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
Context statement French
The place of the French language and culture in Australia and in the world French is a major world language, spoken as the first language in more than two dozen countries on five continents and as an official language in 33 countries. First …
Context statement | French | Languages | F-10 curriculum
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
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
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
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
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
OwP1
Understanding percentages and relative size interprets per cent as meaning ‘out of 100’ recognises that 100% is a complete whole interprets a percentage as an operator (percentage is of an amount, 17% of $80, 17% does not exist alone without its …
OwP1 | Operating with percentages | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
OwP2
Find percentage as a part of a whole uses fraction benchmarks to find percentages of quantities (to find 75% of 160, I know that 50% (half) of 160 is 80, and 25% (quarter) is 40 so 75% is 120) finds a percentage of a quantity (10%, 20%, 25%, 50%, …
OwP2 | Operating with percentages | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
QuN11
Understanding place value reads and writes numbers applying knowledge of the place value periods of ones, thousands, millions (how numbers are written with the digits organised in groups of three – 10 000 is read as ten thousand, where thousand is …
QuN11 | Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources