How to Put Math Into Your Project

 

1.  Find a number with a cause -effect relationship ("A Function").

2.  Translate the relationship into 5 math languages.

3.  Predict a result.

4.  Use the math to discover an interesting conclusion.

5.  Communicate your results clearly.

 

Five Math Languages

1.  Words

2.  Table

3.  Graph

4.  Equation

5. System Dynamics Model

 

Example

 

1.  Words:  Traveling to the Camp Grant Massacre, the group of attackers left Ft. Lowell in Tucson traveling on horseback at an average rate of 4 miles per hour.

 

2.  Table:

 

Time in hours (T)

Distance in miles (D)

0

0

1

4

2

8

3

12

 

3.  Graph:

 

 

4.  Equation:

 

D = 4 T

 

T = time in hours

D = distance in miles

 

5.  Systems Dynamics Model:

 

 

 

Prediction:  After 12 hours the attackers will  have traveled 48 miles.  Camp Grant is a distance of 70 miles from Ft. Lowell by the Reddington Route, so it will take them 70/4 = 17.5 hours of traveling to reach Camp Grant.

 

Conclusion:  Seventeen hours is a long time to travel in one day.  The attackers will probably need to camp overnight on the way to Camp Grant.