it true, use one calculation to find the answer to another. Find the area and perimeter of 2D shapes including compound shapes by counting squares or using formulae, identify and apply circle vocabulary including: centre, radius, chord, diameter, circumference. Calculate missing side lengths given areas and perimeters, including circles, identify and apply circle vocabulary including: tangent, arc, sector and segment, find the area and circumference of a circle. Find the scale factor for similar shapes, find unknown sides and angles using similarity.
Excelling students:
Will be able to apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future events, relate relative expected frequencies to theoretical probability, enumerate sets and combinations of sets systematically using tables, grids & Venn diagrams complete and use a Venn diagram, construct and interpret a tree diagram with replacement, use the ‘and’ & ‘or’ rule to calculate probabilities. Identify roots, intercepts and turning points of quadratic functions graphically, factorise a quadratic expression and solve, when the coefficient of is greater than 1, solve quadratic equations by completing the square and using the formula, including those that require rearrangement and those where coefficient of is greater than , identify turning points by completing the square. Understand the difference between subtracting a squared number and squaring a negative number. find the area and perimeter of sectors, including arc length, find the area of compound shapes including sectors, construct and interpret plans & elevations, calculate exactly with multiples of π, find the area and perimeter of segments, find the area of compound shapes including segments. Compare lengths, areas and volumes using ratio notation and scale factors including trigonometric ratios, obtain simple proofs by applying angle facts, triangle congruence, similarity and properties of quadrilaterals (prove two triangles are congruent or similar), prove two triangles are congruent. 
Developing students:
Will be able to plot and read coordinates in all 4 quadrants, find the coordinates of points identified by geometrical information in 2D. Describe & complete a translation using 2D vectors, describe & complete a rotation. Use inequality symbols, represent and evaluate inequalities on a number line. Solve a pair of linear simultaneous equations. Use a ruler and a compass to construct: angles, use correct notation for labelling lines, angles and triangles. Find the volume by counting cubes, find the volume and surface area of cubes, cuboids & prisms. Calculate with vectors including addition and subtraction and multiplication by a scalar. .
Secure students:
Will be able to find midpoints and end points, plot a graph of a linear functions, identify the gradient and y intercept from graphs and equations e.g. , recognise, sketch and interpret linear graphs. Describe & complete a reflection, describe & complete a positive integer enlargement. Draw and shade inequalities on a graph. Form and solve simultaneous equations. Know that the perpendicular distance from a point to a line is the shortest distance to the line, use a ruler and a compass to construct the midpoint and perpendicular bisector of a line segment, use a ruler and a compass to construct the bisector of an angle, use a ruler and a compass to construct the perpendicular from a point to a line, use a ruler and a compass to construct the perpendicular from a point on a line. Find the volume of cylinders, link volume to capacity, find the surface area of cylinders, find the surface area of simple compound 3D shapes, find the volume and surface area of pyramids including cones. Use diagrammatic and column representations of vectors.
Excelling students:
Will be able to identify parallel lines by comparing gradients, find the equation of a straight line given the gradient and a point, find the equation of a straight line given two points, identify perpendicular lines by comparing gradients, calculate and estimate gradients of graphs and areas under graphs and interpret results. Know that translations, rotations and reflections preserve length and angle, mapping objects to congruent images, know that enlargements preserve angle but not length and produce similar, can describe & complete fractional enlargements. Solve inequalities in two variables, solve quadratic inequalities in one variable, solve inequalities using set notation, use inequalities and regions to solve real life problems. Graphically solve simultaneous equations, solve simultaneous equations where one equation is quadratic or the equation of a circle. Solve loci problems construct SAS, ASA and SSS triangles, including equilateral triangles from a sketch or written description. Find the volume and surface area of spheres, find missing lengths of a prism given the volume, find the volume and surface area of more complex 3D shapes. Prove two vectors are parallel or perpendicular, use vectors to construct geometric arguments and proofs. 

