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Understanding Co-Terminal Angles and Standard Position in the Unit Circle

This educational resource covers the concept of co-terminal angles in the unit circle. It explains how to label quadrants (I, II, III, IV) and emphasizes the importance of direction—counter-clockwise for positive angles and clockwise for negative angles. It introduces the standard position of an angle, where the initial side lies on the positive x-axis. The resource also includes practice problems involving coterminal angles, encouraging students to sketch various angles and identify pairs of coterminal angles like 240° and 600°.

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Understanding Co-Terminal Angles and Standard Position in the Unit Circle

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Presentation Transcript

  1. The Unit Circle Co-Terminal Angles

  2. Remember • Label the following quadrants: II I IV III • When labeling, did you move clockwise or counter-clockwise? counter-clockwise

  3. Standard position • An angle that is in standard position means that the initial sideof the angle is on the positive x-axis. • Where the angle ends is said to be the terminal side.

  4. Direction • An angle can move counter-clockwise (positive). 135° is the same as -225° 135° -225° • Or clockwise (negative).

  5. Many turns • A wheel can turn many times:

  6. Practice 2. Circle the pair of coterminal angles: 240° & 600° 90° & 290° -100° & 100° 1. Sketch the following angles: 120° -195° 400° 3. Name a positive then a negative angle that is coterminal with 20°.

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