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Elaboration (1) ACMNA189

investigating the methods used in retail stores to express discounts

Elaboration ACMNA190

applying the distributive law to the expansion of algebraic expressions using strategies such as the area model

Elaboration ACMNA191

recognising the relationship between factorising and expanding

Elaboration (1) ACMNA191

identifying the greatest common divisor (highest common factor) of numeric and algebraic expressions and using a range of strategies to factorise algebraic expressions

Elaboration ACMNA192

understanding that the laws used with numbers can also be used with algebra

Elaboration ACMNA193

completing a table of values, plotting the resulting points and determining whether the relationship is linear

Elaboration (1) ACMNA193

finding the rule for a linear relationship

Elaboration ACMNA194

solving real life problems by using variables to represent unknowns

Elaboration ACMMG195

choosing units for area including mm2, cm2, m2, hectares, km2, and units for volume including mm3, cm3, m3

Elaboration (1) ACMMG195

recognising that the conversion factors for area units are the squares of those for the corresponding linear units

Elaboration (2) ACMMG195

recognising that the conversion factors for volume units are the cubes of those for the corresponding linear units

Elaboration ACMMG196

establishing and using formulas for areas such as trapeziums, rhombuses and kites

Elaboration ACMMG197

investigating the circumference and area of circles with materials or by measuring, to establish an understanding of formulas

Elaboration (1) ACMMG197

investigating the area of circles using a square grid or by rearranging a circle divided into sectors

Elaboration ACMMG198

investigating the relationship between volumes of rectangular and triangular prisms

Elaboration ACMMG199

identifying regions in Australia and countries in Asia that are in the same time zone

Elaboration ACMMG200

understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures

establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal

Elaboration ACMMG201

investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence (SSS, SAS, ASA and RHS)

Elaboration (1) ACMMG201

solving problems using the properties of congruent figures

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