Radian Measurements

Unit Circle - Radians

By KYLA NAULT

If you look at the unit circle, you'll not only notice that the points have a pattern, the radian measures do as well.

Radian patterns

Take a look at the points on the unit circle that are closest to the x-axis. All of them have a denominator of 6

over 6 - near x-axis

If you look at the measures, they are all
over or under 0, , or It also goes in a pattern of +1, +4, +1, +4 for the numerator values.

over 6 - near x-axis

Labeling

Label the radian measures closest to the x-axis (hint, they increase as you go counter clockwise)

Drag labels to their correct position on the image

If you look at the radian measures in the middle of each quadrant, they are all over 4

over 4 - middle radians

Not only that, they all increase by +2 in the numerator each new point

over 4 - middle radians

Labeling

Label the "middle" radian measurements of the unit circle

Drag labels to their correct position on the image

If you look at all of the radian measurements closest to the y-axis, they are all over 3.

over 3 - near y-axis

The numerator increases by +1, +2, +1

It almost goes in a 1, 2, 3, 4, 5 pattern. You can count the third as the left axis!

over 3 - near y-axis

Labeling

Label the radian measurements closest to the y-axis

Drag labels to their correct position on the image

Labeling

Try labeling quadrants 1 and 2

Drag labels to their correct position on the image

0

Labeling

Label the radians for quadrants 3 & 4

Drag labels to their correct position on the image