Search

Home
Search

Your search for "compare data with predictions and use as evidence in developing explanations" returned 16 result(s)

Sort by Relevance | Title | Type |

ACMMM090

recognise and use linearity properties of the derivative

ACMMM062

use radicals and convert to and from fractional indices

ACMMM063

understand and use scientific notation and significant figures.

ACMMM064

establish and use the algebraic properties of exponential functions

ACMMM071

establish and use the formula for the sum of the first \(n\) terms of an arithmetic sequence.

ACMMM076

use geometric sequences in contexts involving geometric growth or decay, such as compound interest.

ACMMM066

identify contexts suitable for modelling by exponential functions and use them to solve practical problems

ACMMM068

recognise and use the recursive definition of an arithmetic sequence: \(t_{n+1}=t_n+d\)

ACMMM070

use arithmetic sequences in contexts involving discrete linear growth or decay, such as simple interest

ACMMM072

recognise and use the recursive definition of a geometric sequence:\(t_{n+1}=rt_n\)

ACMMM073

use the formula \(t_n=r^{n-1}t_1\) for the general term of a geometric sequence and recognise its exponential nature

ACMMM075

establish and use the formula \(S_n=t_1\frac{r^n-1}{r-1}\) for the sum of the first \(n\) terms of a geometric sequence

ACMMM078

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

ACMMM069

use the formula \(t_n=t_1+\left(n-1\right)d\) for the general term of an arithmetic sequence and recognise its linear nature

ACMMM079

use the notation \(\frac{\delta y}{\delta x}\) for the difference quotient \(\frac{f\left(x+h\right)-f(x)}h\) where \(y=f(x)\)

ACMMM083

use the Leibniz notation for the derivative: \(\frac{dy}{dx}=\lim_{\mathit{δx}\rightarrow0}\frac{\delta y}{\delta x}\) and the correspondence \(\frac{dy}{dx}=f'\left(x\right)\) where \(y=f(x)\)