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
ACMSM010
examine examples of vectors including displacement and velocity
ACMSM010 | 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
ACMSM012
represent a scalar multiple of a vector
ACMSM012 | 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
ACMSM016
express a vector in component form using the unit vectors i and j
ACMSM016 | 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
ACMSM019
define and use scalar (dot) product
ACMSM019 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM020
apply the scalar product to vectors expressed in component form
ACMSM020 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM021
examine properties of parallel and perpendicular vectors and determine if two vectors are parallel or perpendicular
ACMSM021 | 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
ACMSM023
solve problems involving displacement, force and velocity involving the above concepts.
ACMSM023 | 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
ACMSM025
use proof by contradiction
ACMSM025 | 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
ACMSM027
use the quantifiers ‘for all’ and ‘there exists’
ACMSM027 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum