Key Stage 4

Key Stage 4 (Year 10 & 11) students continue to follow the new reformed Edexcel GCSE course as a 2 year period of study, internal assessments continue to use end of topic tests and half termly assessments. Students are prepared to sit their GCSE examination using the Edexcel Linear course, which contains 3 examinations (2 calculator and 1 non-calculator) at the end of year 11 with grades determined by performance across all papers, the final grade awarded will be on 9-1 scale. Students study at either Foundation or Higher Tier depending on their ability. Students are fully supported throughout the course with excellent resources, targeted teaching and many opportunities to attend extra support sessions

Students study the Mathematics National Curriculum and through this we aim to develop our students as follows:

  • a positive attitude towards mathematics, as well as competence and confidence in mathematical knowledge, concepts and skills;
  • an ability to solve problems, to reason, to think logically and to work systematically and logically;
  • the skills to use their own initiative and an ability to work both independently and in co-operation with others;
  • an ability to communicate through mathematics and to use and apply mathematics across the curriculum and in real life.

 

By the end of year 11, students will develop their KNOWLEDGE of:

• accurately recall facts, terminology and definitions
• using and interpreting notation correctly
• accurately carry out routine procedures or set tasks requiring multi-step
solutions
• making deductions, inferences and draw conclusions from mathematical
information
• constructing chains of reasoning to achieve a given result
• translating problems in mathematical or non-mathematical contexts into a
process or a series of mathematical processes
• making and use connections between different parts of mathematics

 

Students will develop their SKILLS in:

• interpreting and communicate information accurately
• presenting arguments and proofs
• assessing the validity of an argument and critically evaluate a given way of
presenting information
• interpreting results in the context of a given problem
• evaluating methods used and results obtained
• evaluating solutions to identify how they may have been affected by
assumptions made

 

Year 10 Foundation Curriculum Overview

Year 10 Foundation OverviewFoundation TopicsFoundation Content
Term 1ProbabilityCalculating probability
Two events
Experimental probability
Tree diagrams
Multiplicative ReasoningPercentages
Growth and decay
Compound measure
Distance, speed and time
Direct and inverse proportion
RatioWriting ratios
Using ratios
Ratios and measures
Comparing using ratios
Using proportion
Proportion and graphs
Proportion problems
Fractions, indices & Standard FormMultiplying and dividing fractions
The laws of indices
Writing large numbers in standard form
Calculating with standard form
Term 2Quadratic Equations and GraphsExpanding double brackets
Plotting quadratic graphs
Using quadratic graphs
Factorising quadratic expressions
Solving quadratic equations algebraically
Pythagoras & TrigonometryPythagoras' theorem
Trigonometry: the sine ratio
Trigonometry: the tangent ratio
TransformationTranslation
Reflection
Rotation
Enlargement
Describing enlargements
Combining transformations
Term 3Perimeter, Area and Volume Circumference of a circle
Area of a circle
Composite 2D shapes and cylinders
Congruence, similarity & Vectors Similar triangles. Similarity and enlargement. Problem solving involving similarity. Congruence. Vectors.
Constructions, Bearings and LociPlans and elevations
Accurate drawings
Scale drawings and maps
Constructions
Loci and regions
Bearings

 

Year 10 Intermediate Curriculum Overview

Year 10 Intermediate OverviewIntermediate TopicsIntermediate Content
Term 1ProbabilityTwo events. Combined events.
Mutually exclusive events.
Experimental probability.
Independent events and tree diagrams.
Conditional probability.
Venn diagrams and set notation.
Multiplicative ReasoningPercentages of amounts
Growth and decay
Compound measures
Distance, speed and time
Growth and decay
Compound measures
Ratio, Proportion & GraphsComparing using ratios. Using proportion. Ratio & Proportion. Direct proportion. Inverse proportion. Comparing using ratios
Using proportion. Exponential functions
Non-linear graphs
Translating graphs of functions
Fractions, Algebraic fractionsFractions. Rearranging formulae.
Algebraic fractions. Simplifying algebraic fractions. Algebraic fractions. Surds.Solving algebraic fraction equations.
Functions.Proof.
Term 2Equations & GraphsNon-linear graphs. Solving simultaneous equations. Rearranging formulae.
Solving simultaneous equations graphically.
Representing inequalities graphically.
Graphs of quadratic and cubic functions.
Solving quadratic equations graphically.
Pythagoras, Trigonometry and transformation of graphsTrigonometry. Calculating areas and the sine rule
The cosine rule and 2D trigonometric problems. Solving problems in 3D.Graph of the sine function. Graph of the cosine function.The tangent function. Transforming trigonometric graphs
StatisticsTwo-way tables. Representing data. Time series. Stem and leaf diagrams. Sampling. Cumulative frequency. Box plots. Drawing histograms.Interpreting histograms. Comparing and describing populations.
Term 3Transformation, Vectors & Geometrical ProofCombining transformations. Vectors and vector notation. Vector arithmetic. More vector arithmetic.Parallel vectors and col-linear points.
Perimeter, Area, Volume, congruence and SimilarityCircumference& Area of a circle. Arcs and sectors. Composite 2D shapes and cylinders. Prisms,p yramids, cones and spheres. Congruence
Geometric proof and congruence
Similarity
More similarity
Similarity in 3D solids
Angles, bearing, Circle Theorem and constructionsExterior and interior angles. More exterior and interior angles
Geometrical problems. Constructions.Loci and regions. Bearings. Angles in circles. Applying circle theorems

