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Much of our everyday lives and work has mathematics at its heart. It encompasses applying mathematical techniques to routine procedures, problem solving, presenting arguments which may be justified by proofs alongside interpreting solutions in the context of the problem at hand. At St Mary’s we aim to provide an expertly devised varied curriculum which teaches techniques whilst engaging and inspiring students to apply these skills to real life problems which extend to other subject areas. Additionally we offer chances for enrichment through lunchtime clubs, external group competitions as well as individual challenges which are conducted internationally. We offer a regular lunchtime help club where students of all ages and abilities are encouraged to seek any support or help with individual questions or topic areas.
Key Stage 3  
In Key Stage 3 pupils follow the programs of study prescribed by the National Curriculum. They learn new techniques in each of the set areas of Number & Measure, Geometry, Algebra, Statistics, Probability, Ratio and proportion and Rates of Change and apply these to problems. We challenge and extend their thinking often going beyond that set out below. The pupils are encouraged to explain their thinking and to set this down on paper. They meet simple proofs and are encouraged to develop their talents of reasoning, interpretation and problem solving in the context of real life problems. More detail as to the content is set out below.  
Year 7 Secure Skills Include
Number & Measure: · Factors, Multiples, Squares, Square Roots, Primes and Divisibility tests. Powers and roots. Finding HCF and LCM logically. · Simple estimation and rounding to decimal places and significant figures. · Multiplication – standard methods up to 4 digit by 2 digit. · Negative numbers including +//x/÷and order of operations. · Conversion between metric units. · Time including time in decimal form. · Fractions, decimals, and percentage problems. Geometry: · Angle facts. · Properties of 2D and 3D shapes. · Area and perimeter of rectangles, triangles, parallelograms and composite shapes. · Volume and surface area of cubes and cuboids. · Metric and Imperial Units and their connections. · Reflective and rotational symmetry in shapes, transformations & formal constructions. · Coordinates and straight line graphs. Algebra: · Using letters in place of unknowns & variables and simplifying expressions. Create and use formulae. · Solving simple equations. · Generate sequences from termtoterm and position to term rules.
Statistics: · Work confidently with discrete data. Representing and interpreting data in graphical form. Comparing two data sets.
Ratio, Proportion and Rates of Change: · Understand the relationship between ratio and proportion. · Solve proportional and ratio problems. 
Year 8 Secure Skills Include
Number & Measure: · Use integer powers of 2, 3, 4, 5 and their associated roots. · Four rules of fractions and negative numbers and questions involving BIDMAS. · Multiply and divide an integer by a decimal and a decimal by a decimal. · Prime factor form including application to highest common factor and lowest common multiple. · Use multipliers to calculate a percentage increase/decrease.
Geometry: · Angles associated with parallel lines. · The sums of the interior and exterior angles of regular/irregular polygons. · Transform 2D shapes by simple combinations of rotations, reflections, enlargements and translations, on paper and using ICT. · Formal constructions and loci, both by reasoning and by using ICT, to produce shapes and paths. · Use bearings including the eight compass point bearings and threefigure bearings. · Extend area to trapezium; calculate areas of compound shapes. Algebra: · Recognise and plot equations of the form y = mx + c correspond to straightline graphs. · Construct linear functions arising from reallife problems and plot their corresponding graphs; discuss and interpret graphs arising from real situations. · Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets). · Begin to work with inequalities such as listing integer values that satisfy 4 ≤ x< 3 and appreciating all the real values of x that satisfy this. · Use linear expressions to describe the nth term of a linear sequence.
Probability: · Find and record all mutually exclusive outcomes for single events and two successive events in a systematic way, using twoway tables, tree diagrams and Venn diagrams.
Statistics: · Scatter graphs and linear correlation. · Understand what is meant by a sample. · Design questionnaires. · Produce and interpret stem and leaf diagrams, pie charts, bar charts and frequency diagrams. · Averages from a frequency table. · Compare two or more sets of data.
Ratio, Proportion and Rates of Change: · Use Scale drawings and map scales. · Use the unitary method to solve simple word problems involving ratio and direct proportion. · Divide a quantity into two or more parts in a given ratio, find missing quantities from a ratio and express a ratio in the form 1: n

