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

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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This is a 29-page guide for teachers. It introduces graphing of quadratic functions.

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Why can a regular sheet of paper be folded only about six times? By folding a sheet of paper in half, over and over, the number of layers and the thickness of the paper doesn’t just double, they increase exponentially. Find out how many times a sheet of paper can actually be folded!

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Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' 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 investigations in order ...

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Face painter: finding faces 1

Identify polygons on a range of prisms and polyhedra such as a cube, square pyramid or triangular prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a triangle or rectangle.

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Shape overlays: picture studio

Position two simple shapes to form an overlap, then cut out that new shape. For example, lay a rectangle over a circle to make a semicircle. Make several shapes. Rotate the shapes and move them around to make pictures. Build a new picture or match an existing picture such as a fish or a truck.

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Photo hunt: level 4

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

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'Fishing for upokororo', 1922

This is a black-and-white photograph of two Mäori men at work with two hïnaki (fish traps) capturing upokororo (grayling, 'Prototroctes oxyrhynchus') on the Waipu River on the east coast of the North Island in 1922. The photograph shows a low dam that has been built across the stream to divert its flow and direct the fish ...

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An animated tutorial, describing the process of drawing the resulting image after rotation of a triangle, followed by an interactive quiz.

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reSolve: Real World Algebra: Exponential Functions

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TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

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Recently the world's population passed seven billion and it continues to grow by 200,000 people every day. Listen to some reasons why our population is growing at such a rate, and the strain this will put on resources such as food and water. This clip provides context for calculations involving exponential growth.