CEIAG links / Gatsby benchmarks  Santander – Loans  Market research – data analysis  Symmetry in Religious art.  Catering – Recipes  Bricklaying. Gardening – laying turf.  Athletics – Speed/Distance/Time  
Tier 2 vocabulary to be taught:  Tier 2 vocabulary – Term 1
Mean Square Numbers Mass Estimate Simple Interest Tally Chart Percentage Improper Fractions Multiple Formulae 
Tier 2 vocabulary – Term 2
Sequence Ratio Proportion Equivalent Simplify Interior Angles Parallel Lines Square Root Quadrilateral Polygon 
Tier 2 vocabulary – Term 3
Area Perimeter Radius Powers Operations Expand Probability Reflection Surface Area Volume 

Vocabulary
— = part of departmental termly list and Frayer model display 
Tier 3 vocabulary:
Frequency Factorise Velocity Significant Figure Stem and Leaf Factorise Inequalities Equivalent Square Root Quadratic Expression 
Tier 3 vocabulary:
Truncate Depreciation Reciprocals Error Interval Upper Bound Correlation Multiplier Recurring Integer Compound Interest 
Tier 3 vocabulary:
Nth Term Linear Sequence Fibonacci Sequence Unitary Ratios Direct Proportion Inverse Proportion Corresponding Angles Alternate Angles Opposite Angles Unknown Variables 
Tier 3 vocabulary:
Hypotenuse Adjacent Isosceles Triangle Trigonometry Pythagoras Theorem Index Notation Standard Form Indices Negative Indices Fractional Indices 
Tier 3 vocabulary:
Compound shapes Trapezium Diameter Chord Inverse Congruent Quadratic Graphs Intercept Venn Diagram Tree Diagram 
Tier 3 vocabulary:
Linear Graph Gradient Vector Translate Inequalities Coefficient Unknown Variables Construct Perpendicular Capacity 

Rationale:  This scheme allows pupils to become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
These units are taught now because it has number at their heart and as a result has a large proportion of time spent reinforcing number to build competency. 
These units develop the students’ conceptual understanding and the ability to recall and apply knowledge rapidly and accurately, reason mathematically by following a line of enquiry.
These units are taught now because it develops on from number and gives the pupils opportunities to build competency in solving problems by applying their mathematics to a variety of problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

This scheme concludes KS4 by conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
These units are taught now so that students can transfer number and problem solving skills and will learn how to use mathematics in unfamiliar circumstances including problem solving and reasoning to ensure mastery and fluency across the curriculum. 

Subject: Maths Year Group: Y11
Autumn Term 1  Autumn Term 2  Spring Term 1  Spring Term 2  Summer
Term 1 
Summer
Term 2 

Topics to be covered:  Decimals/Rounding
Directed numbers/FDP Charts & Graphs Algebra Expanding & Factorising Solving Equations 
Representing data and averages
Probability Ratio/HCF/LCM Inequalities & Bounds Rearranging Formulae Simultaneous equations Area and perimeter Pythagoras Theorem 
Circles
Indices and St. Form Volume/SA/Plans/ Nets Conversion rates/graphs Plotting lines and curves 
Compound measures
Calculator Skills Constructions/ Transformations & Vectors Angles Sequences Trigonometry 
Revision of previous topics.
Exam techniques. Targeted assistance sessions. Analysis of Mock papers and previous assessments. 
Revision of previous topics.
Exam techniques. Targeted assistance sessions. Analysis of Mock papers and previous assessments. 