Year 9 Secure Skills Include
Number & Measure: · Cancel common factors before multiplying or dividing fractions. · Multiply and divide by decimals. · Use a calculator efficiently to perform complex calculations with numbers of any size including fractions and negative numbers, knowing not to round during intermediate steps of a calculation; use p and sign change keys, function keys for powers, roots and fractions, brackets and the memory. Interpret the display in context. · Estimate square roots and cube roots. Geometry: · Extend angles in polygons work. · Convert between area and volume measures (mm2 to cm2, cm2 to m2, mm3 to cm3, cm3 to m3, and vice versa). · Find the circumference and area of a circle. · Calculate the surface area and volume of right prisms. · Understand congruence. · Visualise and use 2D representations of 3D objects; including plans and elevations. · Enlarge 2D shapes, given a centre of enlargement and any scale factor, on paper and using ICT; identify the scale factor of an enlargement and recognise that enlargements preserve angle but not length. · Pythagoras’ Theorem. · Trigonometry in rightangled triangles Algebra: · Find the inverse of a linear function. · Construct and solve linear equations with integer coefficients. · Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as · Solve problems involving direct proportion using algebraic methods. · Generate points and plot graphs of linear functions where y is given implicitly in terms of x, e.g. ay + bx = 0, y + bx + c = 0. · Distance–time graphs. · Factorise by common factors. · Use formulae from mathematics and other subjects. · List integer values that satisfy a given inequality and represent inequalities on number lines.
Probability: · Use frequency trees and link to probabilities.
Statistics: · Work confidently with continuous data including: grouping data, estimating the mean, modal class and the interval containing the median.
Ratio, Proportion and Rates of Change: · Find percentage changes. · Calculate simple interest, VAT, discounts, pay rises and simple compound interest. · Interpret and use ratio in a range of contexts, including solving word problems. · Extend working with map scales.

Key Stage 4  
In Key Stage 4 students follow the prescribed National Curriculum which is assessed by Edexcel Examination Board. Students are entered for either Higher Level leading to grades 4 – 9 or Foundation level leading to grades 1 – 5. The vast majority of the course builds upon and extends the skills learned at KS3, but students do encounter and develop new areas of mathematics. Particular emphasis is to be able to confidently:
· Accurately recall facts and carry out routine procedures or set tasks requiring multistep solutions. · Present arguments and proofs. · Make deductions, inferences and draw conclusions from mathematical information from mathematical information. · Interpret and communicate information accurately in the context of the given problem. · Evaluate methods used and results obtained. · Evaluate solutions to identify how they may have been affected by assumptions made. Assessment is by three separate 1 ½ hour written examinations at the end of the course. Paper 1 is noncalculator and Papers 2 & 3 require the use of a scientific calculator. The three papers are equally weighted. Those topic areas which are totally new to the tiers of entry are:
Exam Board: Edexcel ( Specification 1MA1) For further details on the syllabus content please visit:http://qualifications.pearson.com/en/qualifications/edexcelgcses/mathematics2015.html Good websites for support MathsWatch CorbettMaths Mr Barton Maths which includes short videos of each topic.

Key Stage 5 
Students who opt to study either Mathematics or Further Mathematics follow the Edexcel syllabus for both. These exciting subjects extend the knowledge and reasoning acquired thus far and challenge the students’ application and evaluation to a greater and much deeper level.
The A level Mathematics course builds upon the three areas of Pure Mathematics, Statistics and Mechanics. The students will expand their knowledge of Proof Algebra and functions Coordinate geometry in the (x,y) plane Sequences and Series Trigonometry Exponentials and Logarithms Differentiation Integration Vectors Quantities and units in mechanics Kinematics Forces and Newton’s laws Moments Statistical Sampling Data presentation and interpretation Probability Statistical Distributions Statistical Hypotheses Testing Assessment is by three 2hour examination papers at the end of the course.
In Further Mathematics the students will delve into fewer topic areas but far more deeply. They will meet Proof Matrices Further Algebra and Functions Further Calculus Further Vectors Polar Coordinates Hyperbolic Functions Differential Equations Further Trigonometry Coordinate Systems Numerical Methods Inequalities Algorithms and Graph Theory Algorithms on Graphs Critical Path Analysis Linear Programming Assessment is by four 1 ½ hour examination papers at the end of the course. Exam Board: For A level Mathematics the Exam board is Edexcel. The subject code is 9MA0. For A level Further Mathematics the exam board is also Edexcel. The subject code is 9FM0. For further details please visit: https://qualifications.pearson.com/en/qualifications/edexcelalevels/mathematics2017.html Good Websites for support Dr Frost Physics and Maths Tutor 
Mr Kieren O’ Sullivan
Head of Maths Department