age14to16.html

In Year 10 preparation for sitting the GCSE examination begins. Students sit one of three levels of exam depending on ability: Foundation, Intermediate or Higher. If the Foundation tier is taken, grades G to D are possible If the Intermediate tier is taken, grades E to B are possible If the Higher tier is taken, grades C to A* are possible The additional work done for each of the 3 tiers is as follows: Foundation Level: Transformations: Rotation by specified angle and direction, Reflection in specified line, Translation by specified direction, Enlargement by specified scale factor and centre Perform basic constructions Calculate surface area of simple 3D shapes Data collection techniques Pie charts, line graphs, scatter graphs, frequency diagrams, stem and leaf diagrams Intermediate Level: Fractional and negative indices: mental and calculator Standard Index form: mental and calculator Percentage: compound and simple interest, find original amount after percentage increase or decrease Surds Expanding double brackets, factorising simple expressions and quadratics Solving linear equations with fractional coefficients and fractional and negative solutions Solve more than one linear inequaliity and express graphically Find approximate solutions to a quadratic function through its graph Plotting and recognizing the graphs of cubic and reciprocal functions Constructing Loci Circle: sector and segment, angle theorems: radius meets tangent at 90, angle in semi circle is 90, equal tangents, perpedicular chord bisector, same segment, angle at centre, cyclic quadrilateral, alternate segment Surface areas of further prisms, e.g. cylinder Use fractional scale factors in enlargement Analyse formulae by considering dimensions specified Density, mass and volume calculations Cumulative frequency tables, diagrams and box plots, find median and interquartile range Moving averages Use tree diagrams for calculating probabilities Higher Level: Inverse proportion Rationalise a denominator Find upper and lower bounds in calculations Solving quadratic equations by completing the square and use of the formula Solving a pair of simultaneous equations, one linear, one quadratic or circular by algebraic and graphical means Plot exponential, circular, sin x and cos x functions Apply the tranformations, translation, reflection and stretch to linear, quadratic, sine and cosine functions Use Pythagoras and trigonometry in 3D problems Problem solving involving pyramids, spheres and cones including segments of circles and frustums of cones Transformations using negative scale factors Solve problems involving the effects of enlargements on 2D and 3D shapes Use trigonometry for problems involving non-right angles triangles, including finding the area Calculate and represent graphically the sum and difference of two vectors, also the scalar multiple of a vector Solve 2D problems using vectors Problems involving arcs and sectors of circles Data sampling methods Histograms

Age: 14 to 16 (Years 10 and 11)

`Age: 14 to 16 (Years 10 and 11)`