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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

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

Elaboration ACMNA229

working with authentic information, data and interest rates to calculate compound interest and solve related problems

Elaboration ACMNA230

using the distributive law and the index laws to factorise algebraic expressions

Elaboration (1) ACMNA230

understanding the relationship between factorisation and expansion

Elaboration ACMNA231

applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices

Elaboration ACMNA232

expressing the sum and difference of algebraic fractions with a common denominator

Elaboration (1) ACMNA232

using the index laws to simplify products and quotients of algebraic fractions

Elaboration ACMNA233

exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations

Elaboration (1) ACMNA233

identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs

Elaboration (2) ACMNA233

using the identities for perfect squares and the difference of squares to factorise quadratic expressions

Elaboration ACMNA234

solving simple equations arising from formulas

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