The study of Mathematics is regarded by most people as being essential in order to cope with the demands of everyday life. Our mathematics department provides an environment where students develop to become excellent users of mathematics and mathematical application. Moreover, our department contributes to the nurturing of students as mathematical thinkers, enabling them to become lifelong learners, to continue to grow in their chosen professions, and to function as productive citizens. Students grow in their learning to: recognise that mathematics permeates the world around us; appreciate the usefulness, power, and beauty of mathematics; enjoy mathematics and develop patience and persistence when solving problems.All pupils are encouraged to reach their potential through a variety of teaching and learning approaches ranging from mental strategies, investigation and practical work to computer and calculator methods as well as the more traditional classroom methods. We aim to help our pupils to develop their confidence in a range of mathematical skills and to use logic at all times in how they solve mathematical problems. Gunnersbury mathematicians enjoy the subject’s challenge and appreciate its fundamental importance and beauty.
At least 5 GCSE passes (including English and Mathematics) at Grade 4 or higher Grade 7 in GCSE Maths.
Year 12 HALF TERM 1 • Expand brackets (single, double, triple) • Collect like terms • Factorise linear, quadratic and simple cubic expressions • Laws of indices • Rules of surds • rationalise • solve quadratics • factorise • complete the square • quadratic formula • curve sketching • turning point • discriminant • modelling quadratics • simultaneous equations, linear and quadratics • inequalities, linear and quadratics HALF TERM 2 • sketch cubic, quartic, reciprocal • solve equations • translate, stretch, transform graphs • gradient • y = mx + c • points of intersection • parallel and perpendicular gradients • length and area problems • modelling HALF TERM 3 • midpoint • perpendicular bisector • equation of a circle • straight lines and circles • circle properties • angle in a semicircle • algebraic fractions • algebraic long division • algebraic proof • proof by exhaustion and disproof by counterexample • Pascal’s triangle • combinations and factorial notation • binomial expansion • approximations using the binomial expansion • cosine rule • sine rule • area of a triangle • graphs of the sine, cosine and tangent functions • Sketch simple transformations of these graphs HALF TERM 4 • Sin, cos, tan • exact trigonometric ratios for 30°, 45° and 60° • relationships tan θ = sinθ/cos θ and sin2θ + cos2θ = 1 • Solve simple trigonometric equations • sin (θ +- α) = k • 2D vectors • Column vectors • Magnitude and direction • Position vectors • Vector problems • vectors in speedand distance calculations • f’(x) or dy/dx • gradients, tangents and normal • increasing and decreasing functions • f ‘’(x) or d 2y/dx2 • stationary points • gradient function • modelling HALF TERM 5 • integrate term by term • definite integrals • bounded area • sketch and transform y = ax , y = ex • Differentiate ekx • laws of logarithms • solve equations using logs • natural logs • modelling Year 13 HALF TERM 1 • proof by contradiction • add, subtract, times, divide algebraic fractions • partial fractions with linear factors, repeated factors in denominator • algebraic long division • improper fractions • modulus function • mappings and functions • domain and range • composite function • inverse of a function • graphs of the modulus function 𝑦 = |𝑓(𝑥)| and 𝑦 = 𝑓(|𝑥|) • two (or more) transformations to the same curve • N-th term of an arithmetic and geometric • Sn • Sum to infinity • sigma notation • recurrence relations • Model HALF TERM 2 • (1 + 𝑥) 𝑛 • (𝑎 +𝑏𝑥) 𝑛 • Use partial fractions • Use radians, with trig graphs and their transformations • Exact values eg 30 = 𝜋 6 • Arc length • Sector area • Solve trig equations with radians • Trig approximations when Ɵ is small • Use sec, cosec, cot, and their graphs • Prove identities with sec, cosec, cot • Prove and use sec2 𝑥 ≡ 1 + tan2 𝑥 and cosec2 𝑥 ≡ 1 +cot2 𝑥 • inverse trigonometric functions and their domain and ranges • addition formulae • double-angle formulae • Solve trigonometric equations using the doubleangle and addition formulae • 𝑅 cos(𝜃 ±𝑎), 𝑅 sin(𝜃 ± 𝑎) • Prove trigonometric identities • Use trigonometric functions to model real-life situations HALF TERM 3 • parametric equations into Cartesian • parametric equations into Cartesian form using trigonometric identities • use parametric equations of curves • sketch parametric curves • Solve coordinate geometry problems • modelling Differentiation of/using • trigonometric functions • exponentials and logarithms • using the chain, product and quotient rules • parametric equations • implicit • second derivative connected rates of change differential equations HALF TERM 4 • Locate roots • Iteration • Newton Raphson • Numerical methods Integrate: • Trig functions • Exponentials • Using reverse chain rule • Using trig identities • By substitution • By parts • Using partial fractions • To find area under a curve Trapezium rule Solve differential equations, and model • 3D coordinates • Vectors in 3D • Solve problems with vectors • 3D motion
About Education Provider
| Region | London |
| Local Authority | Hounslow |
| Ofsted Rating | Outstanding |
| Gender Type | Boys |
| Address | The Ride, Boston Manor Road, Brentford, TW8 9LB |
The study of Mathematics is regarded by most people as being essential in order to cope with the demands of everyday life. Our mathematics department provides an environment where students develop to become excellent users of mathematics and mathematical application. Moreover, our department contributes to the nurturing of students as mathematical thinkers, enabling them to become lifelong learners, to continue to grow in their chosen professions, and to function as productive citizens. Students grow in their learning to: recognise that mathematics permeates the world around us; appreciate the usefulness, power, and beauty of mathematics; enjoy mathematics and develop patience and persistence when solving problems.All pupils are encouraged to reach their potential through a variety of teaching and learning approaches ranging from mental strategies, investigation and practical work to computer and calculator methods as well as the more traditional classroom methods. We aim to help our pupils to develop their confidence in a range of mathematical skills and to use logic at all times in how they solve mathematical problems. Gunnersbury mathematicians enjoy the subject’s challenge and appreciate its fundamental importance and beauty.
At least 5 GCSE passes (including English and Mathematics) at Grade 4 or higher Grade 7 in GCSE Maths.
Year 12 HALF TERM 1 • Expand brackets (single, double, triple) • Collect like terms • Factorise linear, quadratic and simple cubic expressions • Laws of indices • Rules of surds • rationalise • solve quadratics • factorise • complete the square • quadratic formula • curve sketching • turning point • discriminant • modelling quadratics • simultaneous equations, linear and quadratics • inequalities, linear and quadratics HALF TERM 2 • sketch cubic, quartic, reciprocal • solve equations • translate, stretch, transform graphs • gradient • y = mx + c • points of intersection • parallel and perpendicular gradients • length and area problems • modelling HALF TERM 3 • midpoint • perpendicular bisector • equation of a circle • straight lines and circles • circle properties • angle in a semicircle • algebraic fractions • algebraic long division • algebraic proof • proof by exhaustion and disproof by counterexample • Pascal’s triangle • combinations and factorial notation • binomial expansion • approximations using the binomial expansion • cosine rule • sine rule • area of a triangle • graphs of the sine, cosine and tangent functions • Sketch simple transformations of these graphs HALF TERM 4 • Sin, cos, tan • exact trigonometric ratios for 30°, 45° and 60° • relationships tan θ = sinθ/cos θ and sin2θ + cos2θ = 1 • Solve simple trigonometric equations • sin (θ +- α) = k • 2D vectors • Column vectors • Magnitude and direction • Position vectors • Vector problems • vectors in speedand distance calculations • f’(x) or dy/dx • gradients, tangents and normal • increasing and decreasing functions • f ‘’(x) or d 2y/dx2 • stationary points • gradient function • modelling HALF TERM 5 • integrate term by term • definite integrals • bounded area • sketch and transform y = ax , y = ex • Differentiate ekx • laws of logarithms • solve equations using logs • natural logs • modelling Year 13 HALF TERM 1 • proof by contradiction • add, subtract, times, divide algebraic fractions • partial fractions with linear factors, repeated factors in denominator • algebraic long division • improper fractions • modulus function • mappings and functions • domain and range • composite function • inverse of a function • graphs of the modulus function 𝑦 = |𝑓(𝑥)| and 𝑦 = 𝑓(|𝑥|) • two (or more) transformations to the same curve • N-th term of an arithmetic and geometric • Sn • Sum to infinity • sigma notation • recurrence relations • Model HALF TERM 2 • (1 + 𝑥) 𝑛 • (𝑎 +𝑏𝑥) 𝑛 • Use partial fractions • Use radians, with trig graphs and their transformations • Exact values eg 30 = 𝜋 6 • Arc length • Sector area • Solve trig equations with radians • Trig approximations when Ɵ is small • Use sec, cosec, cot, and their graphs • Prove identities with sec, cosec, cot • Prove and use sec2 𝑥 ≡ 1 + tan2 𝑥 and cosec2 𝑥 ≡ 1 +cot2 𝑥 • inverse trigonometric functions and their domain and ranges • addition formulae • double-angle formulae • Solve trigonometric equations using the doubleangle and addition formulae • 𝑅 cos(𝜃 ±𝑎), 𝑅 sin(𝜃 ± 𝑎) • Prove trigonometric identities • Use trigonometric functions to model real-life situations HALF TERM 3 • parametric equations into Cartesian • parametric equations into Cartesian form using trigonometric identities • use parametric equations of curves • sketch parametric curves • Solve coordinate geometry problems • modelling Differentiation of/using • trigonometric functions • exponentials and logarithms • using the chain, product and quotient rules • parametric equations • implicit • second derivative connected rates of change differential equations HALF TERM 4 • Locate roots • Iteration • Newton Raphson • Numerical methods Integrate: • Trig functions • Exponentials • Using reverse chain rule • Using trig identities • By substitution • By parts • Using partial fractions • To find area under a curve Trapezium rule Solve differential equations, and model • 3D coordinates • Vectors in 3D • Solve problems with vectors • 3D motion
