ACMMM013
recognise features of the graphs of \(y=\frac1x\) and \(y=\frac a{x-b}\), including their hyperbolic shapes, and their asymptotes.
ACMMM013 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM021
recognise features of the graph of \(y^2=x\) including its parabolic shape and its axis of symmetry.
ACMMM021 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM026
examine dilations and the graphs of \(y=cf\left(x\right)\) and \(y=f\left(kx\right)\)
ACMMM026 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM115
use the notation \(\int f\left(x\right)dx\) for anti-derivatives or indefinite integrals
ACMMM115 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM129
understand the concept of the signed area function \(F\left(x\right)=\int_a^xf\left(t\right)dt\)
ACMMM129 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM161
establish and use the formula \(\frac d{dx}\left(\ln x\right)=\frac1x\)
ACMMM161 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM121
integrate expressions of the form \(\frac{\pm1}{\sqrt[{}]{a^2-x^2}}\) and \(\frac a{a^2+x^2}\)
ACMSM121 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACHAH288
The contribution of new scientific methodologies, including DNA analysis, radio-carbon dating, dendrochronology, thermoluminescence, proton magnetometer, and x-rays
ACHAH288 | Content Descriptions | Unit 4: Reconstructing the Ancient World | Ancient History | Humanities and Social Sciences | Senior secondary curriculum
ACHMH086
The role and significance of individuals in the struggle for civil rights, for example Martin Luther King Jr, Rosa Parkes, and Malcolm X
ACHMH086 | Content Descriptions | Unit 2: Movements for Change in the 20th century | Modern History | Humanities and Social Sciences | Senior secondary curriculum
QuN5
Producing number names counts to at least 20 continues a count from a number other than 1 counts forwards by tens to 100 Counting items counts groups of up to 20 items Numeral recognition and identification points to the correct …
QuN5 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN4
Producing number names produces the number word just after a given number word in the range 1–10 (without dropping back to count from 1) produces the number word just before a given number word in the range 1–10 (without dropping back) Counting …
QuN4 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN6
Producing number names counts to at least 30 produces the number word just after a given number in the range 1–30 (without dropping back) produces the number word just before a given number word in the range 1–30 (without dropping back) counts forwards …
QuN6 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN8
Producing number names to at least 1000 counts forwards and backwards by 100s to 1000 (100, 200 … 1000) counts forwards and backwards by tens off the decade to 100 (2, 12, 22, …) Numeral recognition and identification of place value recognises …
QuN8 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS7
Flexible number properties uses multiplication and division as inverse operations uses factors of a number to carry out multiplication and division (to multiply a number by 72, first multiply by 12 and then multiply the result by 6) uses knowledge …
MuS7 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
MuS6
Flexible strategies for multiplication draws on the structure of multiplication to use known multiples in calculating related multiples (uses multiples of 4 to calculate multiples of 8) uses known single-digit multiplication facts (7 boxes of 6 donuts …
MuS6 | Multiplicative strategies | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA6
Generalising patterns identifies a single operation rule in numerical patterns and records it as a numerical expression (2, 4, 6, 8, 10 … is n + 2, or 2, 6, 18, 54 … is 3n) predicts a higher term of a pattern using the pattern’s rule Number properties creates …
NPA6 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
NPA5
Generalising patterns identifies elements, including missing elements, in a one-operation number pattern Number sentences uses equivalent number sentences involving addition or subtraction to find an unknown (527 + 96 = ? is the same as 527 …
NPA5 | Number patterns and algebraic thinking | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Elaboration (2) ACLJAU156
knowing that the hiragana spelling of a particular particle does not match its pronunciation, for example, ‘wa’ for は , ‘e’ for へ, ‘o/wo’ for を
Elaboration (2) | ACLJAU156 | Content Descriptions | Years 5 and 6 | Years F–10 Sequence | Japanese | Languages | F-10 curriculum
OwD3
Understanding the effects of multiplication and division with decimals understands that multiplying and dividing decimals by 10, 100, 1000 changes the positional value of the numerals explains that multiplication does not always make the answer larger …
OwD3 | Operating with decimals | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN12
Understanding place value (directed numbers) orders negative numbers (recognises that −10 °C is colder than −2.5 °C) Representing place value recognises, reads and interprets very large and very small numbers expresses numbers as powers of 10 …
QuN12 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources