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ACMMM025

examine translations and the graphs of \(y=f\left(x\right)+a\) and \(y=f(x+b)\)

ACMMM025 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM078

use the Leibniz notation \(\delta x\) and \(\delta y\) for changes or increments in the variables \(x\) and \(y\)

ACMMM078 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM100

establish and use the formula \(\frac d{dx}\left(e^x\right)=e^x\)

ACMMM100 | Content Descriptions | Unit 3 | Mathematical Methods | 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

ACMMM118

establish and use the formulas, \(\int\sin xdx=-\cos x+c\) and \(\int\cos xdx=\sin x+c\)

ACMMM118 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM122

determine \(f\left(x\right),\) given \(f^{'\;}(x)\;\) and an initial condition \(f\left(a\right)=b\)

ACMMM122 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM151

define logarithms as indices: \(a^x=b\) is equivalent to \(x=\log_ab\) i.e. \(a^{\log_ab}=b\)

ACMMM151 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM153

recognise the inverse relationship between logarithms and exponentials: \(y=a^x\) is equivalent to \(x=\log_ay\)

ACMMM153 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM160

recognise and use the inverse relationship of the functions \(y=e^x\) and \(y=\ln x\)

ACMMM160 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMSM118

establish and use the formula \(\int\frac1xdx=\ln{\;\vert x\;\vert}+c\) for x ≠ 0

ACMSM118 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum

Information and Communication Technology Capability - Level 6 (Years 9 and 10)

Understand computer mediated communications understand that computer mediated communications have advantages and disadvantages in supporting active participation in a community of practice and the management of collaboration on digital materials Identify …

Information and Communication Technology Capability - Level 6 (Years 9 and 10) | Knowledge and understanding | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Aboriginal and Torres Strait Islander communities maintain a special connection to and responsibility for Country/Place. Aboriginal and Torres Strait Islander Peoples have holistic belief systems and are spiritually and intellectually connected to the …

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Human-nature relationships | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Aboriginal and Torres Strait Islander Peoples' family and kinship structures are strong and sophisticated

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Skills and knowledge | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Aboriginal and Torres Strait Islander Peoples live in Australia as first peoples of Country or Place and demonstrate resilience in responding to historic and contemporary impacts of colonisation

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Health and wellbeing | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Australia has two distinct Indigenous groups: Aboriginal Peoples and Torres Strait Islander Peoples, and within those groups there is significant diversity. Aboriginal and Torres Strait Islander Peoples’ ways of life are uniquely expressed through ways …

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Understanding respect | Dimensions | Curriculum connections | Resources

Information and Communication Technology (ICT) Capability - Years 9 and 10

Applying social and ethical protocols and practices when using ICT Protect rights, identity, privacy and emotional safety of others when using ICT, and discriminate between protocols suitable for different communication tools when collaborating with …

Information and Communication Technology (ICT) Capability - Years 9 and 10 | Relationship skills | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Aboriginal and Torres Strait Islander communities maintain a special connection to and responsibility for Country/Place. Aboriginal and Torres Strait Islander Peoples' family and kinship structures are strong and sophisticated.

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Relationship skills | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

Aboriginal and Torres Strait Islander Peoples have holistic belief systems and are spiritually and intellectually connected to the land, sea, sky and waterways.

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Evaluating options | Dimensions | Curriculum connections | Resources

Information and Communication Technology (ICT) Capability - Years 9 and 10

Applying social and ethical protocols and practices when using ICT Protect rights, identity, privacy and emotional safety of others when using ICT, and discriminate between protocols suitable for different communication tools when collaborating with …

Information and Communication Technology (ICT) Capability - Years 9 and 10 | Respectful action | Dimensions | Curriculum connections | Resources

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10

The significant contributions of Aboriginal Peoples and Torres Strait Islander Peoples in the present and past are acknowledged locally, nationally and globally.

Aboriginal and Torres Strait Islander Histories and Cultures - Years 9 and 10 | Respectful action | Dimensions | Curriculum connections | Resources

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