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QR Challenge: Finding equations of straight lines

Created using the ClassTools QR Treasure Hunt Generator

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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

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. If the intercept is 4 and the gradient is 2 what is the equation of the line?y=2x+4
2. If the gradient of a line is -3 and the intercept is 5 what is the equation of the line?y=-3x+5
3. Look at your answer sheet and work out the gradient using the triangle given remember its rise/run (how much it goes up divided by how much it goes down)gradient=2
4. Look at your answer sheet and work out the gradient using the triangle given remember its rise/rungradient=5
5. Try to draw the triangle that goes between the coordinates (3,5) and (5,11) and work out the gradient from itgradient=3
6. A line has a gradient of 2 so starts with y=2x+c. Substitute the coordinates (4,11) into the equation to find out what the value of c must be. This finds you the intercept of the linec=3
7. A line has a gradient of 3. Find the value of c when you substitute in the coordinates (2,5)c=-1
8. Write the full equation of the line to question 7 remember its in the form y=mx+cy=3x-1
9. Calculate the gradient of the line which passes through (3, -2) and (5, 6) remember to think about/draw the traingle.gradient=1
10. You should have found that the gradient to question 8 was 1 so y=1x+c. Substitute in (5,6) to find cc=1
11. Now write the answers to questions 9 and 10 into 1 equation of the liney=x+1
12. Use everything you have just learnt to find the equation of the line that passes through (2,7) and (5,16). Remember find gradient, then substitute into find the intercept c and then put into an equation.y=3x+1

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_the_intercept_is_4_and_the_gradient_is_2_what_is_the_equation_of_the_line?

Question 1 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_the_gradient_of_a_line_is_-3_and_the_intercept_is_5_what_is_the_equation_of_the_line?

Question 2 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Look_at_your_answer_sheet_and_work_out_the_gradient_using_the_triangle_given_remember_its_rise/run_(how_much_it_goes_up_divided_by_how_much_it_goes_down)

Question 3 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Look_at_your_answer_sheet_and_work_out_the_gradient_using_the_triangle_given_remember_its_rise/run

Question 4 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Try_to_draw_the_triangle_that_goes_between_the_coordinates_(3,5)_and_(5,11)_and_work_out_the_gradient_from_it

Question 5 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=A_line_has_a_gradient_of_2_so_starts_with_y=2x+c._Substitute_the_coordinates_(4,11)_into_the_equation_to_find_out_what_the_value_of_c_must_be._This_finds_you_the_intercept_of_the_line

Question 6 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=A_line_has_a_gradient_of_3._Find_the_value_of_c_when_you_substitute_in_the_coordinates_(2,5)

Question 7 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Write_the_full_equation_of_the_line_to_question_7_remember_its_in_the_form_y=mx+c

Question 8 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Calculate_the_gradient_of_the_line_which_passes_through_(3,_-2)_and_(5,_6)_remember_to_think_about/draw_the_traingle.

Question 9 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=You_should_have_found_that_the_gradient_to_question_8_was_1_so_y=1x+c._Substitute_in_(5,6)_to_find_c

Question 10 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Now_write_the_answers_to_questions_9_and_10_into_1_equation_of_the_line

Question 11 (of 12)

 


Finding equations of straight lines: QR Challenge

https://www.classtools.net/QR/decode.php?text=Use_everything_you_have_just_learnt_to_find_the_equation_of_the_line_that_passes_through_(2,7)_and_(5,16)._Remember_find_gradient,_then_substitute_into_find_the_intercept_c_and_then_put_into_an_equation.

Question 12 (of 12)