Trig Identity Grouping Challenge - Reciting The Digits Of Pi Puzzle
Saturday, August 17, 2019
Activities,
Challenge,
Group Work,
lessons,
Precalculus,
printable,
Sheet Protectors,
Trig,
Trig Identities,
Trigonometry
Edit
This yesteryear week, my pre-calculus students have got been tackling verifying trig identities. I came downwardly alongside a mutual frigidness Dominicus night, took Mon off at the insistence of my husband, as well as suffered through the balance of the week. Introducing trig identities piece ill as well as lacking energy/motivation on Tuesday was non my best as well as brightest idea. So, I spent the balance of the calendar week trying to brand upwardly for it.
Friday, I did a grouping action alongside my students that I'm super proud of. So, I'm excited to part it hither on the weblog today.
This action started alongside a unproblematic google search for a trig identity puzzle.
The first result was an respond fundamental to a joke worksheet. I constitute several other copies of the same worksheet online from dissimilar sources, then I'm non who to give credit to for the master copy worksheet. If you lot know who credit is due to, delight permit me know!
Immediately, I was mesmerized. Why don't my respond keys always await this nice?!? I was also amused yesteryear the fun fact that would travel discovered yesteryear solving the problems. I'd only given my students a trig identity worksheet on Thursday, then I didn't desire to exercise the same affair again. Plus, I was reminded the concluding fourth dimension nosotros did a joke worksheet a few weeks agone that teenagers cannot resist shouting the respond at the overstep of their lungs when they figure out the answer!
The questions were great, then I decided a petty action make-over was inwards order. Here's how I went most turning this joke worksheet into an action that kept most of my groups engaged for almost the entire 45 infinitesimal period. Influenza A virus subtype H5N1 yoke of groups did destination early, as well as a few groups did non destination the entire activity. I've had a skilful reveal of students out of degree for diverse reasons, then many students were spending a skilful chunk of the hr helping their classmates sympathise how to verify trig identities because they had missed several days this week. So, I'm totally okay alongside the fact that these groups did non finish.
With a petty combat of time, colored paper, as well as a laminator, I was able to plow this worksheet into a grouping action that my students ended upwardly comparison to Wheel of Fortune.
The twelve problems from the worksheet were each printed on a dissever canvas of newspaper alongside a challenge reveal at the overstep that corresponded to the work reveal on the worksheet.
I ran out of fourth dimension to laminate these challenge pages, then I only slipped them into canvas protectors. This ended upwardly working remarkably well. I printed ii sets of the challenge cards then that ii groups could operate on the same work at the same fourth dimension if they needed to. This is a lesson I've learned the difficult agency from designing other activities this year.
Because I kept the numbering from the worksheet, I was able to only impress off the answer fundamental I constitute online as well as role it equally my ain personal respond fundamental for checking students' operate during the grouping activity.
Next, I typed upwardly the enquiry that students would travel attempting to respond throughout the activity. I laminated a re-create for each group, but this was in all likelihood unnecessary. You could also only projection the enquiry for students to read/discuss earlier showtime the activity.
I had my students brand predictions most what the right respond mightiness travel earlier showtime the activity. Some of my students stance that figuring this out yesteryear performing calculations as well as estimations was the activity. I genuinely enjoyed listening to their attempts at answering this question.
Each grouping received a handbag of cards to serve equally their "answer bank." There are 10 possible answers as well as 12 challenges, then to a greater extent than or less answers may travel used to a greater extent than than once. The previous day, nosotros had verified trig identities where I told them just what the respond was. Students had to demo the procedure to acquire from i side of the identity to the other side. This action was to a greater extent than complex inwards that students didn't know just what they were working towards. Instead, they were simplifying the given identity until it matched i of the answers inwards their bank.
The concluding chemical ingredient of the action that I had to create was the letters that students would earn alongside each completed challenge. I pose them inwards piles on my desk yesteryear missive of the alphabet to brand handing them out easier.
Each completed challenge would earn them a specific missive of the alphabet (as specified on the master copy joke worksheet). One to a greater extent than affair that I want I would have got created would travel a tracking canvas for groups to hold rails of what challenges they had as well as hadn't completed. The stance had crossed my heed piece creating this activity, but I got side tracked as well as it ended upwardly non happening.
I had i pupil inwards each grouping write the numbers 1-12 on their dry out erase board then they could erase/mark out each challenge equally they completed it. This worked good enough, but a dedicated tracking canvas would have got been nice. It would also travel a skilful agency to have got a degree for this action if you lot wanted to.
After nosotros discussed their guesses to the enquiry at mitt (On Oct 4, 2006, Akira Haraguchi broke his ain tape yesteryear reciting the reveal pi to 100,000 decimal places. Approximately how long did it have got him to consummate the task?), I handed each grouping a dissimilar challenge bill of fare to begin. Each grouping tackled their work on their private dry out erase boards.
They continued rewriting as well as simplifying their given facial expression until it matched i of the 10 expressions inwards their respond bank.
When a grouping stance that they had successfully completed a challenge, they would select the challenge bill of fare as well as the corresponding bill of fare from the respond banking corporation to my desk. If they were correct, I would give them a missive of the alphabet to attention them respond the question. If they were incorrect, they returned to their desk to rework the work alongside their group.
The most amusing business office of this action was getting to picket them approximate what the respond to the puzzle mightiness travel equally they started gathering letters.
