Google Classroom
GeoGebraGeoGebra Classroom

Math Modeling Task

Task-1 Data Collection

Math Modeling: The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences. Step-1 Use the Internet or other relevant sources to collect the data Example: Average Age Vs Average Heights of Male or Female Step-2 Enter your data like Points (x,y). x can be the first Variable. Two points are plotted for you ( You may edit them based on your data ) or you create lists Type ----     listA= {x1, x2, x3,……  x10}    x1, x2 are all x-values Type------   listB= {y1,y2,y3,y4,…….y10}    y1, y2, y3 are y-values Type------  ( listA, listB)    to see all the points as coordinates
Step-3 Use FitPoly( ) command in GeoGebra to get the Graph through the points. Linear Curve: FitLine( list of pairs of Coordinates) Polybomial: FitPoly({A,B,C,D,E},n) n : degree of polynomial if you are not sure what n should be, then type FitPoly({A,B,C,D,E}) Now onwards: You may Answer the following questions on a paper as well. ( Choice is yours)

Question

Q1- Which type of function is best fit for your data plotted

Select all that apply
  • A
  • B
  • C
  • D
  • E

Question

Q-2 Go to the GeoGebra applet and see what is your function, type here ( Use fx to type in math)

Question

Q-3 See if you need to control the function to make a perfect fit.

Select all that apply
  • A
  • B

Question

Q-3 See if you need to control the function to make a perfect fit.

Select all that apply
  • A
  • B

Question

Q-4 Use your best fit function and make a prediction for any value of x (which is not in your collected data). For example: if your x-values are from 4 to 15 then predict for x= 20 ( which is out of the domain) Please indicate both x and y values.

Question

Q-5 What do you think, your predicted value justifies your data or problem. Please explain