What the teacher knows about Pupil V's attainment in shape, space and measures
Pupil V uses Pythagoras’ theorem to solve problems in two and three dimensions. He draws on a wide range of geometrical knowledge to solve multi-step problems in different shape contexts, for example areas and surface areas of plane shapes and solids. When working in three dimensions he visualises the situation and draws 2-D projections to help solve the problem. In the unit on mensuration of shapes, Pupil V independently reasoned that the length of the curved side of the rectangle was equal to the circumference of the circle and used this to derive a formula for finding the surface area of any cylinder.
Pupil V understands scale factors and similarity. He links his knowledge of enlargement to real situations. He worked with a small group to investigate the proportions of metric paper sizes and confirmed by measurement that all the standard sizes are enlargements of each other.
Pupil V uses units accurately. In the unit using formulae from other subjects he explained why metres per second and miles per hour are both units for speed by referring to the standard formula. He also understands other compound measures such as density and links them with the concept of direct proportion.