Mathematics
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We place a very high emphasis at Pool on every pupil gaining a sound working knowledge of mathematics. As a core subject in the National Curriculum it is studied extensively by all students in all years.
Pupils should encounter a range of different mathematical experiences with a balance between:
 group work and individual work
 activities which develop knowledge or practise skills and investigative problem solving or practical activities
 activities which are closed, and those that are open
 listening and talking, reading and writing, observing and doing
KeyStage 4 Examinations
Students will be entered for the EDEXCEL examinations at the end of Year 11. There is no coursework component of the syllabus so each exam paper accounts for 50% of their grade.
GCSE Mathematics is examined in two overlapping tiers of entry:
Higher Tier with grades A* to D available
Foundation Tier with grades C to G available
Both tiers have two exam papers at the end of the course that each make up 50% of the final grade. The main difference between the two papers is that one is done with the aid of a calculator, one is not. In the foundation tier the exams last for 1 hour and 30 minutes each, whilst in the higher tier they are slightly longer at 1 hour and 45 minutes each.
Scheme of Learning Mathematics
Year 9
Autumn 1
 Integers and Decimals

Operations on Integers  including BIDMAS, Rounding and Estimating

Operations on Fractions and Decimals
Algebraic Manipulation
CLT and Expand / Factorise 1 bracket
Expand and factorise 2 brackets
Difference of 2 squares and Simplify Algebraic fractions
Form algebraic expression from a given statement and rearrange this to arrive at a proof
Angle facts and Geometric Shapes and Symmetry
Starter: Line and Rotational Symmetry. Main: Basic angle properties including notation!
Starter: Properties of triangles and quadrilaterals. Main: Prove exterior of triangle = sum of opposite 2 interior and angle sum for triangle = 180
Data Processing
3 types of average & range
Frequency tables  estimate for mean
Cumulative frequency  median/IQR
Autumn 2
Factors and Multiples
Starter: Venn Diagrams. Main: PFD, HCF and LCM
Patterns and Sequences
Generate Linear Sequence and nth term. Explain why a number is or is not a member of a given sequence
Generate Quadratic Sequence and nth term
Area and Perimeter
Area of rectange, triangle, parallelogram and trapezium and Compound Shapes
Data Collecting
Surveys and questionnaires
Sampling and Bias
Spring 1
Standard Form
Large and Small Numbers
Calculations
Solving Linear Equations
Solve equations which include brackets, fractional coefficients and negatives
Solve equations with unknowns on both sides
Form and solve equations from word problems
Transformations
Translate, reflect and rotate shapes
Enlarge shapes with positive, negative and fractional scale factors
Data  Representing
Frequency polygons
Pie charts
Spring 2
Data  Representing
Box and Whisker plots
Histograms
Ratio and Proportion
Starter: Scale drawings. Main: Divide quantities into a ratio and unitary method
Similarity and Congruency
Use integer and noninteger scale factors to find lengths of sides in similar shapes
Summer 1
Linear Graphs and y=mx+c
Coordinates, Midpoints, Missing coordinate to complete shape, Horizontal and Vertical lines
Draw graphs by generating points
Gradients and y=mx+c
Data  Interpreting
Comparing data sets (what do data displays tell you eg box and whisker)
Formulae
Substitution
Generate formula from given information and rearrange to give a proof
Change subject of formula where variable appears more than once
Circle Theorems 1
Starter: Parts of circles. Main: Theorems about tangents and Perpendicular from centre bisects chord
Proof of theorems and find missing angles
Summer 2
Circle Theorems 2
Prove and Use: Angle at centre is twice angle at circumference; Angles in same segment; Angles in cyclic quadrilateral
Prove and Use: Alternate Segment Theorem and Intersecting Chords
Exact Answers and Surds
Simplify Surds
Rationalise denominator
Data project  recap everything
Project on ALL data topics
Year 10
Autumn 1
Pythagoras' Theorem and Trigonometry in 2DUse Pythagoras' theorem  including to find the distance between two coordinates
Use trigonometric ratios to find missing lengths
Use trigonometric ratios to find missing angles
Straight line graphsEquations of lines
Equations of lines parallel or perpendicular to others
Distance between two coordinates and Conversion Graphs
Probability 1Draw and Use Sample Space Diagrams. Know and use that the sum of probabilities of all outcomes is 1. Know when to add or multiply two probabilities
Integers, Decimals and FractionsRecap of BIDMAS. 4 Operations of integers, negative numbers, decimals and fraction with a calculator
Convert fraction and decimals (recurring and terminating)
Autumn 2
Quadratic FunctionsSolve Quadratics by factorising
Solve Quadratics by completing the square
Angle facts and PolygonsRecap of angle properties including parallel lines
Interior and Exterior angles in Polygons
Similarity, Congruency and TessellationProve formally geometric properties of triangles
Recap similar shapes
Understand why some shapes tessellate and others do not
Length, Area and Volume Scale factors
VectorsUnderstand and use vector notation. Calculate and represent graphicaly the sum of two vectors, the difference of two vectors and a scalar multiple of a vector
Solve simple geometrical problem in 2D using vector notation. Prove the three or more points are collinear
Spring 1
Simultaneous EquationsSet up and Solve Sim Equations Algebraically
Solve Sim Equations Graphically
Direct and Inverse ProportionFind the value of the constant of proportionality and then find unknown values
Recognise and sketch the graphs for direct and inverse proportion
Quadratic FunctionsSolve Quadratic using the quadratic formula giving the answer as a decimal or a surd
Plot the graphs of quadratic functions and find the solutions by considering the intercept on the xaxis
Complete the square and use this to write down the maximum or minimum of the function
Spring 2
Percentages Percentage of Amount. One quantity as a percentage of another
Percentage Change
Reverse Percentages
Compound Interest
Using fractionsFractions of quantities and reciprocals
Exact answers using surds and piCircle and Pythagoras questions
Solving Linear InequalitiesSet up and Solve linear inequalities
Emphasis on correct notation and representing solution
Further Simultaneous EquationsFind exact solutions of linear and quadratic equations
Equation of a circle
Find exact solutions of linear and circular equations
Find approximate solutions of simultaneous equations graphically
Summer 1
Probability 2Set Notation  including intersection and union
Tree diagrams
Experimental and Theoretical Probabilities  including relative frequencies
Curved GraphsPlot and recognise quadratic, cubic, reciprocal, exponential, trignometrical functions
Use the graphs to find approximate solutions to equations
Transforming Graphs
Transformation of specific graphs
Transformation of general curves
Transformation of trignometric curves
Summer 2
Pythagoras' Theorem and Trigonometry in 3DCalculate the diagonal across the face of a cuboid or the diagonal through a cuboid
Find the angle between the diagonal through a cuboid and the base
Find the angle between the sloping edge of a pyramid and the base
Trigonometry in Nonright angled trianglesSine, Cosine and Area of a triangle rules
3D problems
Circles, Cones, Pyramids and SpheresRecap of area and circumference of circles  leading to arcs and sectors
Volume of complex shapes
Surface Area of complex shapes
Year 11
Autumn 1
Pythagoras' Theorem and Trigonometry in 2DUse Pythagoras' theorem  including to find the distance between two coordinates
Use trigonometric ratios to find missing lengths
Use trigonometric ratios to find missing angles
Straight line graphsEquations of lines
Equations of lines parallel or perpendicular to others
Distance between two coordinates and Conversion Graphs
Probability 1Draw and Use Sample Space Diagrams. Know and use that the sum of probabilities of all outcomes is 1. Know when to add or multiply two probabilities
Integers, Decimals and FractionsRecap of BIDMAS. 4 Operations of integers, negative numbers, decimals and fraction with a calculator
Convert fraction and decimals (recurring and terminating)
Autumn 2
Quadratic FunctionsSolve Quadratics by factorising
Solve Quadratics by completing the square
Angle facts and PolygonsRecap of angle properties including parallel lines
Interior and Exterior angles in Polygons
Similarity, Congruency and TessellationProve formally geometric properties of triangles
Recap similar shapes
Understand why some shapes tessellate and others do not
Length, Area and Volume Scale factors
VectorsUnderstand and use vector notation. Calculate and represent graphicaly the sum of two vectors, the difference of two vectors and a scalar multiple of a vector
Solve simple geometrical problem in 2D using vector notation. Prove the three or more points are collinear
Spring 1
Simultaneous EquationsSet up and Solve Sim Equations Algebraically
Solve Sim Equations Graphically
Direct and Inverse ProportionFind the value of the constant of proportionality and then find unknown values
Recognise and sketch the graphs for direct and inverse proportion
Quadratic FunctionsSolve Quadratic using the quadratic formula giving the answer as a decimal or a surd
Plot the graphs of quadratic functions and find the solutions by considering the intercept on the xaxis
Complete the square and use this to write down the maximum or minimum of the function
Spring 2
PercentagesPercentage of Amount. One quantity as a percentage of another
Percentage Change
Reverse Percentages
Compound Interest
Using fractionsFractions of quantities and reciprocals
Exact answers using surds and piCircle and Pythagoras questions
Solving Linear InequalitiesSet up and Solve linear inequalities
Emphasis on correct notation and representing solution
Further Simultaneous EquationsFind exact solutions of linear and quadratic equations
Equation of a circle
Find exact solutions of linear and circular equations
Find approximate solutions of simultaneous equations graphically
Summer 1
Probability 2Set Notation  including intersection and union
Tree diagrams
Experimental and Theoretical Probabilities  including relative frequencies
Curved GraphsPlot and recognise quadratic, cubic, reciprocal, exponential, trignometrical functions
Use the graphs to find approximate solutions to equations
Transforming GraphsTransformation of specific graphs
Transformation of general curves
Transformation of trignometric curves
Summer 2
Pythagoras' Theorem and Trigonometry in 3DCalculate the diagonal across the face of a cuboid or the diagonal through a cuboid
Find the angle between the diagonal through a cuboid and the base
Find the angle between the sloping edge of a pyramid and the base
Trigonometry in Nonright angled trianglesSine, Cosine and Area of a triangle rules
3D problems
Circles, Cones, Pyramids and SpheresRecap of area and circumference of circles  leading to arcs and sectors
Volume of complex shapes
Surface Area of complex shapes
Mrs B Haslam
Head of Department
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Mrs L Warwicker
Deputy Head of Department
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Mr D Williams
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Miss M Tremain
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Dr S Miller
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Mr M Robertson
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Mr A PamplinBarnard
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Mr T Collinge
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