# Maths (including Further Maths)

###### Mathematics is diverse, engaging and essential in equipping pupils with the right skills to reach their future destination, whatever that may be. Our aim is to enable pupils to build a secure framework of mathematical reasoning, which they can use and apply with confidence.

Our maths curriculum allows pupils to develop fluent knowledge, skills and understanding of mathematical methods and concepts. They are able to acquire, select and apply mathematical techniques to solve problems and reason mathematically, making deductions and inferences, and drawing conclusions. We set challenging targets in conjunction with high expectations for all pupils; targets which we hope to achieve through a variety of teaching and learning practices to engage and motivate pupils.

##### Curriculum Overview
Year 7 Year 8 Year 9

Building number skills

• Place value
• Negatives
• Rounding
• Perimeter

Multiplication and division

• Multiplication
• Division
• Mean
• Powers and roots
• Factors and Multiples
• Area

Geometry

• Drawing, estimating and labelling angles
• Finding unknown angles
• Properties of 2D shapes and coordinates
• Proportionality and similarity

Fractions

• Equivalent fractions
• Fraction of a quantity
• Multiplying and dividing fractions

Algebra

• Directed numbers and order of operations.
• Simplifying, writing and substituting into expressions
• Equations.
• Sequences.
• Rearranging simple formulae

Applications

• Ratio 1
• Fraction, decimals and percentage equivalence.
• Finding percentages
• Transformations
• Charts – bars, pies and scatter

End of term Assessment

Number

• Indices
• Prime factorisation
• Rounding and estimating
• Fractions
• Percentages

Algebra

• Algebraic manipulation
• Expanding and factorisation
• Linear equations
• nth term of a linear sequence
• Plotting graphs

Geometry

• Construction
• Unknown angles including parallel lines
• Area of composite shapes
• Circumference of a circle.

DC3

Applications of number

• Percentage increase and decrease
• Ratio 2
• Proportionality
• Speed, distance and time

3D Geometry

• 3D Shapes
• Area of a circle
• Surface area and Volume
• Pythagoras Theorem

Statistics

• Probability
• Averages and Frequency tables
• Charts

End of term Assessment

Applied Number

• Types of numbers
• Index laws, standard form and surds
• Fractions and percentages

Probability and Ratio

• Probability
• Ratio 3

Algebra

• Solving linear equations
• Expanding and factorising
• Changing the subject of a formula

Geometry

• Angles in polygons
• Pythagoras theorem
• Right angled trigonometry
• Volume and surface area

Algebra

• Linear graphs
• Simultaneous equations

Geometry

• Transformations
• Vectors
• Averages

End of term Assessment

Year 10 Year 11

Number and Rates

• Ratio and Proportion
• Percentages
• Surds

Algebra

• Rearranging
• Algebraic fractions
• Simultaneous equations
• Linear graphs
• Inequalities

Statistics

• Conditional probability
• Averages. **
• Statistical diagrams

Non-Linear Algebra

• Non-linear graphs and sequences

Geometry

• Non-right angled trigonometry
• Vectors**

Geometry

• Similarity and congruence
• Circles
• Construction and loci
• Transformations.**

End of term Assessment

Geometry

• Non-right angled trigonometry and bearings
• Vectors.

Geometry

• Similarity and congruence
• Circles

Number

• Bounds
• Compound measures. (SDT/DMV)
• Functions and iteration

Algebra/Number

• Volume of spheres, cones, pyramids and frustums, hemispheres
• Proof
• Recurring decimals
• Scatter Graphs
• Construction and loci

GCSE revision

GCSE Preparation course

GCSE Exam Paper 1

GCSE Exam Paper 2

GCSE Exam Paper 3

##### AQA Level 2 Certificate in Further Mathematics

This qualification fills the gap for high achieving students by assessing their higher order mathematical skills, particularly in algebraic reasoning, in greater depth without infringing upon A Level mathematics, thus preparing them fully to maximise their potential in further studies at Level3. It offers the opportunity for stretch and challenge that builds on the Key Stage 4 curriculum and is intended as an additional qualification to the GCSE Mathematics, rather than as a replacement.

The content assumes prior knowledge of the Key Stage 3/4 Programme of Study and covers the areas of algebra and geometry, which are crucial to further study in the subject, in greater depth and breadth. This new qualification places an emphasis on higher order technical proficiency, rigorous argument and problem solving skills.

It also gives an introduction to calculus and matrices and develops further skills in trigonometry, functions and graphs.

The AQA Level 2 Certificate in Further Mathematics is an untiered Level 2 linear qualification for learners who either already have, or are expected to achieve, grades 7+ in GCSE mathematics are likely to progress to A-Level study in mathematics and possibly further mathematics.

Learning Journey

HT1: Number and Algebra I, Algebra II, Algebra IV

• Number system
• Simplifying algebraic expressions
• Solving linear equations
• Expanding brackets
• The binominal expansion
• Factorising
• The factor theorem
• Simplifying algebraic fractions
• Indices
• Algebraic proof

HT2: Geometry I, Geometry II

• Pythagoras theorem
• Trigonometry in 2D
• Trigonometric functions and graphs
• Trigonometric equations and identities
• SIN and COS rules
• Pythagoras theorem and trigonometry in 3D

HT3: Number I, Algebra II, Algebra IV

• Manipulating surds
• Solving quadratic equations using all three methods
• Solving linear and quadratic inequalities
• Simultaneous equations

HT4: Coordinate geometry, Calculus

• Parallel and perpendicular lines
• Equation of a straight line and quadratic function
• Equation of a circle
• The gradient of a curve
• Differentiation
• Tangent and normal
• Second derivative
• Stationary points.

HT5: Algebra III, Matrices

• Composite functions
• Inverse function
• Graphs of functions
• Multiplying matrices
• Transformation matrices
• The identity matrix

##### Assessment

At Key Stage 3, assessments take place at the end of each term.  At Key Stage 4, end of Yr10 exams take place in June/July and Yr11 mock exams take place in November.

##### Further Maths Assessment

Paper 1 written exam: 1 hour 45 minutes, 80 marks, non-calculator

Paper 2 written exam: 1 hour 45 minutes,80 marks, calculator

The AQA Level 2 Certificate in Further Mathematics qualification will be graded on a grade scale of 5 to 9.

KS4 Exam Board Specification: EdExcel GCSE Mathematics (1MA1)

##### Enrichment Offer

The Department offers subject-specific enrichment clubs and organises a range of educational visits throughout the year. Pupils are able to take part in school-wide competitions, as well as representing the Academy in local and national competitions designed to increase their engagement and enhance their subject knowledge. Intervention sessions to consolidate prior learning and ensure maximum progress are at the heart of our delivery model.