Some groups at nowadays tried to adapt their letters to cast the answer. And, they revised their approximate alongside each novel letter. Other groups, tossed the letters inwards a pile as well as focused alone on completing equally many of the challenges equally rapidly equally possible.
Friday, I did a grouping action alongside my students that I'm super proud of. So, I'm excited to part it hither on the weblog today.
This action started alongside a unproblematic google search for a trig identity puzzle.
The first result was an respond fundamental to a joke worksheet. I constitute several other copies of the same worksheet online from dissimilar sources, then I'm non who to give credit to for the master copy worksheet. If you lot know who credit is due to, delight permit me know!
 |
| Image Source: https://www.cabarrus.k12.nc.us/cms/lib09/NC01910456/Centricity/Domain/4422/Basic%20Trig%20Identities%20Practice%20KEY.pdf |
The questions were great, then I decided a petty action make-over was inwards order. Here's how I went most turning this joke worksheet into an action that kept most of my groups engaged for almost the entire 45 infinitesimal period. Influenza A virus subtype H5N1 yoke of groups did destination early, as well as a few groups did non destination the entire activity. I've had a skilful reveal of students out of degree for diverse reasons, then many students were spending a skilful chunk of the hr helping their classmates sympathise how to verify trig identities because they had missed several days this week. So, I'm totally okay alongside the fact that these groups did non finish.
With a petty combat of time, colored paper, as well as a laminator, I was able to plow this worksheet into a grouping action that my students ended upwardly comparison to Wheel of Fortune.
I ran out of fourth dimension to laminate these challenge pages, then I only slipped them into canvas protectors. This ended upwardly working remarkably well. I printed ii sets of the challenge cards then that ii groups could operate on the same work at the same fourth dimension if they needed to. This is a lesson I've learned the difficult agency from designing other activities this year.
Because I kept the numbering from the worksheet, I was able to only impress off the answer fundamental I constitute online as well as role it equally my ain personal respond fundamental for checking students' operate during the grouping activity.
Next, I typed upwardly the enquiry that students would travel attempting to respond throughout the activity. I laminated a re-create for each group, but this was in all likelihood unnecessary. You could also only projection the enquiry for students to read/discuss earlier showtime the activity.
I had my students brand predictions most what the right respond mightiness travel earlier showtime the activity. Some of my students stance that figuring this out yesteryear performing calculations as well as estimations was the activity. I genuinely enjoyed listening to their attempts at answering this question.
Each grouping received a handbag of cards to serve equally their "answer bank." There are 10 possible answers as well as 12 challenges, then to a greater extent than or less answers may travel used to a greater extent than than once. The previous day, nosotros had verified trig identities where I told them just what the respond was. Students had to demo the procedure to acquire from i side of the identity to the other side. This action was to a greater extent than complex inwards that students didn't know just what they were working towards. Instead, they were simplifying the given identity until it matched i of the answers inwards their bank.
The concluding chemical ingredient of the action that I had to create was the letters that students would earn alongside each completed challenge. I pose them inwards piles on my desk yesteryear missive of the alphabet to brand handing them out easier.
Each completed challenge would earn them a specific missive of the alphabet (as specified on the master copy joke worksheet). One to a greater extent than affair that I want I would have got created would travel a tracking canvas for groups to hold rails of what challenges they had as well as hadn't completed. The stance had crossed my heed piece creating this activity, but I got side tracked as well as it ended upwardly non happening.
I had i pupil inwards each grouping write the numbers 1-12 on their dry out erase board then they could erase/mark out each challenge equally they completed it. This worked good enough, but a dedicated tracking canvas would have got been nice. It would also travel a skilful agency to have got a degree for this action if you lot wanted to.
After nosotros discussed their guesses to the enquiry at mitt (On Oct 4, 2006, Akira Haraguchi broke his ain tape yesteryear reciting the reveal pi to 100,000 decimal places. Approximately how long did it have got him to consummate the task?), I handed each grouping a dissimilar challenge bill of fare to begin. Each grouping tackled their work on their private dry out erase boards.
They continued rewriting as well as simplifying their given facial expression until it matched i of the 10 expressions inwards their respond bank.
When a grouping stance that they had successfully completed a challenge, they would select the challenge bill of fare as well as the corresponding bill of fare from the respond banking corporation to my desk. If they were correct, I would give them a missive of the alphabet to attention them respond the question. If they were incorrect, they returned to their desk to rework the work alongside their group.
I would footstep inwards as well as attention groups equally necessary. Sometimes I would examine their work. Other times, I would give them a helpful hint inwards how they mightiness approach a sure enough problem.
The most amusing business office of this action was getting to picket them approximate what the respond to the puzzle mightiness travel equally they started gathering letters.
Some groups at nowadays tried to adapt their letters to cast the answer. And, they revised their approximate alongside each novel letter. Other groups, tossed the letters inwards a pile as well as focused alone on completing equally many of the challenges equally rapidly equally possible.
I exercise believe that I got to a greater extent than appointment from my students alongside this action than I would have got gotten if I had only handed out the worksheet equally it was written. I definitely got a improve feel of what my students understood as well as what they were withal struggling alongside than I would have got from a pile of papers to grade. I await forrard to creating to a greater extent than activities similar this inwards the future!
Want the files to give this action a shot inwards your ain classroom? I have got uploaded them here.
First You got a great blog .I will be interested in more similar topics. i see you got really very useful topics, i will be always checking your blog thanks. also visit trig half angle identities
ReplyDelete