## Curriculum: Key Stage 4

##### KS4 Curriculum Guide - Year 11 Maths H
Term 1Surds, Pythagoras and Trigonometry, Constructions and Loci, Vectors, Circle Theorems
Simplifying surds and rationalising the denominator. 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. Ruler and compass constructions. Solving problems involving loci. Vectors and vector proofs. Circle theorems.
Assessment: Test on: Circle theorems, constructions & loci, Working in 3D. Pythagoras' Theorem, trigonometry and vectorsKey Words and Terms

Term 2Calculations 2 (reciprocals, rules of indices & standard form) & 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. Completing the square. Solving simultaneous equations. Solving quadratic inequalities and representing inequalities as regions. Distance-time graphs. Velocity-time graphs. Reciprocals. Rules of indices. Fractional and negative indices. 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, Iterative Methods, 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. Approximate solutions and iterative methods. 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

Term 5GCSE revision and preparation
GCSE revision and preparation
Assessment: GCSE exam Paper 1 (non-calculator)Key Words and Terms

Term 6GCSE revision and preparation
GCSE revision and preparation
Assessment: GCSE exam Paper 2 (calculator) Paper 3 (calculator)Key Words and Terms