 

Year 10 Higher Curriculum Overview

Year 10 Higher OverviewHigher TopicsHigher content
Term 1ProbabilityCombined events
Mutually exclusive events
Experimental probability
Independent events and tree diagrams
Conditional probability
Venn diagrams and set notation
Multiplicative ReasoningPercentages. Compound measures. Growth and decay. Compound measures. Ratio and proportion. Direct & inverse proportion.
Proportion & GraphsDirect & Inverse proportion. Exponential functions
Non-linear graphs
Translating graphs of functions
Reflecting and stretching graphs of functions
Algebra - Algebraic fractionsRearranging formulae. Algebraic fractions. Simplifying algebraic fractions. More algebraic fractions.Surds.Solving algebraic fraction equations. Functions. Proof.
Term 2Equations & GraphsSolving simultaneous equations graphically. Representing inequalities graphically. Graphs of quadratic functions. Solving quadratic equations graphically. Graphs of cubic functions.
Trigonometry and transformation of graphsAreas and the sine rule. The cosine rule and 2D trigonometric problems. Solving problems in 3D. Graph of the sine function. Graph of the cosine function. The tangent function.Transforming trigonometric graphs.
StatisticsSampling. Cumulative frequency. Box plots. Drawing histograms. Interpreting histograms. Comparing and describing populations
Term 3Vectors & Geometrical ProofVectors and vector notation. Vector arithmetic
More vector arithmetic. Parallel vectors and collinear points
Solving geometric problems
Similarity & CongruenceCongruence. Geometric proof and congruence. Similar Triangles. Similar shapes. Similarity in 3D solids.
Circle TheoremRadii and chords. Tangents. Angles in circles. Applying circle theorems. Applying circle theorems

 

Year 11 Foundation Curriculum Overview

Year 11 Foundation OverviewFoundation TopicFoundation unit content
Term 1Real life graphsDistance-time graphs. Conversion graphs. Gradient. More real-life graphs.
Expanding and factorising.Expanding single and double brackets. Factorising expressions & quadratic expressions.
Graphs. Solving quadratic equation algebraically and using graphs.Linear fuctions and gradient. Plotting quadratic graphs. Using quadratic graphs. Solving quadratic equations algebraically.
Area & volumeRectangles, parallelograms and triangles. Trapezia and changing units. Area of compound shapes. Surface area of 3D solids. Volume of prisms. Volume and surface area.
Circles, cones and SpheresCircumference & Area of a circle. Arcs and sectors. Composite 2D shapes and cylinders. Pyramids and cones. Spheres and composite solids.
TransformationTransformation and combined transformation.
Similarity Angle fact, ratio and similar triangles.
Term 2Revision and examsBespoke Individual learning plan

 

Year 11 Higher Curriculum Overview

Year 11 Higher OverviewHigher TopicHigher unit content
Term 1Surds and indicesSurds. Indices and powers.
SequencesSequences - Linear and non linear.
GraphsCompleting the square and turning points. y=mx+c. Sketching graphs. Inequality graphs linear & Quadratic. Factorising and triple brackets. Equation of a circle, simultaneous equations from a graph.
Cirlce theoremCircle theorem. Alternate segment theorem. Circle theorem proof
TrigonometryTrigonometry (SOHCAHTOA). Sine rule, cosine rule, area of a triangle.
SimilaritySimilar triangles. Area & Volume of similar shapes. Volume of frustums
Compound measuresDensity measure, pressure measures & acceleration.
Term 2Revision and examsBespoke Individual learning plan