Tell me everything you can about this relationship: Polynomials 1 Tell me everything you can about this relationship: State where crosses x axis Expand & complete the square State where crosses y axis Find expression for gradient Find coordinates where gradient is zero State x value for which graph is a maximum Draw a good sketch of the graph Polynomials 2 Tell me everything you can about this relationship: State where crosses y axis Factorise (using factor theorem?) State where crosses x axis Find expression for gradient Find coordinates where gradient is zero Draw a good sketch of the graph

Problem Solving 1 Problem Solving 2 A rectangular pen is formed from 40m of fencing with a long wall forming one side of the pen, as shown in the diagram; Wall Cattle pen x x The two opposite sides of the pen which touch the wall and each have length x metres. What is the maximum area that can be enclosed? Find, in terms of x, an expression for the length of the other two sides Find an expression, in terms of x, for the area of the pen Differentiate the expression for the area of the pen Find the x value for which the area of the pen is a maximum (ie gradient = 0) Use the x value of the max area of the pen to answer the question Problem Solving 2 An open cubiodal tank of height h metres is to be made with a square base of length x metres and breadth x metres, as shown in the diagram; The external surface area of the tank is to be 48m2. What is the maximum volume that can be held? Find, in terms of x, an expression for the height, h, of the tank Find an expression, in terms of x, for the volume of the tank Differentiate the expression for the volume of the tank Find the x value for which the volume of the tank is a maximum (ie gradient = 0) Use the x value of the max volume of the tank to answer the question

(+3, -6) and (5, +4) (-14, +1) and (-2, -4) Coordinates 1 Tell me everything that you can about the line segment that joins this pair of coordinates; (+3, -6) and (5, +4) Find the length of the line segment (distance between the two points) Find the gradient of line segment Find the equation of line Find the midpoint of line segment Coordinates 2 Tell me everything that you can about the line segment that joins this pair of coordinates; (-14, +1) and (-2, -4) Find the length of the line segment (distance between the two points) Find the gradient of line segment Find the equation of line Find the midpoint of line segment