Straight Lines Draw a diagram Y – y coordinate = gradient ( x – x coordinate) Gradient of Perpendicular lines x to -1 Intersect lines = solve the 2 lines as simultaneous equations

Surds Rationalise by x top and bottom by √11 – 2 Treat like eyebrows and smiley face 25x2 X top and bottom by √2

Differentiation I Move power up to top as a negative Square root is power 1/2

Differentiation II Get dy/dx This gives tangent gradient Turn upside down and change sign for normal gradient Equation of line y – y coord = gradient (x – x coord)

Differentiation III Get dy/dx Solve dy/dx=0 to get stationary points Use x values in y= formula to get y values Use d2y/dx2 to decide max or min

Binomial Expansion Use formula booklet for ( a + b ) n if you know n to find n Watch out for powers of eg 3x So 6 x (3X)2 = 6 x 9X2 = 54 X2

Factor and Remainder Theorem Use x = -3, put equal to -39 If x = -3 gives zero, x + 3 would be a factor Get one factor, then use long division

Roots of a quadratic Write down a, b and c then use the above facts Solve inequalities like quadratic equations

Completing the square Half and square

Transforming graphs