Knowledge/ Skills to be developed and enhanced 
Developing students:
Students will be able to round to decimal places and significant figures. Order negative integers, use negative numbers in context and calculate with negative numbers. Convert between fractions, decimals and percentages. Complete a tally chart, construct and complete grouped frequency tables, interpret twoway tables. find averages from a list. Construct, interpret and compare bar charts, vertical line graphs and pictograms. Know the definitions of expressions, equations, formulae., functions, inequalities and terms. Form simple algebraic expressions and formulae. solve one step equations, solve one step equations including negatives. Expand two brackets.
Secure students:
Students will be able to Estimate an answer before calculating and truncate a number to a given degree of accuracy. find a fraction of an amount, calculate with decimals, recognise common recurring decimals as fractions, multiply and divide numbers by powers of ten, order fractions and decimals and calculate with fractions and mixed numbers. Give the square root of a number, identify factors and multiples, identify the HCF and LCM, square, cube and triangle numbers. Construct, interpret and compare frequency polygons, pie charts, stem and leaf diagrams and scatter graphs. form an expression to show the area and perimeter of simple shapes. Use arithmetic operations with algebra. Collect like terms. Multiply a single term over a bracket and factorise a linear expression. use function machines. expand and simplify over two linear brackets. can expand a double bracket. factorise a quadratic expression where the coefficient of x2 is 1. Solve two step equations, solve two step equations including negatives and brackets, solve equations with unknowns on both sides and brackets.
Excelling students:
Students will be able to use inequality notation to specify simple error intervals for rounding and truncation. Use multipliers to find a percentage of an amount and to increase and decrease by a percentage, find the original amount after a percentage change, use percentages to find the simple interest over a number of years. find the compound interest over a number of years. Find reciprocals understand the effect of multiplying and dividing by a number between 0 and 1, write one number as a fraction of another, simplify and manipulate algebraic expressions including algebraic fractions, convert between recurring decimals and fractions. Find the equation of a line of best fit and interpret in context. Construct, interpret and compare cumulative frequency diagrams, histograms and box plots. factorise an expression using the difference of two squares. form quadratic expressions. form an expression to show the area and perimeter of complex shapes. rearrange formulae including fractions and powers to make a different variable the subject. expand more than two brackets. n factorise a quadratic expression where the coefficient of x2 is greater than 1. simplify and manipulate algebraic expressions including algebraic fractions. solve equations involving fractions, form and solve equations, interpreting the solution, find approximate solutions to equations numerically using iteration. 
Developing students: . Students will be able to construct, interpret and compare bar charts, vertical line graphs and pictograms. Complete a tally chart, construct and complete grouped frequency tables, interpret twoway tables. find averages from a list. Place events on a probability scale, use words to describe probability, calculate simple probabilities. Use inequality symbols. Write and simplify ratios (including different units), calculate equivalent ratios. Use inequality symbols, represent and evaluate inequalities on a number line. Rearrange simple formulae involving 1 or 2 steps. Solve a pair of linear simultaneous equations. Calculate the area and perimeter of simple shapes Eg, square, rectangles, triangles and parallelograms. Use Pythagoras’ theorem to find unknown sides of a triangle.
Secure students:
Students will be able to Construct, interpret and compare frequency polygons, pie charts, stem and leaf diagrams and scatter graphs. Find a missing piece of data given the mean, construct and complete frequency trees, compare the mean, median, mode and range as appropriate of two distributions, understand which measure of average is most appropriate and consider outliers. Find averages from a bar chart and stem and leaf diagrams, find averages from frequency tables. Find the probability of an event not occurring, list outcomes from events, use a sample space to calculate probabilities, find probabilities from twoway tables, that exhaustive probability sums to one, record, describe and analyse the frequency of probability experiments using tables and frequency trees. Write a ratio as a fraction, express a relationship between two quantities as a ratio or fraction, share and amount in a ratio, solve ratio problems given in contexts (eg conversion, scaling, mixing and concentrations), understand proportion as equality of a ratio, draw using scales, calculate best buys and value for money, convert between different currencies. Estimate an answer before calculating and truncate a number to a given degree of accuracy. Draw and shade inequalities on a graph. simplify and manipulate algebraic expressions including algebraic fractions. Form and solve simultaneous equations. Calculate missing side lengths given areas and perimeters, including circles, identify and apply circle vocabulary including: tangent, arc, sector and segment, find the area and circumference of a circle. find the area of an isosceles triangle using Pythagoras’ Theorem. Use Pythagoras’ Theorem to find the distance between two points.
Excelling students:
Students will be able to construct, interpret and compare cumulative frequency diagrams, histograms and box plots. complete a cumulative frequency table, find quartiles and interquartile range, estimate averages from a histogram, understand the capturerecapture method. apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future events, relate relative expected frequencies to theoretical probability, enumerate sets and combinations of sets systematically using tables, grids & Venn diagrams complete and use a Venn diagram, construct and interpret a tree diagram with replacement, use the ‘and’ & ‘or’ rule to calculate probabilities. Relate ratios to linear functions, use unitary ratios to compare amounts solve ratio problems given one of the shares and NOT the total, interpret equations which describe direct and inverse proportion, recognise and interpret graphs that illustrate direct and inverse proportion, compare lengths, areas and volumes using ratio notation and scale factors. solve quadratic inequalities in one variable, solve inequalities using set notation, use inequalities and regions to solve real life problems. Graphically solve simultaneous equations, solve simultaneous equations where one equation is quadratic or the equation of a circle. find the area and perimeter of sectors, including arc length, find the area of compound shapes including sectors, construct and interpret plans & elevations, calculate exactly with multiples of π, find the area and perimeter of segments, find the area of compound shapes including segments. Use Pythagoras’ Theorem in 3D shapes. 
