functions COMIC
Storyboard Text
- The Sine Graph
- ?
- The Sine Function Transformations
- [Parent] - f(x) = sin(x)[Transformered] - f(x) = a sin{k(x-c)} + d
- You really need to focus more in-class. Come see me after school for help.
- Kids! We learned the basics of the sine and cosine functions in class last week. Today, while you have fun across the amusement park, try to connect to real-life applications! Have Fun! and stay Safe!
- How are we supposed to link those stupid graphs to real-life stuff?!
- Let's just have fun like those two and figure it out as we go!
- WHOOAA
- We were supposed to be having fun here, not doing math! EWW!
- A Few Moments LaterThe Class Regroups
- Did anyone have any luck connecting to real life examples of trig functions?
- It's ok if you didnt get it. Good thinking Zendeya, thats the exact example i was hinting towards. Now, class before we go get lunch and head back to school, i would like you guys to estimate or measure 3 things -- The time it takes for the ferris wheel to comple own full cycle- the high of the boarding platform above the group - Estimate or ask the staff for the aproximate radius of the wheel- and lastly the height of the Ferris wheelWe well regroup here in 20 minutes before heading to lunch! Get to it!
- Sir, i was riding the ferris wheel earlier and realized that the height of the rider over time, relative to the ground can be expressed using a sin/cosine function. But im not too sure how to relate the transformations with the real-live elements.
- No Luck Sir.
- ?!
- That's about 4m metres off the ground
- I can still guess that the radius is around 13 m. That wheel looks as though it has 26 m as a diameter.
- I tried asking the speed and diameter of the ferris wheel but none of the staff know. Now everyone is avoiding me :(
- I don't know any math, nor do i contibute much in class discussion, but the least i can do is measure the time for one spin with my phone...It's taking close to 1.5 mins to complete one cycle. Should be all we need for the time element.
- I can easily calculate the height of that wheel with trig. Im about 25m away and the tip of the ride makesa rough 50* angle with my shoes. The height of the structure can be x. Using the tan ratio - tan50 = x/25x=29.79So, the max height of the ferris wheel is approximately 30 m. Ez as that!
- I've contributed enough for today...
- A Few Moments LaterThe Class Regroups
- Alright kids, lets go get lunch and we can record and talk about your observations at the food court!
- LETS GOO!
- ?!
- Alright kids, write down your observations for the three variable i asked you to calculate. Once your done, get this sheet back to me. Go get your food and we will head back to school.
- 1. Time is roughly 1.5 mins for one revolution2. Boarding platform is 4m above the ground3. Radius is 13 m4. The structure is roughly 30m high
- 1. Time is roughly 1.5 mins for one revolution2. Boarding platform is 4m above the ground3. Radius is 13 m4. The structure is roughly 30m high
- with the help of the class' observation, we can calculate all the a.k.c.d transformations as such.
- Using those calculation we can generate this equation and graph the realtive graph. And would sum up the real-life applications of trig functions
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