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Grade The Lancashire Grid for Learning Webste年级学习网站兰开夏郡的网格
Grade A* skills are … Calculating bounds in area and volume questions Manipulating complex indices, including surds Solving simultaneous equations - one linear and one quadratic Using equation of a circle and finding points of intersection with a line Transforming graphs of trigonometrical functions Knowing graphs of exponential and more complex functions Manipulating algebraic fractions Rearranging complex equations Transforming graphical functions, e.g. y = f(x+a); y = f(ax) Solving 3D trigonometry problems Using the sine and cosine rule Mensuration in 3D solids and 2D shapes Knowing proofs of circle theorems Knowing proofs of construction theorems Grade A skills are … Rationlising surds Calculating upper and lower bounds Manipulating fractional indices Rearranging formulae where the variable occurs twice Manipulating simple algebraic fractions, e.g. + - Solving algebraic problems, e.g. explain why (n+1)(n+20) is an even number Solving quadratics by factorising, formula or completing the square Solving equations graphically Recognising the difference of two squares Simplifying algebra involving powers Calculating equation of line through a point and perpendicular to a given line Finding trigonometrical solutions, e.g. cosx = 0?5 Recognising graphs of trigonometrical functions Using the sine and cosine rule in simple cases Calculating surface area or volume of various solids Solving problems involving arcs, sectors and segments Using Pythagoras’ Theorem in 3D situations Using similarity in length, area and volume Calculating the distance between points using 3D co-ordinates Proving that triangles are congruent Using circle theorems Carrying out an enlargement with a negative fractional scale factor Using the fact that the area of triangle = ?absinC Constructing and interpreting histograms Understand stratified sampling Find probability for combined events using multiplication and addition Grade B skills are … Calculating compound interest Calculating reverse
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