Search results

Result list

• VCMNA327

  Solve simple problems involving inverse proportion

  Elaborations

  • identifying inverse proportion in real life contexts such as exchange rates
  • modelling problems involving inverse proportion and solving related equations

  VCMNA327 | Mathematics | Level 10 | Number and Algebra | Real numbers

• VCMNA334

  Implement algorithms using data structures in a general-purpose programming language

  Elaborations

  • using two-dimensional arrays such as matrices to represent and implement sequences of transformations of sets of points in the plane
  • using pointers in algorithms

  VCMNA334 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMSP353

  Investigate and describe bivariate numerical data, including where the independent variable is time

  Elaborations

  • investigating biodiversity changes in Australia since European occupation
  • constructing and interpreting data displays representing bivariate data over time
  • constructing scatter-plots for two numerical variables and investigate trends such as water storage levels over time or weight and height distributions

  VCMSP353 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP348

  Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language

  Elaborations

  • using two-way tables and Venn diagrams to understand conditional statements
  • using arrays and tree diagrams to determine probabilities

  VCMSP348 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMSP347

  Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

  Elaborations

  • recognising that an event can be dependent on another event and that this will affect the way its probability is calculated

  VCMSP347 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMSP352

  Use scatter plots to investigate and comment on relationships between two numerical variables

  Elaborations

  • using authentic data to construct scatter plots, make comparisons and draw conclusions

  VCMSP352 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP351

  Compare shapes of box plots to corresponding histograms and dot plots and discuss the distribution of data

  Elaborations

  • investigating data in different ways to make comparisons and draw conclusions
  • using a dot plot, box-plot or histogram to construct a cumulative frequency distribution for a set of data

  VCMSP351 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP349

  Determine quartiles and interquartile range and investigate the effect of individual data values, including outliers on the interquartile range

  Elaborations

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets
  • exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data

  VCMSP349 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP354

  Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data

  Elaborations

  • investigating the use of statistics in reports regarding the growth of Australia's trade with other countries of the Asia region
  • evaluating statistical reports comparing the life expectancy of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP354 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation