## Curriculum: Key Stage 4

##### KS4 Curriculum Guide - Year 11 Maths H
Term 1Working in 3D, Pythagoras
3D solids, including plans and elevations. Volume and surface area of prisms, spheres, pyramids, cones, frustums and composite solids. Similar solids. Pythagoras' Theorem in 2D and 3D. Trigonometric ratios: SOHCAHTOA Exact trig values of sin, cos and tan of 30, 45 and 60 degrees. The Sine and Cosine rules. Area of a triangle = 1/2ab SinC Using Pythagoras' Theorem and trigonometry to solve 2D and 3D problems. Vectors and vector proofs. Circle theorems.
Assessment: Test on: Circle theorems, constructions & loci, Working in 3D. Pythagoras' Theorem, trigonometry and vectors Key Words and Terms

Term 2Calculations 2 (indices, standard form and surds) & Graphs 1
The gradient of a straight line. The equation of a straight line, y=mx+c. Parallel and perpendicular lines. Plotting quadratic functions, including roots and turning points. Solving quadratic inequalities. Distance-time graphs. Velocity-time graphs. Reciprocals. Rules of indices. Fractional and negative indices. Surds, including rationalising the denominator. Exact calculations. Standard form.
Assessment: GCSE Mock 1 Exam on all topics weeks beginning tbc. Paper 1(non-calculator) Paper 2(Calculator) Paper 3(Calculator)Key Words and Terms

Term 3Graphs 2, Probability and Venn diagrams
Cubic and reciprocal functions. Exponential and trigonometric functions. Distance-time graphs. Distance-velocity graphs. Gradients and area under a curve (Trapezium rule). Equation of a circle centre the origin. Transformations and reflections of a given function. Venn diagrams and set notation. Possibility space diagrams. Probability tree diagrams and conditional probability.
Assessment: Key Words and Terms

Term 4Gradients and the area under a curve, Sequences, Units & Proportionality
Gradients and the area under a curve. Interpreting the gradient and area under a curve. Arithmetic and geometric sequences. Quadratic sequences. Special sequences. Compound units (speed, density and pressure). Converting between units. Direct and inverse proportion. Rates of change. Growth and decay problems. Compound interest.
Assessment: GCSE Mock 2 Exam on all topics week beginning tbc. Paper 1(Non-calculator) Paper 2(Calculator) Paper 3(Calculator)Key Words and Terms