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Trig radians: introduction

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Full details

TLF ID:

L7848

Year level:

4-8

Learning object description:

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.

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.

Learning area:

Mathematics; Algebra

Keywords:

Arc length; Arcs; Centre; Circle; Circles; Degrees (Angles); pi; Quadrants; Radians; Radius; Trigonometric functions

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