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Elaboration ACMNA173

understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem

Elaboration ACMNA175

understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra

Elaboration ACMNA177

identifying order of operations in contextualised problems, preserving the order by inserting brackets in numerical expressions, then recognising how order is preserved by convention

Elaboration ACMNA178

plotting points from a table of integer values and recognising simple patterns, such as points that lie on a straight line

Elaboration (1) ACMNA179

investigating a range of strategies to solve equations

Elaboration ACMNA180

using travel graphs to investigate and compare the distance travelled to and from school

Elaboration (1) ACMNA180

interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines

Elaboration (2) ACMNA180

using graphs of evaporation rates to explore water storage

Elaboration ACMMG159

building on the understanding of the area of rectangles to develop formulas for the area of triangles

Elaboration (1) ACMMG159

establishing that the area of a triangle is half the area of an appropriate rectangle

Elaboration ACMMG160

investigating volumes of cubes and rectangular prisms and establishing and using the formula V = l × b × h

Elaboration (1) ACMMG160

understanding and using cubic units when interpreting and finding volumes of cubes and rectangular prisms

Elaboration (1) ACMMG181

experimenting with, creating and re-creating patterns using combinations of reflections and rotations using digital technologies

Elaboration ACMMG165

identifying side and angle properties of scalene, isosceles, right-angled and obtuse-angled triangles

Elaboration ACMMG163

defining and classifying pairs of angles as complementary, supplementary, adjacent and vertically opposite

Elaboration (1) ACMSP167

distinguishing between equally likely outcomes and outcomes that are not equally likely

Elaboration ACMSP170

understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets

Elaboration ACMSP171

understanding that summarising data by calculating measures of centre and spread can help make sense of the data

Elaboration ACMNA186

understanding that the real number system includes irrational numbers

Elaboration ACMNA188