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Elaboration ACMMG244

distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)

Elaboration (1) ACMMG244

performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.

Elaboration ACMMG245

applying Pythagoras' Theorem and trigonometry to problems in surveying and design

Elaboration ACMSP246

recognising that an event can be dependent on another event and that this will affect the way its probability is calculated

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 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 (1) ACMMG271

using authentic situations to apply knowledge and understanding of surface area and volume

Elaboration (2) ACMMG272

proving results involving chords of circles

Elaboration ACMMG273

applying knowledge of sine, cosine and area rules to authentic problems such as those involving surveying and design

Elaboration ACMMG274

establishing the symmetrical properties of trigonometric functions

Elaboration (1) ACMMG274

investigating angles of any magnitude

Elaboration (2) ACMMG274

understanding that trigonometric functions are periodic and that this can be used to describe motion

Elaboration ACMMG276

investigating the applications of Pythagoras' theorem in authentic problems

Elaboration ACMSP279

investigating different techniques for finding a ‘line of best fit’

Elaboration ACSSU003

sorting and grouping materials on the basis of observable properties such as colour, texture and flexibility

Elaboration (1) ACSSU005

comparing the way different sized, but similar shaped, objects such as tennis balls, golf balls, marbles and basketballs roll and bounce

Elaboration (2) ACSSU005

observing how the movement of different living things depends on their size and shape

Elaboration (1) ACSSU033

exploring how different strengths of pushes and pulls affect the movement of objects

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