ACMMM074
understand the limiting behaviour as \(n\rightarrow\infty\) of the terms \(t_n\) in a geometric sequence and its dependence on the value of the common ratio \(r\)
ACMMM074 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM080
interpret the ratios \(\frac{f\left(x+h\right)-f(x)}h\) and \(\frac{\delta y}{\delta x}\) as the slope or gradient of a chord or secant of the graph of \(y=f(x)\)
ACMMM080 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM062
express rational numbers as terminating or eventually recurring decimals and vice versa
ACMSM062 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM100
sketch the graphs of simple rational functions where the numerator and denominator are polynomials of low degree.
ACMSM100 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACSBL047
Factors that affect exchange of materials across membranes include the surface-area-to-volume ratio of the cell, concentration gradients, and the physical and chemical nature of the materials being exchanged
ACSBL047 | Content Descriptions | Unit 2 | Biology | Science | Senior secondary curriculum
ACSCH024
The relative atomic mass of an element is the ratio of the weighted average mass per atom of the naturally occurring form of the element to \(\frac1{12}\) the mass of an atom of carbon-12; relative atomic masses reflect the isotopic composition of the …
ACSCH024 | Content Descriptions | Unit 1 | Chemistry | Science | Senior secondary curriculum
ACSES107
Geological, prehistorical and historical records provide evidence (for example, fossils, pollen grains, ice core data, isotopic ratios, indigenous art sites) that climate change has affected different regions and species differently over time
ACSES107 | Content Descriptions | Unit 4 | Earth and Environmental Science | Science | Senior secondary curriculum
ACSPH043
Resistance for ohmic and non-ohmic components is defined as the ratio of potential difference across the component to the current in the component
ACSPH043 | Content Descriptions | Unit 1 | Physics | Science | Senior secondary curriculum
ACMNA173
Recognise and solve problems involving simple ratios
Elaborations ScOT Terms
ACMNA173 | Content Descriptions | Year 7 | Mathematics | F-10 curriculum
ACMNA183
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies
Elaborations ScOT Terms
ACMNA183 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum
ACMNA188
Solve a range of problems involving rates and ratios, with and without digital technologies
Elaborations ScOT Terms
ACMNA188 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum
ACMMG221
Solve problems using ratio and scale factors in similar figures
Elaborations ScOT Terms
ACMMG221 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
ACMMG223
Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles
Elaborations ScOT Terms
ACMMG223 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
ACMNA264
Define rational and irrational numbers and perform operations with surds and fractional indices
Elaborations ScOT Terms
ACMNA264 | Content Descriptions | Year 10A | Mathematics | F-10 curriculum
ACDSEH109
The impact of World War II, with a particular emphasis on the Australian home front, including the changing roles of women and use of wartime government controls (conscription, manpower controls, rationing and censorship)
Elaborations ScOT Terms
ACDSEH109 | Content Descriptions | Year 10 | History | Humanities and Social Sciences | F-10 curriculum
CoU1
Building ratios uses knowledge of fractions as part-whole relationships to divide and compare quantities represents and models ratios using diagrams or objects (in a ratio 1:4 of red to blue counters, for each red counter there are four blue coun …
CoU1 | Comparing units (ratios, rates and proportion) | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
CoU2
Ratios interprets ratios as a comparison between the same units of measure (students to teachers in a school is 20:1) expresses a ratio as equivalent fractions or percentages (ratio 1:1, each part represents ½ or 50% of the whole) uses a ratio to increase …
CoU2 | Comparing units (ratios, rates and proportion) | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
CoU3
Applying proportion interprets proportion as the equality of two ratios or rates uses common fractions and decimals for proportional division demonstrates how increasing one quantity in a ratio will affect the total proportion performs operations with …
CoU3 | Comparing units (ratios, rates and proportion) | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
PoL5
Interpreting maps and plans interprets the scale as a ratio used to create plans, drawings or maps interprets plans involving scale uses compass directions, latitude and longitude to locate position
PoL5 | Positioning and locating | Measurement and geometry | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources
Understanding
In F–2, students make connections between related concepts and progressively apply the familiar to develop new ideas. In Years 3–6, students make connections between related concepts and progressively apply the familiar to develop new ideas. They develop …
Understanding | Portfolios | Mathematics proficiencies | Resources