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Mathematics Curriculum overview Year Group 7-9 Overview Each term pupils will cover topics from each of the strands in the KS 3 program of study: Number Algebra Ratio, proportion and rates of change Geometry and measures Statistics and probability 10 Pupils will be following the EDEXCEL G.C.S.E. qualification at either Foundation or Higher tier. 11 Pupils will be following the EDEXCEL G.C.S.E. qualification at either Foundation or Higher tier. 12 Pupils will follow the EDEXCEL AS qualification: 13 Core 1 + 2 and Statistics 1 or Core 1 + 2 and Mechanics 1 Pupils will follow the EDEXCEL A2 qualification: Core 3 + 4 and Statistics 2 or Core 3 + 4 and Mechanics 2 Assessed piece/skills Pupils will be assessed every four units of work. They will be tested on their ability to: apply standard techniques reason, interpret and communicate Mathematically solve problems Assessment 4: End of year Summative examinations Non-calculator and Calculator skills will be assessed. Pupils will be assessed 4 times a year: Assessment 1: Statistics and Probability Assessment 2: Number, algebra, Geometry Assessment 3: Number, algebra, Geometry Assessment 4: End of year Summative examination Pupils will be assessed 4 times a year: Assessment 1: Number, algebra, Geometry Assessment 2: Number, algebra, Geometry Assessment 3: Number, algebra, Geometry Assessment 4: End of year Summative examination Pupils will be assessed 4 times a year: Assessment 1: Core 1: topic test Assessment 2: Core 1 Mock examination Assessment 3: Applied unit examination Assessment 4: AS examinations Pupils will be assessed 4 times a year: Assessment 1: Core 3: topic test Assessment 2: Core 3 Mock examination Assessment 3: Applied unit examination Assessment 4: A2 examinations Moral, Spiritual, Social, Cultural Education in Mathematics Mathematics lessons provide opportunities to promote: Spiritual development through helping pupils obtain an insight into the infinite, and through explaining the underlying principles behind some beautiful natural forms and patterns in the world around us. Moral development helping pupils recognise how logical reasoning can be used to consider the consequences of particular decisions and choices and helping them learn the value of mathematical truth. Social development through helping pupils work together productively on complex mathematical tasks and helping them see the result is often better than any of them could achieve separately. Cultural development: through helping pupils appreciate that mathematical thought contributes to the development of our culture and is becoming increasingly central to our highly technological future, and through recognising that mathematics from many cultures have contributed to the development of modern day mathematics. Literacy Speaking and Listening In mathematics lessons pupils are given the opportunities to participate orally to teachers questioning. They are actively encouraged to explain their reasoning to the rest of the class. Paired and group work will be used to promote discussion between pupils. Correct use of mathematical vocabulary and terminology is actively encouraged. Reading All the textbooks used by the Mathematics department are at a reading age that is lower than the chronological age of the child to assist with the accessibility of resources. Teachers will use high lighter pens to encourage pupils to read for information. Writing Teachers will highlight the incorrect spelling of Mathematical words to the student, in line with the school SPaG policy. Teachers will use the PEE chain when developing pupils “Quality of Written Communication” skills. Year 7 8 9 9 extension 10 Foundation 10 Higher Half term 1 Negative numbers Algebraic manipulation Averages Number types Number skills Algebraic manipulation Averages Number types Estimation Algebraic manipulation Averages Number skills Upper and Lower bounds Factorise and solve quadratics Presenting Data Number skills Averages Probability Whole numbers Fractions/Decimals Algebra - simplify Percentages Half term 2 Perimeter and area Ratio Sequences Probability Half term 3 Fractions Angles Graphs Half term 4 Presenting data Measures Surface area Half term 5 Volume Equations Percentages Half term 6 Transformations Decimals Constructions Project - data Perimeter and area Ratio + proportion Sequences Probability Fractions Angles Graphs Presenting data Measures Surface area Volume Equations Percentages Transformations Decimals Constructions Project - algebra Area Ratio + proportion Sequences Probability Fractions Angles Graphs Presenting data Measures Surface area Volume Equations Percentages Transformations Decimals/Inequalities Constructions Project - algebra Pythagoras’ theorem Proportion Sequences Probability Percentages Congruency and similarity Graphs Presenting data Equations Surface area Volume Simultaneous equations Trigonometry Graphs Inequalities Constructions Algebraic fractions Linear graphs Ratio and Proportion Directed numbers Algebra - factorise Area and perimeter Algebra - sequences Angles Algebra - indices Compound measure Volume Surface area Circles Symmetry Real life graphs Fractions - calculate Algebra – formulae Constructions Calculator skills Algebraic manipulation Averages Probability Number Fractions + decimals Algebra – simplify, indices, substitute Angles Number – HCF LCM Standard form Algebra – sequences Perimeter and area Algebra – factorising Linear functions Compound units Circle theorems Volume Surface area Ratio 3D solids Symmetry Surds Algebra – indices Bearings Constructions + Loci Equations Percentages 11 Foundation 11 Higher 12 Core + Statistics 12 Core + Mechanics 13 Core + Statistics Algebra – equations 3D solids Percentages Algebra – formulae Polygons + bearings Circles + sectors Simultaneous equations Pythagoras’ theorem Trigonometry Inequalities C1 Surds + Indices Algebraic expressions Factorising quadratics Inequalities Simultaneous equations Co-ordinate geometry Transformations Inequalities Circles and cylinders Quadratic graphs Trial + improvement Pythagoras’ theorem Converting units Revision Revision Trial + imp Transformations Formulae Similarity/congruency Proportion Vectors Non-right angled trig Revision C1 Surds + Indices Algebraic expressions Factorising quadratics Inequalities Simultaneous equations Co-ordinate geometry C3 Trigonometry Differentiation C1 + M1 Graphs Arithmetric series Differentiation Integration Vectors SUVAT Quadratic functions Common functions Surface area + volume Limits Transform graphs C2 + S1 Polynomials Circle geometry Binomial expansion Differentiation – applications Trigonometric functions Probability Correlation Regression C2 + M1 Polynomials Circle geometry Binomial expansion Differentiation – applications Trigonometric functions Forces Connected particles C4 + S12 Further differentiation Parametric graphs Integration C1 + S1 Graphs Artithmetric series Differentiation Integration Representation of data Summarising data Dispersion C3/C4 + S2 Proof Partial fractions Binomial expansion Revision C2 + S1 Exponentials and logs Integration and trapezium rule Geometric series Discrete random variables Normal distribution Revision C3 Algebraic fractions Functions Numerical methods C2 + M1 Exponentials and logs Integration and trapezium rule Geometric series Moments Revision C3 Algebraic fractions Functions Exponential and logs Numerical methods C4 + S2 Differential equations Vectors Hypothesis testing Revision Binomial and Poisson distributions 13 Core + Mechanics C3 Trigonometry Differentiation C3/C4 + M2 Proof Partial fractions Binomial expansion Projectiles Motion as a function of time Continuous random variables Continuous distributions C4 + M2 Further differentiation Parametric graphs Integration Centre of mass Work/Energy/Power C4 + M2 Differential equations Vectors Collisions Equilibrium Revision