Memorizing the Unit Circle with a Hand Trick

Mrs. Per Brittain introduces a method to memorize unit circle coordinates using the left hand trick. She explains how to use the fingers of the left hand to represent angles in the first quadrant of the unit circle. By putting down specific fingers, students can determine the coordinates for angles like 30°, 45°, 60°, and 90°. The method involves counting fingers on each side of the hand and using square roots to find the coordinates. The video includes examples and tips for using this technique effectively.

What is the primary tool used in the video to memorize unit circle coordinates?

• A compass

• A calculator

• The right hand

• The left hand

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CCSS.HSF.TF.A.2

What is the correct representation for 30 degrees in radians?

• π/2

• π/3

• π/4

• π/6

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CCSS.HSF.TF.A.1

What is the coordinate for 30 degrees using the left hand trick?

• (0, 1)

• (√2/2, √2/2)

• (√3/2, 1/2)

• (1/2, √3/2)

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CCSS.HSF.TF.A.2

How many fingers represent the x-coordinate for 45 degrees?

• 4

• 3

• 2

• 1

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CCSS.HSF.TF.A.2

Using the left hand trick, what is the y-coordinate for 45 degrees?

• √3/2

• √2/2

• 0

• 1/2

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CCSS.HSF.TF.A.2

What is the coordinate for 60 degrees using the left hand trick?

• (√2/2, √2/2)

• (√3/2, 1/2)

• (1/2, √3/2)

• (0, 1)

Tags

CCSS.HSF.TF.A.2

For 0 degrees, what is the x-coordinate according to the left hand trick?

• √3/2

• 1

• 0

• √2/2

Tags

CCSS.HSF.TF.A.2

What is the y-coordinate for 90 degrees using the left hand trick?

• 1

• 0

• √3/2

• √2/2

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CCSS.HSF.TF.A.2

Which quadrant is represented as positive, negative in the unit circle?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

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CCSS.HSF.TF.A.2

In which quadrant are both x and y coordinates negative?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

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CCSS.6.NS.C.6B