Unit 1 Specialist Mathematics
Unit 1 of Specialist Mathematics contains three topics – ‘Combinatorics’, ‘Vectors in the plane’ and ‘Geometry’ – that complement the content of Mathematical Methods. The proficiency strand, Reasoning, of the F–10 curriculum is continued explicitly in …
Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM002
use the multiplication principle
ACMSM002 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM003
use factorial notation
ACMSM003 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM022
define and use projections of vectors
ACMSM022 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM025
use proof by contradiction
ACMSM025 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM027
use the quantifiers ‘for all’ and ‘there exists’
ACMSM027 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM028
use examples and counter-examples.
ACMSM028 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM011
define and use the magnitude and direction of a vector
ACMSM011 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM019
define and use scalar (dot) product
ACMSM019 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM017
examine and use addition and subtraction of vectors in component form
ACMSM017 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
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
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
ACMSM005
determine and use the formulas for finding the number of elements in the union of two and the union of three sets.
ACMSM005 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum