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Factorising Quadratics Why is factorising quadratics useful? Factorising gives roots (zeroes or solutions) of a quadratic It gives the x-intercepts when drawing the graph How do I factorise a monic...
Quadratic Functions & Graphs What are the key features of quadratic graphs? If a is positive then the vertex is the minimum point If a is negative then the vertex is the maximum point Wh...
How do I find the gradient of a straight line? Find two points that the line passes through with coordinates (x1, y1) and (x2, y2) The gradient between these two points is calculated by This is giv...
Binomial Theorem What is the Binomial Theorem? The binomial theorem (sometimes known as the binomial expansion) gives a method for expanding a two-term expression in a bracket raised to a power A b...
Language of Proof What is proof? Proof is a series of logical steps which show a result is true for all specified numbers ‘Seeing’ that a result works for a few numbers is not enough to show that ...
Compound Interest What is compound interest? Interest is a small percentage paid by a bank or company that is added on to an initial investment Interest can also refer to an amount paid on a loan o...
Many real-life situations can be modelled using sequences and series, including but not limited to: patterns made when tiling floors; seating people around a table; the rate of change of a populati...
Geometric Sequences What is a geometric sequence? In a geometric sequence, there is a common ratio, r, between consecutive terms in the sequence For example, 2, 6, 18, 54, 162, … is a sequence with...
Arithmetic Sequences What is an arithmetic sequence? In an arithmetic sequence, the difference between consecutive terms in the sequence is constant This constant difference is known as the common ...
