QR Challenge: Solve Trig Equations and Inverse Functions
Teacher Notes
A. Prior to the lesson:
1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.
2. If their phone camera doesn't automatically detect and decode QR codes, ask students to
- Download a QR reader (e.g. I-Nigma | NeoReader | Kaywa) onto their mobile devices
- Bring these devices into the lesson.
3. Print out the QR codes.
4. Cut them out and place them around your class / school.
B. The lesson:
1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.
2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.
3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!
C. TIPS / OTHER IDEAS
4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.
Questions / Answers (teacher reference)
Question | Answer |
1. 1. arcsin ( 1/2 ) | 30 degrees
|
2. 2. arctan ( -1) | - 45 degrees
| 3. 3. arccos (-1) | 180 degrees
| 4. 4. arccos ( - 1/2 ) | 120 degrees
| 5. 5. arcsin ( - 1 ) | -90 degrees
| 6. 6. arctan ( 0 ) | 0 degrees
| 7. 7. arccos ( 0 ) | 90 degrees
| 8. 8. arcsin ( -1 ) | -90 degrees
| 9. 9. 4cos^2 x - 3 = 0 | 30, 150, 210, 330 degrees
| 10. 10. cos^3 x = cos x | 90, 270, 0, 180 degrees
| 11. 11. sin x - sin (2x) = 0 | 0 , 180, 60, 300 degrees
| 12. 12. csc^2 x - csc x - 2 = 0 | 30, 150, 270 degrees
| 13. 13. cos^2 x = 1 - sin x | 0, 180, 90 degrees
| 14. 14. tan x = 1 | 45, 225 degrees
| 15. 15. tan (2x) = 1 | 22.5, 112.5, 202.5, 292.5
| 16. 16. cos (2x) = 1/2 | 30, 150, 210, 330, degrees
| 17. 17. 2sin^2 x - sin x - 1 = 0, give all degree answers | 210 + 360k, 330 + 360k, 90 + 360k
| 18. 18. 2 cos^2 x + cos x = 0, give all degree answers | 90 + 180k, 120 + 360k, 240 + 360k
| 19. 19. sin ^2 x - 1 = 0, give all degree answers | 90 + 360k, 270 + 360k
| 20. 20. 1 + sin x = 2 cos^2 x, give all degree answers | 30 + 360k, 150 + 360k, 270 + 360k |
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=1.__arcsin_(_1/2_)
Question 1 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=2.__arctan_(_-1)
Question 2 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=3.__arccos_(-1)
Question 3 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=4.__arccos_(_-_1/2_)
Question 4 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=5.__arcsin_(_-_1_)
Question 5 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=6.__arctan_(_0_)
Question 6 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=7.__arccos_(_0_)
Question 7 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=8.__arcsin_(_-1_)
Question 8 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=9.__4cos^2_x_-_3_=_0
Question 9 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=10.__cos^3_x_=_cos_x
Question 10 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=11.__sin_x_-_sin_(2x)_=_0
Question 11 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=12.__csc^2_x_-_csc_x_-_2_=_0
Question 12 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=13.__cos^2_x_=_1_-_sin_x
Question 13 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=14.__tan_x_=_1
Question 14 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=15.__tan_(2x)_=_1
Question 15 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=16.__cos_(2x)_=_1/2
Question 16 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=17.__2sin^2_x_-_sin_x_-_1_=_0,_give_all_degree_answers
Question 17 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=18.__2_cos^2_x_+_cos_x_=_0,_give_all_degree_answers
Question 18 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=19.__sin_^2_x_-_1_=_0,_give_all_degree_answers
Question 19 (of 20)
Solve Trig Equations and Inverse Functions: QR Challenge
https://www.classtools.net/QR/decode.php?text=20.__1_+_sin_x_=_2_cos^2_x,_give_all_degree_answers
Question 20 (of 20)