 New unit  


Assessment:  Key Words and Terms 

GCSE Revision & Preparation.  GCSE Revision & Preparation.  


Assessment:  Key Words and Terms 

Term 1  Surds, Pythagoras and Trigonometry, Constructions and Loci, Vectors, Circle Theorems  

Simplifying surds and rationalising the denominator of a fraction.
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 vectors
 Key Words and Terms 

Term 2  Calculations 2 (reciprocals, rules of indices and standard form), Graphs 1, Simultaneous Equations  

The gradient of a straight line.
The equation of a straight line, y=mx+c.
Parallel and perpendicular lines.
Solving simultaneous equations.
Plotting quadratic functions, including roots and turning points.
Completing the square.
Representing inequalities on a number line, representing inequalities as regions and solving quadratic inequalities.
Distancetime graphs.
Velocitytime 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(noncalculator)
Paper 2(Calculator)
Paper 3(Calculator)  Key Words and Terms 

Term 3  Graphs 2, Probability and Venn diagrams  

Cubic and reciprocal functions.
Exponential and trigonometric functions.
Distancetime graphs.
Distancevelocity 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 4  Gradients 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(Noncalculator)
Paper 2(Calculator)
Paper 3(Calculator)  Key Words and Terms 
