• King Ecgbert School,
    Totley Brook Road,
    Dore,
    Sheffield, S17 3QU
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Mathematics at King Ecgbert School

Year 7 and 8

KS3 Students follow a 2-year scheme of work during Year 7 and Year 8. They are taught in in groups based on their ability and have four lessons of Maths each week. 

GCSE Mathematics (Years 9, 10 and 11)

Students start the GCSE course during Year 9, taking 3 lessons during Year 9 and 4 lessons a week during Years 10 and 11. GCSE Mathematics is core at KS4. Students will follow either the Foundation or Higher course. We are using the Edexcel exam board – 1MA1 is the course code. 

Students in Year 11 will spend the majority of the time revising and finishing the scheme of work if applicable. Staff will use their professional judgement to decide which key topics to work on. Their decisions will be helped with analysis from the December mock examinations, along with analysis from a further mock exam near Easter. 

Mathematics in the Sixth Form

At KS5 we offer Maths and Further Maths at A level. In both years students following the course receive 5 x one hour lessons, blocked in a 3 and a 2. A Level maths is made up of Pure (Two 2 hour papers) and a 2 hour paper made up of a mixture of statistics and mechanics.  This is all examined at the end of the two year course.  AS is available but we encourage all pupils to complete the full A Level.

We also offer core maths which is equivalent to an AS for those who want to continue their mathematics or are looking at a degree course which would benefit the continuation of their use of maths.  It is a course designed to look at more real life applicable maths that most people will/could use as part of their everyday work.  It supplements the science subjects very well if you are not already doing maths.  It consists of four lessons every week and will be fully examined at the end of year 12.

Year 

Half term

Topics covered

 

7

1

Number 1 – Types of number, operations, negative numbers, order of operations.

Number 2 – Coordinates, Units, ordering, Rounding, Perimeter and Area.

2

Number 3 – Equivalences, Percentages, 4 operations, fractions/percentages of amounts.

Data 1 – Mean, Median, Mode, Range, Bar Charts, Frequency tables and comparing data sets, scatter graphs, grouped data.

3

Number 4 – Simplifying ratio, split into amounts, direct proportion, comparing proportions.

Algebra 1 – Construct and simplify expressions, expand brackets, identify unknowns/variables, substitution.

4

Shape 1 – Reflections, rotations, translation, enlargement, congruent shapes, symmetry.

5

Shape 2 – Constructing triangles, angle facts around a point/on a straight line/in a triangle, simple angle proofs.

6

Algebra 2 - Graphs of linear functions, relationships between variables, Arithmetic, Geometric, nth term, term to term rules, triangle numbers.

 

 

 

Year 

Half term

Topics covered

8

1

Number 5 – Factors, Multiples, HCF, LCM, reciprocals, BIDMAS, powers and roots.

Algebra 3 – Notations and conventions, solving equations in a variety of contexts.

2

Shape 3 – Cubes, cuboids, prisms, trapeziums, triangles, parallelograms, compound shapes, circles, imperial and metric units.

3

Measures – Trends, Distance/Time, Non-linear, conversion graphs.

Shape 4 – Triangles, Bisectors, Loci.

4

Probability – Scale, theoretical and experimental probability, mutually exclusive outcomes.

5

Data 2 – Averages, Stem and Leaf, Scatter Graphs, Correlation, continuous data.

6

Number 6 – Conversion and equivalences, ratio.

