Handling Data 12
Shape, Space and Measures 17
What all should know
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.
What most should know
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.
timate probabilities from experimental data.
Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.
What some should know
Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments.
Identify all the symmetries of 2-D shapes.
Understand and use the language and notation associated with enlargement.
Make simple scale drawings.
Consolidate understanding of the relationship between ratio and proportion; reduce a ratio to its simplest form, including a ratio expressed in different units.
Distinguish between conventions, definitions and derived properties.
Understand congruence.
Transform 2-D shapes by combinations of translations, rotations and reflections, on paper and using ICT; know that translations, rotations and reflections preserve length and angle and map objects on to congruent images; identify reflection symmetry in 3-D shapes.
Enlarge 2-D shapes, given a centre of enlargement and a whole-number scale factor, on paper and using ICT; identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments; recognise that enlargements preserve angle but not length, and understand the implications of enlargement for perimeter.
Use and interpret maps and scales drawings.
Use proportional reasoning to solve a problem; interpret and use ratio in a range of contexts.
Distinguish between practical demonstration and proof; know underlying assumptions, recognising their importance and limitations, and the effect of varying them. Apply the conditions SSS, SAS, ASA or RHS to establish the congruence of triangles. Know that if two 2-D shapes are similar, corresponding angles are equal and corresponding sides are in the same ratio. Enlarge 2-D shapes, given a fractional scale factor; recognise the similarity of the resulting shapes; understand the implications of enlargement for area and volume. Begin to use sine, cosine and tangent in right-angled triangles to solve problems in two dimensions.