ACMSM018
define and use multiplication by a scalar of a vector in component form
ACMSM018 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM024
use implication, converse, equivalence, negation, contrapositive
ACMSM024 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM026
use the symbols for implication (\(\Rightarrow\)), equivalence (\(\Longleftrightarrow\)), and equality (\(=\))
ACMSM026 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM073
understand and use location of complex conjugates in the complex plane.
ACMSM073 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM074
use the general solution of real quadratic equations
ACMSM074 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM085
examine and use multiplication as a linear transformation in the complex plane
ACMSM085 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM008
use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) or \({}^nC_r\)
ACMSM008 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM009
derive and use simple identities associated with Pascal’s triangle.
ACMSM009 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM013
use the triangle rule to find the sum and difference of two vectors.
ACMSM013 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM014
use ordered pair notation and column vector notation to represent a vector
ACMSM014 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM015
define and use unit vectors and the perpendicular unit vectors i and j
ACMSM015 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM057
define and use composition of linear transformations and the corresponding matrix products
ACMSM057 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM058
define and use inverses of linear transformations and the relationship with the matrix inverse
ACMSM058 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM068
use complex numbers in the form a+bi where a and b are the real and imaginary parts
ACMSM068 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM083
prove and use De Moivre’s theorem for integral powers.
ACMSM083 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM084
examine and use addition of complex numbers as vector addition in the complex plane
ACMSM084 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM107
use the cross product to determine a vector normal to a given plane
ACMSM107 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM119
find and use the inverse trigonometric functions: arcsine, arccosine and arctangent
ACMSM119 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM120
find and use the derivative of the inverse trigonometric functions: arcsine, arccosine and arctangent
ACMSM120 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM122
use partial fractions where necessary for integration in simple cases
ACMSM122 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum