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Maths

Course Director Ellen Johnson

 

The Mathematics Department has very high expectations for all students. We aim to create an environment where students can develop their potential, and build upon the mathematical skills and concepts experienced in earlier years. Students are shown the relevance and importance of Mathematics to the real world and the impact it has.

As a department we foster a positive attitude towards Mathematics and its applications. We aim to provide students with the knowledge of how to use and apply maths, and its potential to enrich the wider aspects of their education. We encourage and promote problem solving skills and techniques at all levels and across the range of mathematical topics, as well as encouraging students to recognise mathematical experiences in other curricular areas.

Maths

https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-of-study

Foundation Year 10 Scheme of Work
  Key: Italic   specification references are assumed prior knowledge and are covered in the   prior knowledge check rather than the main teaching.
Term Unit/section title GCSE (9-1) Specification reference
Autumn 1

1 Number

Apply the 4 operations to decimals

Factors, multiples and prime numbers including LCM   and HCF

Calculate with roots and integer indices

Use prime factorisation

Use standard units of measure

Rounding and estimating

 

2 Algebra

Use and interpret algebraic notation,

Substitution into formulae

Simplify and manipulate algebraic expressions by   collecting like terms, expanding   brackets and factorising

Index laws

Autumn 2

3 Graphs, tables and charts

Standard ruler and compass constructions

Standard units of measure

Measure line segments and angles

Interpret and construct tables, charts and   diagrams

Interpret, analyse and compare appropriate   measures of central tendency and spread

Scatter graphs

 

4 Fractions and percentages

Apply the four operations to integers, decimals   and simple fractions

Simplify fractions and find equivalent   fractions.  

Prime factorisation, HCF and LCM

Convert between decimals and fractions

Round numbers to decimal places and significant   figures

Compare two quantities using percentages; calculate   percentage change, original value problems and simple interest

 

5 Equations, inequalities and sequences

Solving linear equations algebraically and   graphically

Substitution into formulae

Rearrange formulae

nth term

Spring 1

6 Angles

Use correct notation and vocabulary to describe   shapes

Know and use angle properties of triangles

Angles in parallel lines

Congruence and similarity

Simple proofs

Interior and exterior angles of polygons

 

7 Averages and range

Interpret and construct tables, charts and   diagrams

Use appropriate measures of central tendency and   spread

Sampling a population

Estimating the mean

 

8 Perimeter, area and volume 1

Use standard units measure

Estimation

Know and apply formulae to calculate area and   perimeter of shapes including composite shapes

Calculate the surface area and volume of a 3D   shape

Spring 2

9 Graphs

Plot linear graphs

Calculate the gradient and intercept of linear   graphs

Plot and interpret real life graphs

 

10 Transformations

Translation, reflection, rotation and enlargement

Describe translations as 2D vectors

Combine transformations

Summer 1

11 Ratio and proportion

Share in a given ratio

Write and simplify a ratio

Solve problems involving direct and indirect   proprtion

Compound units

Compare lengths, areas and volumes using ratio   notation

 

12 Right-angled triangles

Know and use Pythagoras' Theorem

Know and use Trigonometry

 

13 Probability

Calculate probabilities

List outcomes

Venn diagrams

Relative frequency

Tree diagrams

Summer 2

14 Multiplicative reasoning

Solve problems involving percentage change

Compound interest

Solve problems involving direct and indirect   proportion

 

15 Constructions, loci and bearings

Use scale factors, scale diagrams and maps

Describe 3D shapes  

Standard ruler and compass constructions

Draw accurate scale drawings

Bearings

Loci

  Foundation Year 11 Scheme of Work
Term Unit/section   title GCSE (9-1) Specification reference
Autumn 1

16 Quadratic equations and graphs

Expand double brackets

Factorise quadratic expressions, including the   difference of two squares

Plot and interpret quadratic graphs

Solve quadratic equations algebraically

 

17 Perimeter, area and volume 2

Calculate exactly with multiples of π

Know and apply formulae to calculate the area of   triangles, parallelograms, trapezia; volume of cuboids and other right prisms  

Know and apply the formulae for the circumference   and area of a circle

Calculate the area and perimeter of semi circles   and sectors

 

18 Fractions, indices and standard form

Multiply and divide fractions

Index laws

Write and interpret numbers in standard form

Calculate with standard form

N9   calculate with and interpret standard form A x 10n, where 1   ≤ A < 10 and n is an integer.

