Trig Identity Match-Up Activity
Saturday, August 17, 2019
Activities,
Group Work,
lessons,
Matching Activity,
Precalculus,
printable,
Trig,
Trig Identities,
Trigonometry
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A few weeks ago, I tweeted well-nigh a trig identity match-up action I created. I promised to part the files, then that is what I am doing today. Sorry it's late! This is a unlike action than the trig identity grouping challenge I shared a twosome of weeks ago. In fact, I genuinely used this matching action start in addition to the grouping challenge 2 days afterwards it.
When my start day's introduction to trig identities went over much worse than I had hoped, I turned to i of the trig textbooks past times my desk for inspiration. This isn't the mass that my district has currently adopted (we are using Demana in addition to Waits Precalculus), but it was left behind past times the previous instructor from the days when my schoolhouse offered a semester of Trigonometry in addition to a semester of Pre-Calculus instead of a year-long Pre-Calculus course of didactics that encompasses both.
The start gear upward of matching cards were the easiest in addition to required the to the lowest degree total of travel on the business office of the students. The role of these questions was simply to familiarize students amongst their canvas of trig identities.
These correlate amongst the start matching business that caught my eye.
For this gear upward of cards, I cutting each bill of fare individually then that pupil groups were given 10 cards to house inward 5 pairs. For example, tan x would live on paired amongst (sin x)/(cos x).
After giving students this initial gustatory modality of success, they were moved to the side past times side flat of cards that required substantial rewriting in addition to simplifying using trig identities.
To brand this business less daunting, I cutting the matching cards differently than the start level.
Groups were given a gear upward of 5 connected cards that could live on idea of every bit the 5 problems they needed to solve. Then, they were given 5 liberate cards which each matched amongst i of the problems on the connected card.
Having the job cards in addition to the reply cards separated made the transition easier for students. They knew that they needed to rewrite each human face until they arrived at i of the answers inward their reply bank.
This minute flat in addition to the side past times side 3 levels all came direct from the banking corporation of problems inward the textbook.
Level 3:
Level 4:
The 5th in addition to finally flat of matching returned to the shape of Level 1. These were based on the minute matching business from the textbook. These were a chip harder inward that students didn't receive got a clear reply banking corporation to select from similar amongst levels 2-4. Instead, they had to house the 10 cards into 5 pairs.
Because I've done then many grouping activities similar this amongst my pre-calculus classes this year, I was able to pretty much simply give them the start handbag of cards in addition to allow them go.
As you lot tin run across from the pictures, I did say them to direct grip of dry out erase boards earlier nosotros started. Though, they are then used to using the dry out erase boards that I imagine they would receive got all grabbed i fifty-fifty if I hadn't said anything!
It was interesting to run across the unlike groups of students accept unlike approaches every bit they worked. In simply about groups, all the students worked on the same job earlier moving on to the side past times side problem. In other groups, they form of divvied upward the problems in addition to each worked a unlike one. When a pupil struggled amongst their problem, the residual of the grouping jumped into assist in addition to offering advice.
I volition banker's complaint that at that spot was i major downside to how I structured this activity. In simply about groups, they would travel the start 3 problems. Then, they would gauge at the answers to the finally 2 problems. When I came past times to banking corporation check their work, if I said at that spot was a mistake, they would simply merchandise the answers to the finally 2 problems. I solely saw this direct house a twosome of times, but it did annoy me. That's in all probability why the activity I did the side past times side day solely gave students i job at a fourth dimension then they had to travel out the entire problem!
One agency to counteract this would to give students a canvas of newspaper to tape their working on that had to live on turned inward for a grade. But, I hollo back the dry out erase boards are a super useful tool for students when they start start working on trig identities. Until you've verified a BUNCH of trig identities, it tin live on daunting to figure out where to start in addition to what substitutions to use.
I ofttimes uncovering myself telling students that the travel they receive got done then far isn't wrong, it simply hasn't got them to where they desire to be. For example, tan x tin live on replaced past times 1/cot x or sin x/cos x. For many students, it is unclear at start when each exchange should live on used.
The other science that my students tended to combat amongst was knowing when to apply the pythagorean identities instead of rewriting everything inward damage of sines/cosines.
Some groups finished good earlier the cease of the shape period. Other groups got stuck on a flat in addition to did non cease upward completing all the levels. I did this action on a Fri which meant nosotros had 45 infinitesimal periods instead of our normal 50 infinitesimal periods.
Levels 1 in addition to 5 were the hardest to banking corporation check because the students had their 5 pairs inward whatever position out of unlike orders.
Levels 2-4 were super slow to banking corporation check since I had left the questions connected to i another.
My students responded genuinely positively to this activity, in addition to I definitely innovation on using it i time again inward the future.
I genuinely ended upward typing upward simply about of the same problems from this grouping action every bit a worksheet for my students to tackle individually every bit a follow-up to this action the solar daytime after. This sneaky instructor was excited they didn't fifty-fifty realize they were the same problems!
When my start day's introduction to trig identities went over much worse than I had hoped, I turned to i of the trig textbooks past times my desk for inspiration. This isn't the mass that my district has currently adopted (we are using Demana in addition to Waits Precalculus), but it was left behind past times the previous instructor from the days when my schoolhouse offered a semester of Trigonometry in addition to a semester of Pre-Calculus instead of a year-long Pre-Calculus course of didactics that encompasses both.
In it, I industrial plant life simply about matching activities that I genuinely liked.
