Understanding the Unit Circle

Understanding the Unit Circle

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the concept of circle symmetry and how it helps in understanding the unit circle. It covers the use of symmetry to match coordinates across quadrants and provides memory tricks for degrees and radians. The tutorial emphasizes the importance of the main four radians and offers tips for memorizing the unit circle by redrawing it repeatedly.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main concept that helps in understanding the unit circle?

Asymmetry

Symmetry

Randomness

Complexity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the x-coordinate negative and the y-coordinate positive?

Quadrant 3

Quadrant 4

Quadrant 1

Quadrant 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree increment used to calculate angles around the circle?

60 degrees

45 degrees

30 degrees

15 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle is obtained by adding 45 degrees to 90 degrees?

150 degrees

120 degrees

135 degrees

180 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the numerator and denominator in radians for Quadrant 2?

Numerator is one less than the denominator

Numerator is one more than the denominator

Numerator is equal to the denominator

Numerator is double the denominator

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the coordinates in Quadrant 4 using symmetry?

By flipping the x and y coordinates

By making both coordinates positive

By making the x positive and y negative

By making both coordinates negative

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the trick to memorize the main four angles in the unit circle?

Counting up by pi over four

Counting down by pi over two

Counting down by pi over four

Counting up by pi over two

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the best method to memorize the unit circle according to the video?

Reading about it

Watching videos

Redrawing it repeatedly

Listening to lectures