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Elaboration ACMSP248

finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets

Elaboration ACMSP249

understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets

Elaboration (1) ACMSP249

using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

Elaboration ACMSP250

investigating data in different ways to make comparisons and draw conclusions

Elaboration ACMSP251

using authentic data to construct scatter plots, make comparisons and draw conclusions

Elaboration ACMSP252

investigating biodiversity changes in Australia since European occupation

Elaboration (1) ACMSP252

constructing and interpreting data displays representing bivariate data over time

Elaboration ACMSP253

investigating the use of statistics in reports regarding the growth of Australia's trade with other countries of the Asia region

Elaboration (1) ACMSP253

evaluating statistical reports comparing the life expectancy of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

Elaboration ACMNA264

understanding that the real number system includes irrational numbers

Elaboration (1) ACMNA264

extending the index laws to rational number indices

Elaboration (2) ACMNA264

performing the four operations with surds

Elaboration ACMNA265

investigating the relationship between exponential and logarithmic expressions

Elaboration (1) ACMNA265

simplifying expressions using the logarithm laws

Elaboration ACMNA266

investigating the relationship between algebraic long division and the factor and remainder theorems

Elaboration ACMNA270

investigating exponential equations derived from authentic mathematical models based on population growth

Elaboration ACMNA267

applying transformations, including translations, reflections in the axes and stretches to help graph parabolas, rectangular hyperbolas, circles and exponential functions

Elaboration ACMNA268

investigating the features of graphs of polynomials including axes intercepts and the effect of repeated factors

Elaboration ACMNA269

writing quadratic equations that represent practical problems

Elaboration ACMMG271

using formulas to solve problems

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