**A/1**Use fractional and negative indices

**A/2**Manipulate simple surds

**A/3**Rationalise a denominator

**A/4**Manipulate & simplify expressions in surds

- http://www.khanacademy.org/math/algebra/exponents-radicals/e/simplifying_radicals
- http://www.khanacademy.org/math/algebra/exponents-radicals/e/adding_and_subtracting_radicals
- http://www.khanacademy.org/math/algebra/exponents-radicals/e/multiplying_radicals

**A/5**Determine the bounds of intervals Find the upper and lower bounds of more complex calculations

**A/6**Understand and use direct and inverse proportion

**A/7**Combine algebraic fractions (all 4 operations) including solving equations Simplify algebraic fractions by factorising and cancelling

**A/8**Solve quadratic equations by factorisation or by using the quadratic formula (a =1) More complex cases (a ≠1)

- http://www.khanacademy.org/math/algebra/quadtratics/e/solving_quadratics_by_factoring
- http://www.khanacademy.org/math/algebra/quadtratics/e/solving_quadratics_by_factoring_2
- http://www.khanacademy.org/math/algebra/quadtratics/e/quadratic_equation

**A/9**Complete the square to solve quadratic equations; to find maximum & minimum values

- http://www.khanacademy.org/math/algebra/quadtratics/e/completing_the_square_1
- http://www.khanacademy.org/math/algebra/quadtratics/e/completing_the_square_2

**A/10**Solve a pair of simultaneous equations, one linear and one quadratic

**A/11**Derive & use more complex formulae; change the subject (inc .subject occurs twice)

**A/12**Know & understand the intersection points of the graphs of linear and quadratic functions are the approximate solutions to the corresponding simultaneous equations

**A/13**Transform graphs linear, quadratic, cubic, sine & cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f(ax) and y = af(x)

**A/14**Enlarge a shape by a negative scale factor

**A/15**Understand and use SSS, SAS, ASA, RHS conditions to prove triangles congruent

**A/16**Find the volume & area of similar solids Solve related problems

**A/17**Understand & use Pythagoras Theorem to solve 3D problems

**A/18**Use the Sine and Cosine Rules in triangles that are not right angled

**A/19**Use the formula A = ½ absinC to find the area of any triangle

**A/20**Draw, sketch & describe the graphs of trigonometric functions for angles of any size Including scaling in either or both x and y directions

**A/21**Solve problems involving SA & volume of cylinders, pyramids, cones & spheres Solve problems involving the volume of the frustum of a truncated cone

**A/22**Understand & use the formulae for length of arcs and area & perimeter of sectors

**A/23**Know & use circle properties including alternate segment theorem

**A/24**Solve problems in 2D using vectors, inc use of commutative & associative properties of vector addition

**A/25**Select and justify a sampling scheme

**A/26**Use, interpret & compare histograms including those with unequal class intervals

**A/27**Recognise when & how to work with probabilities associated with independent & mutually exclusive events

**A/28**Draw & use tree diagrams to calculate probabilities of successive dependent events