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MATHS & FURTHER MATHS
Prepare for Year 12 by:
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The transition from GCSE maths to A level maths can be a challenging one. In order to succeed in A level maths, you will require some of the skills learnt during your GCSE maths course.
To help you prepare, you should revise the following topics:
Laws of indices Straight line graphs Equation of a line, (parallel and perpendicular lines) Equation of a circle Functions Iteration Rates of change Kinematics graphs Coordinate geometry: midpoint, gradient and length of a line segment Algebraic fractions Manipulating algebraic expressions Surds Changing the subject of the formula Linear equations, inequalities and simultaneous equations Solving quadratic equations Completing the square of a quadratic expression Factorising a quadratic expression Graphs - sketch and recognise common graphs Transformation of graphs Trigonometry Vectors Statistics Probability
If you are not sure of any topic, use a GCSE textbook for reference or look at:
www.kerboodle.com www.mathswatchvle.com www.mrbartonmaths.com/alevel.htm www.waldomaths.com/edexasa2/edexc1.jsp www.corbettmaths.com www.mathsgenie.co.uk
MATHS & FURTHER MATHS
Summer holiday task:
Please use Maths Watch or any maths revision websites to improve your understanding of the following GCSE topics in order to ease transition to Mathematics/ Further Mathematics in the Sixth Form.
Statistics
• Histograms • Averages from tables • Quartiles (upper, lower, IQR) • Probability
Number
• Surds –calculating with surds and rationalising denominator • Laws ofindices • Calculating with fractions
Algebra
• Solving simple equations • Simultaneous equations • Factorising quadratics • Completing the square • Solving quadratic equations (by factorising and using formula) • Equation ofa straight line/parallel lines/perpendicular lines
Shape
• Trigonometry (in a right angle triangle and a non-right angle triangle) • Vectors
Please complete the Number and Algebra tasks on page 18 and hand them in September to your Maths teacher
MATHS & FURTHER MATHS
Summer holiday task: Number & Algebra 1
Number & Algebra 2