CURRICULUM AREA Mathematics: Statistics and Probability toward Level 7 Achievement Standard – VCAA EXAMPLE Context: Students cover related content and proficiencies when they engage in learning activities where they: investigate the robustness of mean, median, mode and range with respect to changes in some values of a data set analyse data (steps, heart-rate, sleep patterns) from a personal fitness device calculate mean, median and mode for a range of data sets and compare their location in terms of the shape of the distribution of the data work backwards from mean, range and shape of distribution to identifying source data sets, such as from summary weather data for world capital cities to identification of likely city use various experiments involving spinners, dice and other random devices to specify sample spaces for simple one-step experiments, and calculate corresponding probabilities as fractions, decimals and percentages, for cases involving equally likely outcomes and also some cases involving non-equally likely outcomes . Content Descriptions: Construct sample spaces for single-step experiments with equally likely outcomes Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data Mathematics Level 6 Achievement Standard Example of Indicative Progress toward Level 7 Achievement Standard Mathematics Level 7 Achievement Standard By the end of Level 6: In Mathematics, indicative progression towards the Level 7 achievement By the end of Level 7: standard may be when students: Students interpret and compare a variety of data Students identify issues involving the collection of displays, including displays for two categorical discrete and continuous data from primary and write down the sample space for simple one-step experiments such as variables. secondary sources. spinning a spinner in a game with different coloured segments They analyse and evaluate data from secondary They construct stem-and-leaf plots and dot-plots. corresponding to outcomes sources. Students identify or calculate mean, mode, Students compare observed and expected median and range for data sets, using digital calculate mean, median and mode of like distributions, and describe frequencies of events, including those where technology for larger data sets. and compare these distributions, such as resting and exercise outcomes of trials are generated with the use of They describe the relationship between the for a given cohort of students digital technology. median and mean in data displays. They specify, list and communicate probabilities of Students determine the sample space for simple events using simple ratios, fractions, decimals and experiments with equally likely outcomes, and percentages. assign probabilities outcomes.
CURRICULUM AREA – Mathematics: Statistics and Probability toward Level 7 Achievement Standard VCAA EXAMPLE Context: Students cover related content and proficiencies when they engage in learning activities where they: investigate the robustness of mean, median, mode and range with respect to changes in some values of a data set analyse data (steps, heart-rate, sleep patterns) from a personal fitness device calculate mean, median and mode for a range of data sets and compare their location in terms of the shape of the distribution of the data work backwards from mean, range and shape of distribution to identifying source data sets, such as from summary weather data for world capital cities to identification of likely city use various experiments involving spinners, dice and other random devices to specify sample spaces for simple one-step experiments, and calculate corresponding probabilities as fractions, decimals and percentages, for cases involving equally likely outcomes and also some cases involving non-equally likely outcomes . Content Descriptions: Construct sample spaces for single-step experiments with equally likely outcomes Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data Mathematics Level 6 Achievement Standard Example of Indicative Progress toward Level 7 Achievement Standard Mathematics Level 7 Achievement Standard By the end of Level 6: Students interpret and compare a variety of data displays, including displays for two categorical variables. They analyse and evaluate data from secondary sources. Students compare observed and expected frequencies of events, including those where outcomes of trials are generated with the use of digital technology. They specify, list and communicate probabilities of events using simple ratios, fractions, decimals and percentages. In Mathematics, indicative progression towards the Level 7 achievement standard may be when students: write down the sample space for simple one-step experiments such as spinning a spinner in a game with different coloured segments corresponding to outcomes calculate mean, median and mode of like distributions, and describe and compare these distributions, such as resting and exercise for a given cohort of students By the end of Level 7: Students identify issues involving the collection of discrete and continuous data from primary and secondary sources. They construct stem-and-leaf plots and dot-plots. Students identify or calculate mean, mode, median and range for data sets, using digital technology for larger data sets. They describe the relationship between the median and mean in data displays. Students determine the sample space for simple experiments with equally likely outcomes, and assign probabilities outcomes.
7-10%20Mathematics%20StatisticsProbability%20Indicative%20Progress%20Examples.docx