A1-5 Determine Linear, Quadratic, or Exponential


The training is complete, the prototypes are certified, and the track is hot. It's time for the ultimate showdown! In this lesson, we conclude our Velocity Design Lab adventure with a head-to-head race between our three vehicle classes. Welcome to the final, epic quest of the unit!

Here is the Video for Class Lesson 1-4.  Please remember I am here during Battle Hour to help you if you are stuck on anything.  Get in and get help if you are stuck!
https://drive.google.com/file/d/17jLlP0rLxl0IwFFu6qPJlsbVDhNintfw/view?usp=sharing
Link for matching Cards.
https://docs.google.com/document/d/10eJcpIZQJPnq4EHf9ZKNT2siTcGs0hQDTWNYygScSC0/edit?usp=sharing


The Grand Challenge Prototype Identification
The race is over, and the results are clear! Now it's time to file your final performance review. This will certify your status as a Master Engineer.
  
(The performance data from all three prototypes has been mixed up! Your guild must correctly sort the reports.)
Decide if Each card is Linear, Quadratic , or Exponential.  Put situations together.  Each situation should have a Scenario, Equation, Table, & Graph.  
1. 
  
2.
  
3. 
  
4.
   
5.
  
6.
  
7.
  
8.
  
9. 
  
10.
  
11. 
  
12. 
  
13. 
xy
060
155
240
315
3.460

 

14.  
xy
155
2100
3135
4160
5178
6180
7175
8160
9135
10100
1155
120

15.   
xy
060
345
630
90

16.   
xy
060
158
252
342
428
5.480

17.  
xy
0-5
155
2115
3175
4235

18.   
xy
0
17
213
323
437

19.   
xy
05
110
220
340
480
5160

20.   
xy
02
110
250
3250
41250


AA.  
BB.   

CC.  
 
DD.  
EE.  
FF.  
OO.  


PP.   
GG.   
A pinewood derby car is placed 60m from the finish line.  It has an acceleration coefficient of 2msec2 down a ramp. 

HH.  

You are 60 miles from home, and you are driving towards home at a constant speed of 5mileshr. D(t) tells how many miles are left to get home, and t is time.


Decrypting the Blueprint

Engineers, as you complete the Grand Challenge, pay attention to the blueprint fragments you unlock. The final secret of the Rocket Sled is hidden within!


The 2nd Difference is Constant 
 
 CODE Progress: E..
Engineers, a data log from a test run has been corrupted by a system glitch! Analyze the data, identify the pattern, and find the one incorrect value that breaks the sequence.   
The Incorrect Number in the Table that is incorrect is      
t (time)D(t) (Distance at time t)
03
14
25
36
45
58
 CODE Progress: Ex
The Rate of Change is Constant   

 CODE Progress: Expo..
The SECOND Rate of Change is constant 
 CODE Progress: Expone..
SET 1 
has 
SET 2
has 
SET 3
has  
SET 4
has 
SET 5
has 
          
          
Create a Table and find the first and second Rates Of Change.  If there is none, leave the box blank.
xy
First Rate
Of Change
Second Rate
Of Change
0 

   
   
    
    





 CODE Progress: Exponent..



EXPLICIT RULE EQUATION
   
 CODE Progress: Exponential..

Possible SCENARIO Situation.  Write a Complete Sentence.  
   
Graph for Situation   
 CODE Progress: Exponential..



In an explicit equation, the highest exponent is 2.
 
 CODE Progress: Exponential Gr
The Graph is a Line  
CODE Progress: Exponential Grow...
Engineers, we've received three reports from the test track. Read the description of the vehicle's performance and identify which prototype it describes.  A prototype's performance data shows that the increase in its distance gets larger by the same amount every second. Which vehicle is this?
Cruise Control Car (Linear)   
​​Gravity Racer (Quadratic)   
​​Rocket Sled (Exponential)   

    
#56062;
CODE Progress: Exponential Growth..
The graph is a parabola  
#56062;
CODE Progress: Exponential Growth Wi...
In a table, the y-values are multiplied by the same value each time x increases. 

   
CODE Progress: Exponential Growth Will...
In an Explicit Equation, the variable is in the exponent. 

  
CODE Progress: Exponential Growth Will Always..

Engineers, we have the initial performance data from a new Rocket Sled test. Based on its multiplying pattern, you must predict its position at a future time. A Rocket Sled's test run begins. Its distance at seconds 0, 1, and 2 is  6 , 18, and  54 meters.  Based on this pattern, what will its distance be at 4 seconds?     

CODE Progress: Exponential Growth Will Always Win! 
Well Done Engineers!  EXPONENTIAL POWER! FINAL LEVEL CONQUERED!