Transformations Ratio Laws of Indices Expanding Single Brackets

Transformations Ratio Laws of Indices Expanding Single Brackets Quadratic Sequences 3(x+2) + 2(x+4) = 3 x+6+2 x+8 = 5 x + 14 Halve this number to get the a value Standard Form 2. 34 x 104 = 23400 1. 7 x 10 -3 = 0. 0017 (2 x 105 ) x (3 x 103) = 6 x 108 (8 x 107 ) ÷ (2 x 102) = 4 x 105 52. 6 x 107 = 5. 26 x 106 Percentages Inequalities Expanding Double Brackets (x+2)(x+4) = x 2 + 4 x + 2 x + 8 = x 2 + 6 x + 8 Factorising Quadratics x 2 + 6 x + 8 Find two numbers which multiply together to give +8 and add together to give +6 i. e. 4 x 2=8 and 4+2=6 (x+4)(x+2) Gradients Solving Quadratics Compound Interest x 2 + 7 x + 12 = 0 (x+4)(x+3) = 0 x=-4 x=-3 Quadratic Formula Fractions Completing the Square x 2 + 8 x + 3 Halve the b value (x+4)2 - 42+ 3 (x+4)2 – 16 + 3 (x+4)2 - 13 Simultaneous Equations 3 x + 2 y = 9 x+y=4 x 2 Rule: Signs are same takeaway Signs different add 3 x + 2 y = 9 2 x + 2 y = 8 Take away x=1 y=3 Midpoints

Trigonometric Ratios Cosine Rule Circle Parts Circle Theorems Angle at the centre is twice the angle at the circumference 2 D Shapes Circles Angles in the same segment are equal A tangent is perpendicular to the radius of a circle Alternate Segment Theorem. The length of two tangents from a point are equal Solids Volume and Surface Area of Similar Solids Pythagoras Mean from a table Sine Rule Tree Diagrams Frequency trees