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QR Challenge: Pythagorean Word Problems

Created using the ClassTools QR Treasure Hunt Generator

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. The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the sliding board?
2.
3. The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?
4.
5. In shop class, you make a table. The sides of the table measure 36" and 18". If the diagonal of the table measures 43", is the table “square”? (In construction, the term "square” just means the table has right angles at the corners.)
6.
7. In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?
8.
9. A baseball “diamond” is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner “out”? Given this information, explain why runners more often try to steal second base than third.
10.
11. Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. Calculate and describe how you could figure out the width of the laptop to the nearest tenth inch.
12.
13. During a football play, DeSean Jackson runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Michael Vick. On the opposing team, a defender who started 20 yards across the field from Jackson saw the play setup and ran a slant towards Jackson. What was the distance the defender had to run to get to the spot where Jackson caught the ball?
14.
15. In construction, floor space must be planned for staircases. If the vertical distance between the first and second floors is 3.6 meters, and a contractor is using the standard step pattern of 28 cm wide for 18 cm high, then how many steps are needed to get from the first to the second floor and how much linear distance (ie “width” or “base”) will be needed for the staircase? What is the length of the railing that would be attached to these stairs?

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=The-slide-at-the-playground-has-a-height-of-6-feet.-The-base-of-the-slide-measured-on-the-ground-is-8-feet.-What-is-the-length-of-the-sliding-board?

Question 1 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 2 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=The-bottom-of-a-13-foot-straight-ladder-is-set-into-the-ground-5-feet-away-from-a-wall.-When-the-top-of-the-ladder-is-leaned-against-the-wall,-what-is-the-distance-above-the-ground-it-will-reach?

Question 3 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 4 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=In-shop-class,-you-make-a-table.--The-sides-of-the-table-measure-36"-and-18".--If-the-diagonal-of-the-table-measures-43",-is-the-table-“square”?--(In-construction,-the-term--"square”-just-means-the-table-has-right-angles-at-the-corners.)

Question 5 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 6 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=In-the-Old-West,-settlers-made-tents-out-of-a-piece-of-cloth-thrown-over-a-clothesline-and-then-secured-to-the-ground-with-stakes-forming-an-isosceles-triangle.-How-long-would-the-cloth-have-to-be-so-that-the-opening-of-the-tent-was-6-feet-high-and-8-feet-wide?

Question 7 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 8 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=A-baseball-“diamond”-is-actually-a-square-with-sides-of-90-feet.--If-a-runner-tries-to-steal-second-base,-how-far-must-the-catcher,-at-home-plate,-throw-to-get-the-runner-“out”?-Given-this-information,-explain-why-runners-more-often-try-to-steal-second-base-than-third.

Question 9 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 10 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=Your-family-wants-to-purchase-a-new-laptop-with-a-17”-widescreen.-Since-the-17-inches-represents-the-diagonal-measurement-of-the-screen-(upper-corner-to-lower-corner),-you-want-to-find-out-the-actual-dimensions-of-the-laptop.-When-you-measured-the-laptop-at-the-store,-the-height-was-10-inches,-but-you-don’t-remember-the-width.-Calculate-and-describe-how-you-could-figure-out-the-width-of-the-laptop-to-the-nearest-tenth-inch.

Question 11 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 12 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=During-a-football-play,-DeSean-Jackson-runs-a-straight-route-40-yards-up-the-sideline-before-turning-around-and-catching-a-pass-thrown-by-Michael-Vick.-On-the-opposing-team,-a-defender-who-started-20-yards-across-the-field-from-Jackson-saw-the-play-setup-and-ran-a-slant-towards-Jackson.-What-was-the-distance-the-defender-had-to-run-to-get-to-the-spot-where-Jackson-caught-the-ball?

Question 13 (of 15)

 



Pythagorean Word Problems : QR Challenge

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

Question 14 (of 15)

 



Pythagorean Word Problems : QR Challenge

https://www.classtools.net/QR/decode.php?text=In-construction,-floor-space-must-be-planned-for-staircases.-If-the-vertical-distance-between-the-first-and-second-floors-is-3.6-meters,-and-a-contractor-is-using-the-standard-step-pattern-of-28-cm-wide-for-18-cm-high,-then-how-many-steps-are-needed-to-get-from-the-first-to-the-second-floor-and-how-much-linear-distance-(ie-“width”-or-“base”)-will-be-needed-for-the-staircase?-What-is-the-length-of-the-railing-that-would-be-attached-to-these-stairs?

Question 15 (of 15)