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Elaboration (2) ACMMG220

using the enlargement transformation to establish similarity, understanding that similarity and congruence help describe relationships between geometrical shapes and are important elements of reasoning and proof

Elaboration ACMMG221

establishing the relationship between areas of similar figures and the ratio of corresponding sides (scale factor)

Elaboration ACMMG222

understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications

Elaboration (1) ACMMG222

recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers

Elaboration ACMMG223

developing understanding of the relationship between the corresponding sides of similar right-angled triangles

Elaboration ACMMG224

understanding the terms 'adjacent' and 'opposite' sides in a right-angled triangle

Elaboration (1) ACMMG224

selecting and accurately using the correct trigonometric ratio to find unknown sides (adjacent, opposite and hypotenuse) and angles in right-angled triangles

Elaboration ACMSP225

conducting two-step chance experiments

Elaboration (1) ACMSP225

using systematic methods to list outcomes of experiments and to list outcomes favourable to an event

Elaboration (2) ACMSP225

comparing experiments which differ only by being undertaken with replacement or without replacement

Elaboration ACMSP226

using Venn diagrams or two-way tables to calculate relative frequencies of events involving ‘and’, ‘or’ questions

Elaboration (1) ACMSP226

using relative frequencies to find an estimate of probabilities of ‘and’, ‘or’ events

Elaboration ACMSP227

investigating a range of data and its sources, for example the age of residents in Australia, Cambodia and Tonga; the number of subjects studied at school in a year by 14-year-old students in Australia, Japan and Timor-Leste

Elaboration ACMSP228

comparing the annual rainfall in various parts of Australia, Pakistan, New Guinea and Malaysia

Elaboration ACMSP282

using stem-and-leaf plots to compare two like sets of data such as the heights of girls and the heights of boys in a class

Elaboration (1) ACMSP282

describing the shape of the distribution of data using terms such as ‘positive skew’, ‘negative skew’ and 'symmetric' and 'bi-modal'

Elaboration ACMSP283

comparing means, medians and ranges of two sets of numerical data which have been displayed using histograms, dot plots, or stem and leaf plots

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Cross Curriculum Priorities