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School Projects: An Overview

School projects fell into one of two categories: pre-existing, well-tried projects with a defined outcome original projects, designed to appeal to the interests of students or to respond to a particular school or local context. Pre-existing projects …

School Projects: An Overview | STEM Report | STEM | Resources

References & Appendices

Australian Curriculum and Assessment Reporting Authority (ACARA) F–10 Curriculum. www.australiancurriculum.edu.au/mathematics/curriculum/f-10 (viewed November 2014) www.australiancurriculum.edu.au/science/curriculum/f-10 (viewed November 2014)www.australiancurriculum.edu.au/technologies/design-and-technologies/curriculum/f-10 (viewed …

References & Appendices | STEM Report | STEM | Resources

Quantifying numbers description

Although number is an abstract concept which can be represented by a word, a symbol (numeral) or an image, it is central to quantitative thinking. This sub-element describes how a student becomes increasingly able to count, recognise, read and interpret …

Quantifying numbers | Number sense and algebra | National Numeracy Learning Progression | National Literacy and Numeracy Learning Progressions | Resources

ACMMM017

recognise features of the graphs of \(y=x^3\), \(y=a{(x-b)}^3+c\) and \(y=k(x-a)(x-b)(x-c)\), including shape, intercepts and behaviour as \(x\rightarrow\infty\) and \(x\rightarrow-\infty\)

ACMMM106

apply the product, quotient and chain rule to differentiate functions such as \(xe^x\), \(\tan x,\), \(\frac1{x^n}\), \(x\sin x,\text{ }e^{-x}\sin x\) and \(f(ax+b)\)

ACMMM037

examine amplitude changes and the graphs of \(y=a\sin x\) and \(y=a\cos x\)

ACMMM036

recognise the graphs of \(y=\sin x,\;y=\cos x,\) and \(y=\tan x\) on extended domains

ACMSM098

use and apply the notation \(\left|x\right|\) for the absolute value for the real number \(x\) and the graph of \(y=\left|x\right|\)

Elaboration (8) ACLASFC226

identifying and researching Deaf community identities associated with significant historical places, such as William Thomson establishing the first deaf school in WA

ACMMM039

examine phase changes and the graphs of \(y=\sin{(x+c)}\), \(y=\cos{(x+c)}\) and \(y=\tan{(x+c)}\) and the relationships \(\sin\left(x+\frac\pi2\right)=\cos x\) and \(\cos\left(x-\frac\pi2\right)=\sin x\)

ACMMG181

Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

Elaborations ScOT Terms

ACMMG181 | Content Descriptions | Year 7 | Mathematics | F-10 curriculum

ACMMM065

recognise the qualitative features of the graph of \(y=a^x(a>0)\) including asymptotes, and of its translations \(y=a^x+b\) and \(y=a^{x+c}\)

ACMMM082

define the derivative \(f'\left(x\right)\) as \(\lim_{h\rightarrow0}\frac{f\left(x+h\right)-f(x)}h\)

ACMSM117

use substitution \(u = g(x)\) to integrate expressions of the form \(f\left(g\left(x\right)\right)g'\left(x\right)\)

ACMMM007

recognise features of the graphs of \(y=x^2\), \(y=a{(x-b)}^2+c\), and \(y=a\left(x-b\right)\left(x-c\right)\) including their parabolic nature, turning points, axes of symmetry and intercepts

ACMMM079

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

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 \(y=f(x)\)

ACMMM088

establish the formula \(\frac d{dx}\left(x^n\right)=nx^{n-1}\) for positive integers \(n\) by expanding \({(x+h)}^n\) or by factorising \({(x+h)}^n-x^n\)

ACMMM159

define the natural logarithm \(\ln x=\log_ex\)

ACMSM099

examine the relationship between the graph of \(y=f(x)\) and the graphs of \(y=\frac1{f(x)}\), \(y=\vert f\left(x\right)\vert\) and \(y=f(\left|x\right|)\)

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