 

 

Year

Half term

Topics covered

9

Foundation

1

Number – Decimals/Place Value, Factors and Multiples, Indices, Prime Factors

Algebra – Algebraic Expressions, Substitution, Formulae, Expanding and Factorising Brackets

2

Graphs/Tables/Charts – Frequency Tables, 2-Way Tables, Representing Data, Time Series

Fractions/Percentages – Operations with Fractions, Decimals, Percentages

3

Equations/Inequalities/Sequences – Solving Equations, Inequalities, Formulae, Sequences, nth Term of a Sequence

4

Angles – Properties of Shapes, Angles in Parallel Lines, Exterior and Interior Angles of Polygons, Geometrical Patterns

5

Averages and Range – Mean, Median, Mode, Range, Sampling

6

Perimeter, Area and Volume – Area and Perimeter of 2D Shapes, Area of Compound Shapes, Surface Area, Volume of Prisms

 

Year

Half term

Topics covered

9

Higher

1

Number – HCF/LCM, Indices, Standard Form, Surds

Algebra – Indices, Expanding and Factorising Brackets, Quadratic Equations, Formulae, Sequences, nth Term of a Sequence

2

Data – Averages, Time Series, Statistical Diagrams

Fractions, Ratios, Percentages – Fractions, Ratio, Proportion, Percentages

3

Angles and Trigonometry – Exterior and Interior angles of Polygons, Pythagoras’ Theorem, Trigonometry

4

Graphs – Linear Graphs, Distance/Time and Velocity/Time Graphs, Real-life Graphs, Quadratic Graphs, Cubic and Reciprocal Graphs

5

Area and Volume – Perimeter and Area, Units and Accuracy, Prisms, Circles, Pyramids and Cones

6

Transformations and Constructions – Reflection, Rotation, Enlargement, Translations, Bearings and Scale Drawings, Constructions, Loci

 

Year

Half term

Topics covered

10

Foundation

1

Graphs – Coordinates, gradients, y = mx + c, real life graphs, distance-time graphs

Transformations – Coordinates, Translations, Rotations, Reflections, Enlargements, Enlargements with Fractional Scale Factors

2

Ratio and proportion – Ratios, Measures, Proportion, Graphs

Right Angled Triangles – Pythagoras, trigonometry,

3

Probability – Experimental, VENN diagrams, Tree diagrams, Mutually exclusive

Multiplicative Reasoning -  Percentages, Growth and Decay, Compound Measures, Distance and Speed, Direct and Inverse proportion

4

Constructions, Loci and Bearings – 3D solids, plans and elevations, Scale drawings, Constructions, Loci, Bearings

Quadratic Equations and Graphs – Expanding two brackets, Plotting Quadratics, Factorising, Solving quadratics equations

5

Perimeter, Area and Volume 2 – Circumference and area of a circle, Sectors and arcs, Pyramids and Cones, Spheres

Fractions, Indices and Standard Form – Multiplying and Dividing Fractions, Laws of Indices, Standard Form

6

Congruence, similarity and Vectors– Similarity, Congruence, Vectors

More algebra – Graphs of cubic and reciprocal functions, Simultaneous equations, rearranging formulae, Proof

 

Year

Half term

Topics covered

10

Higher

1

Equations and Inequalities – Quadratic Equations, Completing the square, simultaneous equations, linear inequalities

Probability – Mutually exclusive, Independence, conditional, experimental, VENN diagrams

2

Multiplicative Reasoning – Growth and decay, Compound measures, Ratio and proportion

Similarity and congruence – Congruence, geometric proof, similarity, 3D solids

3

More Trigonometry – Graphs of trig functions, Areas of triangles, Cosine rule, Sine rule, Transforming graphs

Further Statistics – Sampling, Cumulative frequency, box plots, histograms, comparing data

4

Equations and Graphs – Simultaneous equations, Inequalities, quadratics, cubics

Circle Theorems – Chords, tangents, angles in circles

5

More Algebra – Rearranging Formulae, Algebraic fractions, surds, functions

Vectors and Geometric proof – vector notation, Parallel vectors, Geometric applications

6

Proportion and Graphs – Direct proportion, inverse proportion, exponential functions, transforming graphs

Information for all years

The ability and needs of each group will dictate the depth and pace that topics are covered and staff will use their professional judgement to plan this.  In some cases staff will extend beyond the scheme of work if they feel these topics have been mastered.  Students are assessed towards the end of each term and we look closely at their performance in these tests when setting pupils to ensure they are stretched/supported with the learning.