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ACMEM116

apply Pythagoras’ theorem to solve problems

Elaboration ACMMG245

applying Pythagoras' Theorem and trigonometry to problems in surveying and design

Elaboration ACMMG276

investigating the applications of Pythagoras' theorem in authentic problems

Elaboration (1) ACMNA214

using Pythagoras' theorem to calculate distance between two points

ACMGM017

review Pythagoras’ Theorem and use it to solve practical problems in two dimensions and for simple applications in three dimensions.

ACMMG276

Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles

Elaborations ScOT Terms

ACMMG276 | Content Descriptions | Year 10A | Mathematics | F-10 curriculum

ACMMG222

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles

Elaborations ScOT Terms

ACMMG222 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration ACMMG222

understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications

ACMSM089

prove and apply the factor theorem and the remainder theorem for polynomials

ACMSM034

The alternate segment theorem

ACMSM083

prove and use De Moivre’s theorem for integral powers.

Elaboration (6) ACLCLU027

investigating ancient practices in medicine and science still relevant in the modern world, such as the theories of Hippocrates, Democritus, Pythagoras, Archimedes, Eratosthenes, Aristarchus

ACMMM130

understand and use the theorem \(F'\left(x\right)=\frac d{dx}\left(\int_a^xf\left(t\right)dt\right)=f\left(x\right)\), and illustrate its proof geometrically

examining the Classical Greek roots of English words in subjects across the school curriculum, such as theorem, metaphor, photosynthesis, chlorine, atom, planet, geophysical, ecosystem, orchestra, music, scene, dialogue, chorus, athletics

Unit 3 Mathematical Methods

In this unit the study of calculus continues with the derivatives of exponential and trigonometric functions and their applications, together with some differentiation techniques and applications to optimisation problems and graph sketching. It concludes …

Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMGM109

solve small-scale network flow problems including the use of the ‘maximum-flow minimum- cut’ theorem; for example, determining the maximum volume of oil that can flow through a network of pipes from an oil storage tank (the source) to a terminal (the …

Links to Foundation to Year 10 Physics

Progression from the F-10 Australian Curriculum: Science The Physics curriculum continues to develop student understanding and skills from across the three strands of the F-10 Australian Curriculum: Science. In the Science Understanding strand, the Physics …

Links to Foundation to Year 10 | Physics | Science | Senior secondary curriculum

Achievement Standard Mathematics Year 9

By the end of Year 9, students solve problems involving simple interest. They interpret ratio and scale factors in similar figures. Students explain similarity of triangles. They recognise the connections between similarity and the trigonometric ratios. …

Achievement Standard | Achievement Standards | Year 9 | Mathematics | F-10 curriculum

Report Findings: Qualitative Data

Participating schools were asked to report against the project aims as part of their evaluation. This section provides a summary of their responses and outlines additional benefits of the project.

Report Findings: Qualitative Data | STEM Report | STEM | Resources

Years 9 and 10 Framework for Classical Languages

The nature of the learners Students have prior experience of learning Classical Greek and bring a range of capabilities, strategies and knowledge that can be applied to new learning. They are expanding the range and nature …

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