Measurement and Geometry application to solving simple problems involving obtained to estimate population means and right angled triangles medians Using units of measurement Use similarity to investigate the constancy of Data representation and interpretation Calculate the areas of composite shapes the sine, cosine and tangent ratios for a Identify everyday questions and issues involving at Calculate the surface area and volume of cylinders given angle in right-angled triangles least one numerical and at least one categorical and solve related problems Apply trigonometry to solve right-angled triangle variable, and collect data directly from secondary Solve problems involving the surface area problems sources and volume of right prisms Construct back-to-back stem-and-leaf plots and Statistics and Probability 1 2 3 4 Investigate very small and very large time scales histograms and describe data, using terms Chance and intervals including and ‘skewed’, ‘symmetric’ ‘bi modal’ List all outcomes for two-step chance experiments, Geometric reasoning Compare data displays using mean, median and both with and without replacement using tree range to describe and interpret numerical Use the enlargement transformation to explain diagrams or arrays. Assign probabilities to data sets in terms of location (centre) and spread similarity and develop the conditions for triangles outcomes and determine probabilities for events to be similar Calculate relative frequencies from given or Solve problems using ratio and scale factors collected data to estimate probabilities of events in similar figures involving 'and' or 'or' Pythagoras and trigonometry Investigate reports of surveys in digital media and elsewhere for information on how data were Investigate Theorem and its Pythagoras’ Source: Australian Curriculum, Assessment and Reporting Authority (ACARA), Australian Curriculum v3.0: Mathematics for Foundation–10, <www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10>.
Measurement and Geometry Using units of measurement Calculate the areas of composite shapes Calculate the surface area and volume of cylinders and solve related problems Solve problems involving the surface area and volume of right prisms Investigate very small and very large time scales and intervals Geometric reasoning Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar Solve problems using ratio and scale factors in similar figures Pythagoras and trigonometry Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles Apply trigonometry to solve right-angled triangle problems Statistics and Probability 1 2 3 4 Chance List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or' Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians Data representation and interpretation Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread Source: Australian Curriculum, Assessment and Reporting Authority (ACARA), Australian Curriculum v3.0: Mathematics for Foundation–10, <www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10>.