Free Printable Build the Unit Circle Debrief

1.

Please take out your unit circle and activity page to complete this debrief!

a)

I understand

b)

I don't understand

2.

Today, we determined how to...

a)

Rotate angles on the unit circle

b)

Find reference angles

c)

Find coterminal angles

d)

Find the coordinates for angles on the unit circle

3.

If you were to go right and down, what would the signs of the coordinates be?

What quadrant?

a)

(-,+)

Q2

b)

(+,-)

Q4

c)

(-,+)

Q4

d)

(+,-)

Q2

4.

If you were to go left and up, what would the signs of the coordinates be?

What quadrant?

a)

(-,+)

Q2

b)

(+,-)

Q4

c)

(-,+)

Q4

d)

(+,-)

Q2

5.

If you were to go right and up, what would the signs of the coordinates be?

What quadrant?

a)

(+,+)

Q1

b)

(+,+)

Q3

c)

(-,-)

Q3

d)

(-,-)

Q1

6.

If you were to go left and down, what would the signs of the coordinates be?

What quadrant?

a)

(+,+)

Q1

b)

(+,+)

Q3

c)

(-,-)

Q3

d)

(-,-)

Q1

7.

Which is the length of the radius of a unit circle?

a)

$\frac{1}{2}$

b)

$1$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

8.

What is the coordinate for 30 degrees?

a)

$\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

b)

$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$

c)

$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$

d)

$\left(1,0\right)$

9.

What is the coordinate for 180 degrees?

a)

$\left(1,0\right)$

b)

$\left(0,1\right)$

c)

$\left(-1,0\right)$

d)

$\left(0,-1\right)$

10.

What is the coordinate for 45 degrees?

a)

$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$

b)

$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$

c)

$\left(\frac{-\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

d)

$\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)$

11.

What is the coordinates for 90 degrees?

a)

$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$

b)

$\left(0,1\right)$

c)

$\left(\frac{1}{2},\frac{\sqrt[]{3}}{2}\right)$

d)

$\left(\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)$

12.

What is the coordinate for 150 degrees?

a)

$\left(\frac{-\sqrt[]{3}}{2},\ \frac{1}{2}\right)$

b)

$\left(\frac{-1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

c)

$\left(\frac{-1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

d)

$\left(\frac{1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

13.

What is the coordinate for 60 degrees?

a)

$\left(\frac{-1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

b)

$\left(\frac{1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

c)

$\left(\frac{\sqrt[]{3}}{2},\ \frac{1}{2}\right)$

d)

$\left(\frac{1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

14.

What is the coordinate for 240 degrees?

a)

$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$

c)

$\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$

d)

(−1, 0)

15.

What is the coordinate for 315 degrees?

a)

$\left(\frac{1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

b)

$\left(\frac{\sqrt[]{2}}{2},\ \frac{-\sqrt[]{2}}{2}\right)$

c)

$\left(\frac{\sqrt[]{3}}{2},\ \frac{-1}{2}\right)$

d)

$\left(0,-1\right)$

16.

What is the coordinate for 300 degrees?

a)

$\left(\frac{1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

b)

$\left(\frac{\sqrt[]{2}}{2},\ \frac{-\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt[]{3}}{2},\ -\frac{1}{2}\right)$

d)

$\left(\frac{1}{2},\ \frac{-\sqrt[]{3}}{2}\right)$

17.

What is the coordinate for 135 degrees?

a)

$\left(\frac{\sqrt{2}}{2},\ \frac{\sqrt{2}}{2}\right)$

b)

$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

c)

$\left(\frac{\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$

d)

$\left(-\frac{\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$

18.

Why do the angles 150 degrees and 210 degrees have the same coordinates but different signs?

4 lines

19.

A full circle has how many radians?

a)

1π radians

b)

2π radians

c)

3π radians

d)

4π radians

20.

A radian is...

a)

a unit of measure for distance

b)

a unit of measure for area

c)

a unit of measure for angles

d)

a unit of measure for volume

21.

For the next few questions, determine the angle drawn in radians. Use your unit circle to assist you in determining the answer.

a)

I understand

b)

I don't understand.

22.

a)

π/2

b)

π/8

c)

π/6

d)

π/4

23.

a)

2π/4

b)

3π/4

c)

5π/6

d)

7π/6

24.

a)

4π/3

b)

π/2

c)

3π/2

d)

7π/6

25.

a)

π/2

b)

π/3

c)

π/4

d)

π/6

26.

a)

3π/4

b)

5π/6

c)

5π/4

d)

7π/6

27.

a)

5π/6

b)

7π/4

c)

10π/6

d)

11π/6

28.

a)

4π/3

b)

3π/4

c)

2π/3

d)

5π/4

29.

a)

π/2

b)

π/3

c)

π/4

d)

π/6

30.

a)

7π/4

b)

5π/4

c)

11π/6

d)

5π/3

31.

a)

5π/3

b)

7π/4

c)

4π/3

d)

5π/6

32.

a)

3π/2

b)

5π/3

c)

5π/4

d)

7π/3

33.

a)

π/2

b)

π/3

c)

π/4

d)

π/6

34.

a)

4π/3

b)

7π/6

c)

3π/4

d)

5π/4

35.

a)

7π/6

b)

5π/6

c)

5π/6

d)

11π/6

36.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

37.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

38.

What does SOH stand for

a)

hypotenuse over opposite

b)

opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

39.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

40.

What does TOA stand for

a)

hypotenuse over opposite

b)

opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

41.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is opposite/across from theta (the reference angle)

d)

It is the bottom leg of the triangle

42.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

43.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

44.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

Build the Unit Circle Debrief

Total questions: 44

Worksheet time: 1hrs 3mins

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