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Learning objects Trig radians: introduction

TLF ID L7848

Use radians to measure angles. Identify key angles in their radian form, for example π/6=30°. Convert angles in degrees (up to 360) to angles in radians. Solve measurement problems using angles in radians. Determine arc lengths using radians. This learning object is one in a series of seven objects. Three objects in the series are also packaged as a combined learning object.



Educational details

Key learning objectives
  • Students identify that a radian is the angle at the centre of any circle when the arc length equals the radius of the circle.
  • Students convert angles in degrees to radians.
  • Students identify selected angles in radians and their equivalents in degrees.
  • Students solve problems by measuring angles using radians as an alternative to degrees.
Educational value
  • Demonstrates that radians are used as an alternative to degrees when measuring angles.
  • Demonstrates how angle measurements in radians correspond to their equivalents in degrees.
  • Provides examples of problems where formulas are used to convert radians to degrees, and degrees to radians.
  • Emphasises radian and degree equivalents for the special angles when solving problems in trigonometry.
Year level

11; 12

Learning area
  • mathematics
Strand
  • Mathematics/Algebra
Student activity
  • Interactives;
  • Experiment;
  • Analysis;
  • Modelling;
  • Data manipulation and interpretation

Other details

Contributors
  • Script writer
  • Name: Erica Dale
  • Organisation: Tungaroo Software
  • Address: Manly NSW 2095 Australia
  • Subject matter expert
  • Name: Ron Barassi
  • Address: Melbourne VIC 3000 Australia
  • Educational validator
  • Name: Paul White
  • Address: Strathfield NSW 2135 Australia
  • Technical implementer
  • Publisher
  • Date of contribution: 20 Sep 2013
  • Organisation: Education Services Australia
  • Address: Melbourne VIC 3000 Australia
  • URL: http://www.esa.edu.au/
Access profile
  • Colour independence
  • Hearing independence
Learning resource type
  • Interactive Resource
Browsers
  • Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
  • Firefox - minimum version: (MS-Windows)
  • Safari - minimum version: 5.1 (MacOS)
Operating systems
  • MacOS - minimum version: 10.6
  • MS-Windows - minimum version: XP - maximum version: 7
Rights
  • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.