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Mathematics / Year 10 / Number and Algebra / Linear and non-linear relationships

Version 8
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267)

Elaborations
  • applying transformations, including translations, reflections in the axes and stretches to help graph parabolas, rectangular hyperbolas, circles and exponential functions
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Transformation (Geometry),  Exponential functions,  Hyperbolic functions,  Parabolic functions

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1 direct match to ACMNA267 | 19 other related resources
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Online

Secondary mathematics: different representations

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These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

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In a spin

  • TLF-IDM020741

This resource is a web page containing a short task to explore volume of a solid shape. The task involves calculating the volume of the solid formed by rotating a right angled triangle about its hypotenuse A printable resource and solution is also available to support the task. This resource is an activity from the NRICH ...

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Tuning and Ratio

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This resource is a web page containing a challenging problem solving task that requires an understanding of ratios and logarithms. It explains how intervals such as an octave corresponds to a particular ratio of string lengths which produce the notes. Two types of tuning based on ratios; The Pythagorean Scale and Just Intonation ...

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Online

TIMES Module 22: Measurement and Geometry: introductory trigonometry - teacher guide

  • TLF-IDM008608

This is a 20-page guide for teachers containing an introduction to the three basic trigonometric ratios. A history of trigonometry concludes the module.

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Interactive

Algebra four

  • TLF-IDM012007

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

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Round and Round and Round

  • TLF-IDM020739

This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...

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Interactive

Laptop wrap: Talking trigonometry

  • TLF-IDM016176

In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.

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Interactive

Laptop wrap – a slippery slope

  • TLF-IDM016265

Distance, midpoint and gradient are investigated as students design an Excel spreadsheet and make a Smart Notebook presentation on ski-lifts. Students then contribute to a discussion on the steepest street in the world. 

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Interactive

Trigonometric Ratios

  • TLF-IDM016660

An animated introduction to the basic trigonometric ratios.

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Video

Catalyst: Applying trigonometry: leaning tower

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The Leaning Tower of Gingin is the centrepiece of the Gravity Discovery Centre. The Catalyst team of Derek, Simon and Anja drop watermelons from the tower, to examine the rate at which they fall. They are testing Galileo's theory about falling objects. The dimensions of the tower provide an opportunity to apply some basic ...

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Interactive

Numeracy wrap: It's what's inside that counts

  • TLF-IDM016261

interactive activities that guide students to explore the interior and exterior angle sums of polygons.

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Online

TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

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This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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Interactive

Numeracy wrap: Race across transversals

  • TLF-IDM016118

Interactive activities that guide students to explore angles in parallel lines.

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Video

ABC News: Space debris: the accuracy of space lasers

  • TLF-IDM015754

In space there are thousands of human-made objects (satellites and space junk) orbiting Earth. To avoid collision with space debris, satellites are manoeuvred out of its path. Discover how space debris is tracked using lasers, and about accuracy's effects on the lifetime of the satellite. Find out, using trigonometry, the ...

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Interactive

Laptop wrap: Parallelendicular

  • TLF-IDM016249

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0. 

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Interactive

Numeracy wrap: Tell me why

  • TLF-IDM016554

Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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Video

Stateline: Mapping farmland: using area and trigonometry

  • TLF-IDM015626

In northern Queensland's Gulf region, some farmers use GPS mapping to help manage their extensive properties. Use this clip as a context for applying your understanding of area, in particular your understanding of conversion between square kilometres and hectares. Apply trigonometry and Pythagoras' theorem.

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Interactive

Renovate, Calculate!

  • TLF-IDM016724

A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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Interactive

Laptop wrap: Under the surface

  • TLF-IDM016697

In this laptop-friendly resource, students consider the difference between volume and surface area before posing practical problems. They then consider issues relating to unit conversions and similar figures.

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Interactive

The Mathematical Toolkit

  • TLF-IDM016790

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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