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Elaboration ACMMG216

understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area

Elaboration ACMMG219

investigating the usefulness of scientific notation in representing very large and very small numbers

Elaboration ACMMG220

establishing the conditions for similarity of two triangles and comparing this to the conditions for congruence

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 ACMMG222

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

Elaboration ACMMG223

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

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 (1) ACMSP282

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

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 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

Elaboration ACMMG224

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

Elaboration ACMNA215

determining linear rules from suitable diagrams, tables of values and graphs and describing them using both words and algebra

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

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