Developing students:
Students will be able to identify and apply circle vocabulary including: centre, radius, chord, diameter, circumference. Calculate basic square and cube numbers, estimate the value of a square root, multiply and divide by powers of 10. Find the volume by counting cubes, find the volume and surface area of cubes, cuboids & prisms. Estimate the size of everyday objects, know suitable units to use to estimate or measure length, mass and capacity,work out time intervals. Plot and read coordinates in all 4 quadrants, find the coordinates of points identified by geometrical information in 2D.
Secure students:
Students will be able to calculate missing side lengths given areas and perimeters, including circles, identify and apply circle vocabulary including: tangent, arc, sector and segment, find the area and circumference of a circle. Recognise and use index notation evaluate simple indices (e.g. 2^{4}, 3^{3}), understand that anything raised to the power of 0 is equal to 1, evaluate and calculate with numbers written in standard form, calculate with roots and with integer indices, use index laws to evaluate algebraic and numerical expressions (multiplication, division and brackets). Find the volume of cylinders, link volume to capacity, find the surface area of cylinders, find the surface area of simple compound 3D shapes, find the volume and surface area of pyramids including cones. Find midpoints and end points, plot a graph of a linear functions, identify the gradient and y intercept from graphs and equations e.g. , recognise, sketch and interpret linear graphs.
Excelling students:
Students will be able to find the area and perimeter of sectors, including arc length. Evaluate negative indices, rationalise denominators, simplify surds, simplify and manipulate expressions including surds (including algebraic expressions), evaluate fractional indices, recognise geometric progressions (r^{n} where n is an integer and r is a surd), calculate exactly with surds. Find the volume and surface area of spheres, find missing lengths of a prism given the volume, find the volume and surface area of more complex 3D shapes. To identify parallel lines by comparing gradients, find the equation of a straight line given the gradient and a point, find the equation of a straight line given two points, identify perpendicular lines by comparing gradients, calculate and estimate gradients of graphs and areas under graphs and interpret results. 
Developing students:
Students will be able to estimate the size of everyday objects, know suitable units to use to estimate or measure length, mass and capacity, work out time intervals. Use a calculator efficiently. Use a ruler and a compass to construct: angles, use correct notation for labelling lines, angles and triangles. Describe & complete a translation using 2D vectors, describe & complete a rotation. Calculate with vectors including addition and subtraction and multiplication by a scalar. Identify types of angles and use standard conventions for labelling sides and angles of triangles, find missing angles on a straight line and around a point, identify vertically opposite angles, derive and use the sum of angles in a triangle. Find terms in sequences, generate sequences given term to term or an nth term. use trigonometric ratios to find any side or angle in a right angled triangle.
Secure students:
Students will be able to convert between metric units of measure, convert between imperial units of measure, calculate with speed, distance and time, construct and interpret distancetime graphs, construct and interpret simple velocitytime graphs, calculate with mass, density and volume, calculate with pressure, force and area, calculate with exchange rates. Know that the perpendicular distance from a point to a line is the shortest distance to the line, use a ruler and a compass to construct the midpoint and perpendicular bisector of a line segment, use a ruler and a compass to construct the bisector of an angle, use a ruler and a compass to construct the perpendicular from a point to a line, use a ruler and a compass to construct the perpendicular from a point on a line. Describe & complete a reflection, describe & complete a positive integer enlargement. Use diagrammatic and column representations of vectors. find missing angles in parallel lines, find interior and exterior angles in quadrilaterals and other polygons, find out how many sides a polygon has given interior angles, find and use bearings. Recognise and use triangular, square, cube and simple arithmetic progressions. Calculate the nth term of a linear sequence. Sketch trigonometric graphs and know the exact values, Calculate trigonometric ratios in surd form.
Excelling students:
Students will be able to understand that area under a velocitytime graph is acceleration, understand that area under a speedtime graph is distance covered, can convert between compound and area units, can convert between units of measure including compound units from algebraic contexts. Solve loci problems construct SAS, ASA and SSS triangles, including equilateral triangles from a sketch or written description. Know that translations, rotations and reflections preserve length and angle, mapping objects to congruent images, know that enlargements preserve angle but not length and produce similar, can describe & complete fractional enlargements. Prove two vectors are parallel or perpendicular, use vectors to construct geometric arguments and proofs. Use circle theorems, prove circle theorems and form geometric proofs. Recognise and use Fibonacci, quadratic and simple geometric progressions (r^{n} where n is an integer and r is a rational number >0). Find the nth term of a quadratic sequence. Recognise, sketch and interpret trigonometric functions for angles of any size, find angle solutions using trigonometric graphs between 0≤θ≤360° (in degrees only), solve trigonometric equations with solutions between 0≤θ≤360°. Find the missing angle between a line and a plane, use sine rule to find missing sides & angles, use cosine rule to find missing sides & angles, use the area of a triangle using . 

CEIAG links / Gatsby benchmarks  Santander – Loans  Market research – data analysis.
Catering – Recipes
Bricklaying. Gardening – laying turf. 
Athletics – Speed/Distance/Time  Symmetry in Religious art.  
Tier 2 vocabulary to be taught:  Tier 2 vocabulary – Term 1
Mode Directed Numbers Frequency Polygons Inverse Probability Frequency Tables Proportion Mixed Number Hypotenuse Simultaneous Equations 
Tier 2 vocabulary – Term 2
Radius Cube Numbers Volume Translate Conversion Graphs Estimate Gradients Time Intervals Construct Reflection 
Tier 2 vocabulary – Term 3
Solve Expand Simplify Justify Sketch Calculate Measure Show Prove Product 

Vocabulary
— = part of departmental termly list and Frayer model display

Tier 3 vocabulary:
Factorise Significant Figure Recurring Correlation Variables Reciprocals Cumulative Frequency Coefficient Linear Equations Compound Interest 
Tier 3 vocabulary:
Stem and Leaf Venn Diagrams Unitary Ratios Inequality Symbols Inverse Function Truncate Compound Shapes Perpendicular Lines Isosceles Triangle Error Intervals 
Tier 3 vocabulary:
Diameter Tangent Index Notation Standard Form Capacity Front/Side Elevations Density Velocity Nets of 3D shapes Negative indices 
Tier 3 vocabulary:
Index Number Midpoint Vectors Congruent Vertex Arc Length Polygons Linear Sequence Nth Term Adjacent 
Tier 3 vocabulary:
Quadratic Interquartile Integer HCF/LCM Function Machine Inverse Proportion Bearings Chord Scalene Triangle Cosine 
Tier 3 vocabulary:
Segment Sector Scale Factor Trigonometric Ratios Intercepts Cubic Graphs Cylinder Compound Area Algebraic Fractions Cumulative Graph 

Rationale:  This scheme allows pupils to become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
These units are taught now because it has number at their heart and as a result has a large proportion of time spent reinforcing number to build competency. 
These units develop the students’ conceptual understanding and the ability to recall and apply knowledge rapidly and accurately, reason mathematically by following a line of enquiry.
These units are taught now because it develops on from number and gives the pupils opportunities to build competency in solving problems by applying their mathematics to a variety of problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 
This scheme concludes KS4 by allowing pupils to revisit a variety of units that require further consolidation in preparation for the final exams.
These units are revisited now so that students feel confident with these topics in preparation for the final exams. 

How Learning will take place / pedagogy
Students will have the opportunity to demonstrate aspects of the learning model through identifying the strategies needed to solve mathematical problems, working with others to solve more complex problems and being able to discuss and justify techniques and methods used. They will be encouraged to review progress as they work, check and evaluate solutions and modify their approach if necessary. Students will be given opportunities to evaluate their strengths and limitations and to set realistic targets. Students will develop their ability to visualise and illustrate a maths problem and make connections between representations. In the course of learning mathematics and solving mathematical problems students will develop resilience and optimism. Staff seek to inspire and motivate their students and the subject is presented in a wide variety of ways including those using technology such as computers and interactive whiteboards. Students will also use a scientific calculator to perform calculations involving powers, roots and Pi. Learning will take place through wellstructured, differentiated lessons delivered at an appropriate pace using challenge and assessment for learning. Engaging starters to provide social, cultural and educational opportunities for learning. Lessons are scaffolded to promote challenge and differentiation by outcome, as neither the English Language or English Literature terminal exams are tiered. All our Schemes of Learning provide modelling of reading and writing examples to develop appropriate examrelated skills. 
How Learning will be assessed
Students will be given a Baseline assessment when they first join the school which will determine their approximate working at grade. They will then be given a levelled assessment each half term. 
Literacy and Numeracy Statement of Intent
Links to Literacy will include the spelling and definitions of new words associated with mathematics. Students’ work will be checked for spelling, punctuation and grammar. Awareness of terminology in functional skills exam questions. Students will be given an understanding of how things work in real life eg. understanding ten pin bowling scores, in preparation for functional skills exams. Following Whole School Literacy Policy as displayed in all classrooms and:

SMSC Statement
Social – Development of problem solving skills and reasoning skills and team work. Being able to justify methods and ideas. Communicating with others and explaining concepts to each other. Making sense of the data available in the modern world around them. Moral – Use and interpretation of data that is becoming more prevalent in society. Maths in real life contexts such as finance and implications Cultural – Islamic geometric patterns and discussing mathematics in cultural symbols and patterns (Rangoli patterns, symmetry, tessellations and Islamic geometric patterns). exchange rates for foreign travel, links to mathematicians such as Fibonacci and discussion on ratio and proportion in the real world e.g. Golden ratio. Encouragement of various approaches to mathematics influenced by different cultures, discussions on the cultural and historical roots of maths Spiritual – sense of wonder in the exactness of maths as well as a sense of personal achievement in solving problems. 
Evaluation at end of academic year
Progress data in the inside cover of exercise books as well as SIMS Tracking System and regular subject data analysis. 
Staff
Abdulrauf Parkar KS3/4 Maths teacher (subject lead)
Emil Bowe – KS3/4 Maths teacher
Anita Shaw – KS3 Maths Teacher
Moya Fletcher – KS3/4 Maths Teacher
Tom Waring – KS3/4 Teaching Assistant
Websites
For independent study/revision material please go to; https://www.mymaths.co.uk/
Username: larches
Password: obtuse