Shape, Space and Measures 18
Handling Data 14
What all should know
solve geometrical problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text; classify quadrilaterals by their geometric properties.
Know and use geometric properties of cuboids and shapes made from cuboids.
Make simple scale drawings.
Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids.
What most should know
Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons, justifying inferences and explaining reasoning with diagrams and text.
Visualise and use 2-D representations of 3-D objects; analyse 3-D shapes through 2-D projections, including plans and elevations.
Use and interpret maps and scale drawings.
Calculate the surface area and volume of right prisms.
Present a concise, reasoned argument, using symbols, diagrams and related explanatory text; give solutions to problems to an appropriate degree of accuracy.
What some should know
Understand and apply Pythagoras theorem.
Calculate lengths, areas and volumes in right prisms, including cylinders.
Begin to use sine, cosine and tangent in right-angled triangles to solve problems in two dimensions.
Recognise limitations on the accuracy of measurements.
Know that if the probability of an event occurring is p, then the probability of it not occurring is 1 p; find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way, using diagrams and tables.
Understand that:
-if an experiment is repeated there may be, and usually will be, different outcomes;
-increasing the number of times an experiment is repeated generally leads to better estimates of probability.
Use the vocabulary of probability in interpreting results involving uncertainty and prediction.
Identify all the mutually exclusive outcomes of an experiment; know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems.
Estimate probabilities from experimental data.
Compare experimental and theoretical probabilities in a range of contexts; appreciate the difference between mathematical explanation and experimental evidence.
Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments.