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Elaboration (1) ACMMG164

defining and identifying the relationships between alternate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal

Elaboration (2) ACMNA149

solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation

Elaboration ACMNA153

exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

Elaboration (1) ACMNA177

moving fluently between algebraic and word representations as descriptions of the same situation

Elaboration ACMSP172

using mean and median to compare data sets and explaining how outliers may affect the comparison

Elaboration (1) ACMSP172

locating mean, median and range on graphs and connecting them to real life

Elaboration (1) ACMNA149

applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees

Elaboration ACMNA150

investigating square numbers such as 25 and 36 and developing square-root notation

Elaboration (1) ACMNA150

investigating between which two whole numbers a square root lies

Elaboration ACMNA151

understanding that arithmetic laws are powerful ways of describing and simplifying calculations

Elaboration ACMNA152

exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

Elaboration ACMNA155

using authentic examples for the quantities to be expressed and understanding the reasons for the calculations

Elaboration (1) ACMNA157

understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each

Elaboration ACMNA158

using authentic problems to express quantities as percentages of other amounts

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

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