substitute numerical values into formulae and expressions use conventional notation for priority of operations, including brackets Understanding Risk Stage 4 5 Stage 6 7 Stage 8d Stage 8n Stage 9k Stage 10n relate relative expected apply systematic listing calculate the probability systematic listing frequencies to theoretical strategies of independent and strategies including use of probability, using appropriate record describe and analyse dependent combined the product rule for counting language and the 0 - 1 the frequency of outcomes events, including using calculate and interpret probability scale of probability experiments tree diagrams and other conditional probabilities record describe and analyse using frequency trees representations, and through representation the frequency of outcomes of enumerate sets and know the underlying expected frequencies with probability experiments using combinations of sets assumptions two-way tables, tree tables systematically, using tables, enumerate sets and diagrams and Venn diagrams. grids and Venn diagrams combinations of sets construct theoretical systematically, using tree construct theoretical possibility spaces for single diagrams experiments with equally possibility spaces for understand that empirical likely outcomes and use these combined experiments with unbiased samples tend to calculate theoretical equally likely outcomes and towards theoretical probabilities use these to calculate probability distributions, theoretical probabilities apply the property that the with increasing sample apply ideas of randomness, probabilities of an exhaustive size set of outcomes sum to one fairness and equally likely events to calculate expected outcomes of multiple future experiments Algebraic Proficiency: visualising Stage Stage 5 6 Stage 7 Stage 8m Stage 9i Stage 10k Stage 10p 4 plot graphs of equations that identify and interpret gradients and plot and interpret graphs use the form to = mx + c correspond to straight-line graphs intercepts of linear functions (including exponential graphs) identify perpendicular lines in the coordinate algebraically and graphs of non-standard functions in real contexts, to
substitute numerical values into formulae and expressions use conventional notation for priority of operations, including brackets Understanding Risk Stage 4 5 Stage 6 7 Stage 8d Stage 8n Stage 9k Stage 10n relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1 probability scale record describe and analyse the frequency of outcomes of probability experiments using tables construct theoretical possibility spaces for single experiments with equally likely outcomes and use these to calculate theoretical probabilities apply the property that the probabilities of an exhaustive set of outcomes sum to one apply systematic listing strategies record describe and analyse the frequency of outcomes of probability experiments using frequency trees enumerate sets and combinations of sets systematically, using tables, grids and Venn diagrams construct theoretical possibility spaces for combined experiments with equally likely outcomes and use these to calculate theoretical probabilities apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions enumerate sets and combinations of sets systematically, using tree diagrams understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size systematic listing strategies including use of the product rule for counting calculate and interpret conditional probabilities through representation expected frequencies with two-way tables, tree diagrams and Venn diagrams. Algebraic Proficiency: visualising Stage 4 Stage 5 6 Stage 7 Stage 8m Stage 9i Stage 10k Stage 10p plot graphs of equations that correspond to straight-line graphs in the coordinate identify and interpret gradients and intercepts of linear functions algebraically plot and interpret graphs (including exponential graphs) and graphs of non-standard functions in real contexts, to use the form = mx + c to identify perpendicular lines
Year-9-Curriculum-Guide-MASTER1.docx