ACMSM065
prove results for sums, such as \(1+4+9\dots+n^2=\frac{n(n+1)(2n+1)}6\) for any positive integer n
ACMSM065 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACEEN066
the selection of mode, medium, genre and type of text
ACEEN066 | Content Descriptions | Unit 4 | English | English | Senior secondary curriculum
ACMEM102
recognise relations between volume and capacity, recognising that \(1\mathrm c\mathrm m^3=1\mathrm m\mathrm L\) and \(1\mathrm m^3=1\mathrm k\mathrm L\)
ACMEM102 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM116
establish and use the formula \(\int x^ndx=\frac1{n+1}x^{n+1}+c\) for \(n\neq-1\)
ACMMM116 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMEM040
determine which type of graph is best used to display a dataset
ACMEM040 | Content Descriptions | Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM099
recognise that \(e\) is the unique number \(a\) for which the above limit is 1
ACMMM099 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM067
define the imaginary number i as a root of the equation \(x^2=-1\)
ACMSM067 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMMM068
recognise and use the recursive definition of an arithmetic sequence: \(t_{n+1}=t_n+d\)
ACMMM068 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM072
recognise and use the recursive definition of a geometric sequence:\(t_{n+1}=rt_n\)
ACMMM072 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM101
review the concepts of vectors from Unit 1 and extend to three dimensions including introducing the unit vectors i, j and k.
ACMSM101 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACSCH028
Nanomaterials are substances that contain particles in the size range 1–100 nm and have specific properties relating to the size of these particles
ACSCH028 | Content Descriptions | Unit 1 | Chemistry | Science | Senior secondary curriculum
ACMMM178
use the approximate confidence interval \(\left(\widehat p-z\sqrt[{}]{(\widehat p(1-\widehat p)/n},\;\;\widehat p+z\sqrt[{}]{(\widehat p(1-\widehat p)/n}\right),\) as an interval estimate for \(p\), where \(z\) is the appropriate quantile for the standard …
ACMMM178 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM053
review the probability scale: \(0\leq P(A)\leq1\) for each event \(A,\) with \(P\left(A\right)=0\) if \(A\) is an impossibility and \(P\left(A\right)=1\) if \(A\) is a certaint
ACMMM053 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACSCH002
Design investigations, including the procedure/s to be followed, the materials required, and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSCH002 | Content Descriptions | Unit 1 | Chemistry | Science | Senior secondary curriculum
ACSCH027
The type of bonding within substances explains their physical properties, including melting and boiling point, conductivity of both electricity and heat, strength and hardness
ACSCH027 | Content Descriptions | Unit 1 | Chemistry | Science | Senior secondary curriculum
ACSCH041
Design investigations, including the procedure/s to be followed, the materials required, and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSCH041 | Content Descriptions | Unit 2 | Chemistry | Science | Senior secondary curriculum
ACSCH075
Design investigations, including the procedure/s to be followed, the materials required, and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSCH075 | Content Descriptions | Unit 3 | Chemistry | Science | Senior secondary curriculum
ACSCH113
Design investigations, including the procedure/s to be followed, the materials required, and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSCH113 | Content Descriptions | Unit 4 | Chemistry | Science | Senior secondary curriculum
ACSES002
Design investigations including the procedure/s to be followed, the information required and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSES002 | Content Descriptions | Unit 1 | Earth and Environmental Science | Science | Senior secondary curriculum
ACSES031
Design investigations including the procedure/s to be followed, the information required and the type and amount of primary and/or secondary data to be collected; conduct risk assessments; and consider research ethics
ACSES031 | Content Descriptions | Unit 2 | Earth and Environmental Science | Science | Senior secondary curriculum