QR Challenge: Merged Chapter 6 and 7 Review
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. State a negative co-terminal angle to 5pi/4 | -3pi/4
|
2. The acute reference angle of 11pi/3 is | pi/3
| 3. Find the exact value of sin(7pi/4) | -sqrt(2)/2
| 4. Convert 21 degrees to radians (2 decimals) | 0.37
| 5. Convert 5.2 radians to degrees (2 decimals) | 297.94
| 6. Convert 320 degrees to radians (exact answser) | 16pi/9
| 7. Convert 11pi/4 to degrees | 495
| 8. Use compound angle formulas to find the exact value of sin(11pi/6) | 1/2
| 9. Solve the equation sinx=-.5, where x is in the interval [0,2pi] | 7pi/6 and 11pi/6
| 10. Solve the equation cos2x=.5, where x is in the interval [0,2pi] | pi/6 and 5pi/6 and 7pi/6 and 11pi/6
| 11. Solve the equation cos2x+sinx=0, where x is in the interval [0,2pi] | 7pi/6 and 11pi/6 and pi/2
| 12. Simplify sin(x-pi/2)-cos(x+pi) | 0
| 13. Solve the equation tanx=-8.4, where x is in the interval [0,5pi/2](2 decimals) | 1.69 and 4.83
| 14. The average annual snowfall in Hamilton is given by the function S(t)=10cos((pi/5)t)+20 where S represents the annual snowfall in cm and t represents the number of years since 1970. In which years, between 1970 and 2000 did the minimum amount of snow fall? | 1975, 1985, 1995
| 15. The depth of water on the shore of a beach varies as the tide moves in and out. It can be modeled with the equation D(t)=0.75cos((pi/6)t)+1.5. Where D is in meters and t is in hours. When will the depth be 2 meters in the first cycle? | 1.6 and 10.4 hours
| 16. Angle x lies in Quadrant 3 and tanx=7/24. Find the exact value of cos2x. | 527/625
| 17. The tip of the blade of a windmill reaches its minimum height of 8m above the ground at a time of 2 seconds. Its maximum height is 22m above the ground. The tip of the blade rotates 720 times per hour. For how long is the tip of the blade above 17m in the first 10 seconds? | 4.078 seconds |
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=State_a_negative_co-terminal_angle_to_5pi/4
Question 1 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=The_acute_reference_angle_of_11pi/3_is
Question 2 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Find_the_exact_value_of_sin(7pi/4)
Question 3 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Convert_21_degrees_to_radians_(2_decimals)
Question 4 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Convert_5.2_radians_to_degrees_(2_decimals)
Question 5 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Convert_320_degrees_to_radians_(exact_answser)
Question 6 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Convert_11pi/4_to_degrees
Question 7 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Use_compound_angle_formulas_to_find_the_exact_value_of_sin(11pi/6)
Question 8 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Solve_the_equation_sinx=-.5,_where_x_is_in_the_interval_[0,2pi]
Question 9 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Solve_the_equation_cos2x=.5,_where_x_is_in_the_interval_[0,2pi]
Question 10 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Solve_the_equation_cos2x+sinx=0,_where_x_is_in_the_interval_[0,2pi]
Question 11 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Simplify_sin(x-pi/2)-cos(x+pi)
Question 12 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Solve_the_equation_tanx=-8.4,_where_x_is_in_the_interval_[0,5pi/2](2_decimals)
Question 13 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=The_average_annual_snowfall_in_Hamilton_is_given_by_the_function_S(t)=10cos((pi/5)t)+20_where_S_represents_the_annual_snowfall_in_cm_and_t_represents_the_number_of_years_since_1970.__In_which_years,_between_1970_and_2000_did_the_minimum_amount_of_snow_fall?
Question 14 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=The_depth_of_water_on_the_shore_of_a_beach_varies_as_the_tide_moves_in_and_out.__It_can_be_modeled_with_the_equation_D(t)=0.75cos((pi/6)t)+1.5.__Where_D_is_in_meters_and_t_is_in_hours.__When_will_the_depth_be_2_meters_in_the_first_cycle?
Question 15 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=Angle_x_lies_in_Quadrant_3_and_tanx=7/24.__Find_the_exact_value_of_cos2x.
Question 16 (of 17)
Merged Chapter 6 and 7 Review: QR Challenge
https://www.classtools.net/QR/decode.php?text=The_tip_of_the_blade_of_a_windmill_reaches_its_minimum_height_of_8m_above_the_ground_at_a_time_of_2_seconds.__Its_maximum_height_is_22m_above_the_ground.__The_tip_of_the_blade_rotates_720_times_per_hour.__For_how_long_is_the_tip_of_the_blade_above_17m_in_the_first_10_seconds?
Question 17 (of 17)
