– Define sets by listing and describing and by using set builder notation. – Use sets and Venn diagrams to solve problems involving not more than three subsets of the universal set

– Calculate the distance between two points given in coordinate form, the gradient of the line-segment joining them, and the coordinates of their midpoint
– Find the equation of a straight line given sufficient information (e.g. the coordinates of two points on it or one point on it and its gradient)
– interpret and use equations of the form ax+by+c=0, including knowledge of the relationships involving gradients of parallel and perpendicular lines
– apply coordinate geometry to quadrilaterals

– Apply Pythagoras‟ theorem
– Apply the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right-angled triangle
– Solve trigonometrical problems in two dimensions involving angles of elevation and depression
– Solve simple trigonometrical problems in three dimensions including angle between a line and a plane
– Extend trigonometrical ratios to angles between 90° and 360°
– Solve problems using sine and cosine rules for any triangle and the formula: area of triangle = 1/2absinC

– Interpret and use three-figure bearings measured clockwise from the north (i.e. 000° – 360°)

– Represent information in the form of a matrix of any order and interpret the data in a given matrix
– Calculate the product of a scalar quantity and a matrix
– Solve problems involving the calculation of the sum and difference of any matrices not exceeding 3 × 3 and product of matrices not exceeding 2 × 2
– Use the zero and identity matrix
– Calculate the determinant and inverse of a non-singular 2 × 2 matrix
– Solve simultaneous linear equations by matrix method

– Represent vectors by directed line segment
– Use standard notations for vectors
– Add and subtract vectors
– Multiply a vector by a scalar and interpret these relationships in geometrical terms
– Calculate the magnitude of a vector
– Use position vectors

– Reflect simple plane figures in horizontal and vertical lines
– Rotate simple plane figures about any point, through multiples of 90°
– Construct given translations, and enlargements
– Recognise and describe fully, reflections, rotations, translations and enlargements
– Use the following transformations of the plane: reflection, rotation, translation and enlargement and their combinations