Autumn 2

19 Congruence, similarity and vectors

Use the basic congruence criteria for triangles

Identify, describe and construct congruent and   similar shapes.

Addition and subtraction of vectors and   multiplication of vectors by a scalar

 

20 More algebra

Recognise, sketch and interpret graphs of cubic   and reciprocal functions

Solve linear equations algebraically and   graphically

Solve simultaneous equations algebraically and   graphically

Rearrange formulae

Solve problems involving direct and inverse   proportion

Spring Preparation   for the GCSE Examinations
Higher Year 10 Scheme of Work
  Key: Italic   specification references are assumed prior knowledge and are covered in the   prior knowledge check rather than the main teaching.
Term Unit/section title GCSE (9-1) Specification reference
Autumn 1

1 Number

Written calculations

Indices and roots

Types of number eg HCF and LCM

Estimation and rounding

Simplify Surds

 

2 Algebra

use the symbols =, ≠, <, >, ≤, ≥

Calculations with fractions …

Standard form

Substitution

Simplify and manipulate algebraic expressions

Nth term of linear sequences.

Autumn 2

3 Interpreting and representing data

Use standard units of measure

Interpret and construct tables, charts and   diagrams

Use   appropriate measures of central tendency and spread

Scatter graphs

 

4 Fractions, ratio and percentages

Calculations with fractions …

Recurring fractions

Ratio problems

Percentage problems

 

5 Angles and trigonometry

Angles in parallel lines

Properties of quadrilaterals

Apply angle facts

Pythagoras’ theorem

Trigonometry

Spring 1

6 Graphs

Straight line graphs

Interpret real life graphs

Solve simple kinematic problems involving   distance, speed and acceleration

Direct and indirect proportion

 

7 Area and volume

Perimeter and area

Units and accuracy

Prisms

Circles and spheres

Pyramids and cones

 

8 Transformations and constructions

3D solids

Transformations

Bearings and scale drawings

Constructions and loci

Spring 2

9 Equations and inequalities

Solve quadratic equations

Simultaneous equations

Completing the square

 

10 Probability

Calculating probabilities

Probability tree diagrams

Relative frequency. Mutually exclusive events

Summer 1 11 Multiplicative reasoning

Compound measures

Ratio and proportion

 

12 Similarity and congruence

Congruence and similarity

Proofs

 

13 More trigonometry

Graphs of trigonometric functions

Accuracy including bounds

Sine and cosine rule Transformation of   trigonometric graphs

Summer 2

14 Further statistics

Sampling

Cumulative frequency and box plots

Histograms

 

15 Equations and graphs

Simultaneous equations graphically

Graphs of quadratic equations

  Higher Year 11 Scheme of Work
Term Unit/section   title GCSE (9-1) Specification reference
Autumn 1

16 Circle theorems

Equation of a circle with centre at the origin;   find the equation of a tangent to a circle at a given point

Apply and prove the standard circle theorems

 

17 More algebra

Simplify surd expressions involving squares and   rationalise denominators

Simplify and manipulate expressions involving   algebraic fractions

Difference of 2 squares

Rearrange formulae

Solve quadratic equations algebraically by   factorising.

Autumn 2

18 Vectors and geometric proof

Addition and subtraction of vectors,   multiplication of vectors by a scalar; use vectors to construct geometric   arguments and proof
 

19 Proportion and graphs

Sketch translations and reflections of a given   function

Plot and interpret reciprocal graphs and   exponential graphs

Calculate or estimate gradients of graphs and   areas under graphs

Solve problems involving direct and inverse   proportion

Spring Preparation   for the GCSE Examinations
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