B Day Pre-Calculus Do Now college and career choices

Do Now due 2:30 PM
Today is Mon 5/11 “A” or Tue 5/12 “B”  Day 
DO NOW:  5/11A&5/12B: QUESTION Post-H.S. Plans

ANSWER the following with a COMPLETE paragraph.  
Use good grammar and spelling. 
What college are you planning to attend/apply to?  
What do plan to major in and why?  
What do you plan to do (job?) after college (or high school)? 
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Class:
Mui8:03 AM
Today is Mon 5/11 “A” or Tue 5/12 “B” Day

* Part 1 of your final (Projects) has been assigned
[SEE ATTACHED]
You have until this Friday, May 15, 2:30pm to complete it and turn it in.
Final Part I : Projects (50% of final grade) 
Real-Life Current Relevant Applications
 [Pre-Calc classes: DO #1a AND #2 only;  Advanced Pre-Calculus MUST also do #1b]

You may use the Final Project Review Lessons for reference, if needed.  Also, email or message me via Google ClassRoom with any questions.

#1)  BOX Project:
Many of you have received boxes from Amazon.  In fact, if you follow the news and current Coronavirus “stay at home” situation, many families are ordering more things from Amazon, as well as other companies.

#1a)  
  • Get a large box you have at home, maybe one you received recently.  YOU MUST take a picture with both YOU and the box and attach it with your final submittal (25%)

  • Get a ruler.  Please no excuses -- if you don’t have one, take a piece of looseleaf, which is normally 8½” x 11”.  You can use this to help approximate measurements.  Measure each dimension (they are inter-changeable, so you may pick any side you want for L, W, or H). 
Record them here & include the units you used: (25%)
Length= ______________
Width  =______________
Height =______________

  • Calculate the VOLUME of the box
WORK (must show all work!) (25%) ____________________________________________________________________________________________________________________________________________________________________________________

  • Report your calculated final volume, including units (25%, but 0 if no work above).  Round to TWO decimals places (even if they are zeros).
VOLUME of BOX =______________________________

  • Extra Credit: Calculate the total exterior surface area of your box.  This would be the amount of paper you would need to exactly cover or wrap this box to give as a gift, for instance (in lesson & review).  Show all work and your final answer:
  • ____________________________________________________________________________________________________________________________________________________________________________________



#1b)  [Advanced Pre-Calculus Class MUST do this] {note Rubric weightings are different, but equally distributed for your THREE required problems; each problem worth ⅓ }
  • Calculate the LONGEST INTERIOR, “corner-to-opposite corner” distance of your box above (HINT: use the Pythagorean Theorem twice!)
WORK (must show all work!) ____________________________________________________________________________________________________________________________________________________________________________________

  • Report your calculated final distance, including units.  Round to TWO decimals places (even if they are zeros).
Calculated Longest Interior Distance =_____________________________

  • USE your ruler to measure (you can use a string taped from one corner to the other opposite far corner to help)
MEASURED Longest Interior Distance =___________________________

  • Is your calculated and measured Longest Interior Distance equal or close?  Explain why or why not: ___________________________________________________________
___________________________________________________________
___________________________________________________________






#2)  Covid-19 Exponential Growth Model:
On the Monday, 3/15/2020 (the week you started being quarantined at home), there were approximately 4000 confirmed Covid-19 cases in the U.S. (4000 infected people)

One exponential model of infection (growth) uses ert as the multiplier to calculate how many total cases would be present after x number of days.

For example, let’s use an infection (growth) rate of 20% per day for ONE week, or seven days:
   ert = e(20%)(7days) = e(0.20*7) = 4.055  <<< IF PEOPLE DID NOT QUARANTINE, so the infection rate stayed high, at 20%, this means that the original 4000 cases would grow to  4000 * 4.055 = 16,200 cases after just seven days!  
*****This is why “exponential growth” increases SO rapidly!!*****

note: if you do not have an “e” or ex button, use 2.718 for the approximate value of e


Final Project Question#2:   You MUST answer all parts (a,b,c):

2a) Calculate: Starting with 4000 cases, if there was NO quarantine, and the infection rate continued to be 20%, how many total cases would there be after TWO weeks (14 days)? (34%)                         
  • WORK (must show all work!)
___________________________________________________________________________________________________________________________________________________________________________________

  • Total cases after TWO weeks (14 days)  (NO quarantine)=
_____________________________

2b) Calculate: Starting with 4000 cases, IF THERE IS A QUARANTINE, so the infection rate GOES DOWN to 15% (since everyone is “social distancing”), how many total cases would there be now after TWO weeks? (33%)                           
  • WORK (must show all work!)
___________________________________________________________________________________________________________________________________________________________________________________

  • Total cases after TWO weeks (with quarantine) =
_____________________________

2c) How many potential lives were saved because of the quarantine and by reducing the infection rate from 20% down to 15%?  (hint: use your answers to  a and b) (33%)
  • WORK (must show all work!)
___________________________________________________________________________________________________________________________________________________________________________________

  • Total potential lives saved after TWO weeks (by quarantining) =
_____________________________


IF you want to learn more about the above Covid-19 infection model, go check out this website:
“How Fast Does a Virus Spread? Let’s Do the Math
Infectious diseases grow exponentially, not linearly. The number of cases seems small—until they're not, and then it's too late.”

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