Pool Academy

Mathematics

Click here for the maths question of week!

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.

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Pupils should encounter a range of different mathematical experiences with a balance between:
 

  • group work and individual work
  • oral and written 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
  • using ICT in mathematics

Key-Stage 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

Using the ICT facilities in Maths

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 non-integer 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 2D
Use 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 graphs
Equations of lines
Equations of lines parallel or perpendicular to others
Distance between two coordinates and Conversion Graphs
Probability 1
Draw 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 Fractions
Recap of BIDMAS. 4 Operations of integers, negative numbers, decimals and fraction with a calculator
Convert fraction and decimals (recurring and terminating)

Autumn 2

Quadratic Functions
Solve Quadratics by factorising
Solve Quadratics by completing the square
Angle facts and Polygons
Recap of angle properties including parallel lines
Interior and Exterior angles in Polygons
Similarity, Congruency and Tessellation
Prove formally geometric properties of triangles
Recap similar shapes
Understand why some shapes tessellate and others do not
Length, Area and Volume Scale factors
Vectors
Understand 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 Equations
Set up and Solve Sim Equations Algebraically
Solve Sim Equations Graphically
Direct and Inverse Proportion
Find the value of the constant of proportionality and then find unknown values
Recognise and sketch the graphs for direct and inverse proportion
Quadratic Functions
Solve 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 x-axis
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 fractions
Fractions of quantities and reciprocals
Exact answers using surds and pi
Circle and Pythagoras questions
Solving Linear Inequalities
Set up and Solve linear inequalities
Emphasis on correct notation and representing solution
Further Simultaneous Equations
Find 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 2
Set Notation - including intersection and union
Tree diagrams
Experimental and Theoretical Probabilities - including relative frequencies
Curved Graphs
Plot 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 3D
Calculate 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 Non-right angled triangles
Sine, Cosine and Area of a triangle rules
3D problems
Circles, Cones, Pyramids and Spheres
Recap 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 2D
Use 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 graphs
Equations of lines
Equations of lines parallel or perpendicular to others
Distance between two coordinates and Conversion Graphs
Probability 1
Draw 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 Fractions
Recap of BIDMAS. 4 Operations of integers, negative numbers, decimals and fraction with a calculator
Convert fraction and decimals (recurring and terminating)


Autumn 2

Quadratic Functions
Solve Quadratics by factorising
Solve Quadratics by completing the square
Angle facts and Polygons
Recap of angle properties including parallel lines
Interior and Exterior angles in Polygons
Similarity, Congruency and Tessellation
Prove formally geometric properties of triangles
Recap similar shapes
Understand why some shapes tessellate and others do not
Length, Area and Volume Scale factors
Vectors
Understand 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 Equations
Set up and Solve Sim Equations Algebraically
Solve Sim Equations Graphically
Direct and Inverse Proportion
Find the value of the constant of proportionality and then find unknown values
Recognise and sketch the graphs for direct and inverse proportion
Quadratic Functions
Solve 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 x-axis
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 fractions
Fractions of quantities and reciprocals
Exact answers using surds and pi
Circle and Pythagoras questions
Solving Linear Inequalities
Set up and Solve linear inequalities
Emphasis on correct notation and representing solution
Further Simultaneous Equations
Find 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 2
Set Notation - including intersection and union
Tree diagrams
Experimental and Theoretical Probabilities - including relative frequencies
Curved Graphs
Plot 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 3D
Calculate 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 Non-right angled triangles
Sine, Cosine and Area of a triangle rules
3D problems
Circles, Cones, Pyramids and Spheres
Recap 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 Pamplin-Barnard

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 Mr T Collinge 

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