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Elaboration ACMMG141

identifying the size of a right angle as 90° and defining acute, obtuse, straight and reflex angles

Elaboration (1) ACMMG141

measuring, estimating and comparing angles in degrees and classifying angles according to their sizes

Elaboration (2) ACMMG141

investigating the use of rotation and symmetry in the diagrammatic representations of kinship relationships of Central and Western Desert people

Elaboration (3) ACMMG141

recognising and using the two alternate conventions for naming angles

Elaboration ACMSP144

investigating games of chance popular in different cultures and evaluating the relative benefits to the organisers and participants (for example Pachinko)

Elaboration ACMSP145

conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials

Elaboration ACMSP146

predicting likely outcomes from a run of chance events and distinguishing these from surprising results

Elaboration ACMSP147

comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data

understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgements

Elaboration ACMSP148

investigating data representations in the media and discussing what they illustrate and the messages the people who created them might want to convey

Elaboration (1) ACMSP148

identifying potentially misleading data representations in the media, such as graphs with broken axes or non-linear scales, graphics not drawn to scale, data not related to the population about which the claims are made, and pie charts in which the whole …

Elaboration ACMNA149

defining and comparing prime and composite numbers and explaining the difference between them

Elaboration (1) ACMNA149

applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees

Elaboration (2) ACMNA149

solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation

Elaboration ACMNA150

investigating square numbers such as 25 and 36 and developing square-root notation

Elaboration (1) ACMNA150

investigating between which two whole numbers a square root lies

Elaboration ACMNA151

understanding that arithmetic laws are powerful ways of describing and simplifying calculations

Elaboration ACMNA152

exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

Elaboration ACMNA153

exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

Elaboration ACMNA154

investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of …

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