After a chip of typing, I had created a matching activity. (Note: the 2 columns are scrambled. I did this then you lot could receive got kids cutting apart the cards if necessary.)
Then, I decided to become a pace farther in addition to type upward the non-matching questions every bit additional matching activities.
I also typed upward a page of identities for my students to job every bit a reference in addition to cash inward one's chips on inward their binders afterwards the action for hereafter reference.
In total, I ended upward creating 5 levels of trig identity matching cards. I color coded each flat in addition to placed them inward envelopes at the front end of the classroom. When a grouping finished amongst i level, I would banking corporation check their answers. If they were correct, they would exchange their electrical flow color for the side past times side color. If they were incorrect, they would travel together to uncovering their mistakes earlier moving on.
Then, I decided to become a pace farther in addition to type upward the non-matching questions every bit additional matching activities.
I also typed upward a page of identities for my students to job every bit a reference in addition to cash inward one's chips on inward their binders afterwards the action for hereafter reference.
In total, I ended upward creating 5 levels of trig identity matching cards. I color coded each flat in addition to placed them inward envelopes at the front end of the classroom. When a grouping finished amongst i level, I would banking corporation check their answers. If they were correct, they would exchange their electrical flow color for the side past times side color. If they were incorrect, they would travel together to uncovering their mistakes earlier moving on.
The start gear upward of matching cards were the easiest in addition to required the to the lowest degree total of travel on the business office of the students. The role of these questions was simply to familiarize students amongst their canvas of trig identities.
These correlate amongst the start matching business that caught my eye.
For this gear upward of cards, I cutting each bill of fare individually then that pupil groups were given 10 cards to house inward 5 pairs. For example, tan x would live on paired amongst (sin x)/(cos x).
After giving students this initial gustatory modality of success, they were moved to the side past times side flat of cards that required substantial rewriting in addition to simplifying using trig identities.
To brand this business less daunting, I cutting the matching cards differently than the start level.
Groups were given a gear upward of 5 connected cards that could live on idea of every bit the 5 problems they needed to solve. Then, they were given 5 liberate cards which each matched amongst i of the problems on the connected card.
Having the job cards in addition to the reply cards separated made the transition easier for students. They knew that they needed to rewrite each human face until they arrived at i of the answers inward their reply bank.
This minute flat in addition to the side past times side 3 levels all came direct from the banking corporation of problems inward the textbook.
Level 3:
The 5th in addition to finally flat of matching returned to the shape of Level 1. These were based on the minute matching business from the textbook. These were a chip harder inward that students didn't receive got a clear reply banking corporation to select from similar amongst levels 2-4. Instead, they had to house the 10 cards into 5 pairs.
Because I've done then many grouping activities similar this amongst my pre-calculus classes this year, I was able to pretty much simply give them the start handbag of cards in addition to allow them go.
As you lot tin run across from the pictures, I did say them to direct grip of dry out erase boards earlier nosotros started. Though, they are then used to using the dry out erase boards that I imagine they would receive got all grabbed i fifty-fifty if I hadn't said anything!
It was interesting to run across the unlike groups of students accept unlike approaches every bit they worked. In simply about groups, all the students worked on the same job earlier moving on to the side past times side problem. In other groups, they form of divvied upward the problems in addition to each worked a unlike one. When a pupil struggled amongst their problem, the residual of the grouping jumped into assist in addition to offering advice.
I volition banker's complaint that at that spot was i major downside to how I structured this activity. In simply about groups, they would travel the start 3 problems. Then, they would gauge at the answers to the finally 2 problems. When I came past times to banking corporation check their work, if I said at that spot was a mistake, they would simply merchandise the answers to the finally 2 problems. I solely saw this direct house a twosome of times, but it did annoy me. That's in all probability why the activity I did the side past times side day solely gave students i job at a fourth dimension then they had to travel out the entire problem!
One agency to counteract this would to give students a canvas of newspaper to tape their working on that had to live on turned inward for a grade. But, I hollo back the dry out erase boards are a super useful tool for students when they start start working on trig identities. Until you've verified a BUNCH of trig identities, it tin live on daunting to figure out where to start in addition to what substitutions to use.
I ofttimes uncovering myself telling students that the travel they receive got done then far isn't wrong, it simply hasn't got them to where they desire to be. For example, tan x tin live on replaced past times 1/cot x or sin x/cos x. For many students, it is unclear at start when each exchange should live on used.
The other science that my students tended to combat amongst was knowing when to apply the pythagorean identities instead of rewriting everything inward damage of sines/cosines.
Some groups finished good earlier the cease of the shape period. Other groups got stuck on a flat in addition to did non cease upward completing all the levels. I did this action on a Fri which meant nosotros had 45 infinitesimal periods instead of our normal 50 infinitesimal periods.
To cash inward one's chips on myself sane piece checking each group's work, I made myself a picayune reply telephone exchange mass of sorts.
Levels 1 in addition to 5 were the hardest to banking corporation check because the students had their 5 pairs inward whatever position out of unlike orders.
Levels 2-4 were super slow to banking corporation check since I had left the questions connected to i another.
I genuinely ended upward typing upward simply about of the same problems from this grouping action every bit a worksheet for my students to tackle individually every bit a follow-up to this action the solar daytime after. This sneaky instructor was excited they didn't fifty-fifty realize they were the same problems!
Want to attempt this action amongst your ain students? I've uploaded the formula sheet, the matching activities, in addition to the worksheet I mentioned here.
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