1. Gradient (or slope) -The rate of change in field values between two points on a field map. - How gentle or steep the land is Steep slope – lines are closer together Gentle slope – lines are farther apart

2. Formula for Calculating Gradient (Formula from the ESRT, pg 1)

3. Gradient examples - -A hiker gains 250 meters in altitude by climbing a mountain from the valley. The peak is 5 km from the valley. What is the gradient of the mountain side? (First copy the formula from your ESRT)

4. Gradient examples - Change in field value = 250 meters Distance = 5 kilometers 250 meters 5 kilometers Gradient = Gradient = 50 m/km

5. Closure : Complete worksheet Gradient Problems.

6. Answers: 1. 2. 160 ft. – 142 ft. = 300 miles =.06 ft/mile

7. 3. 65 ft. – 58 ft. = 42 miles =.167 ft/mile

8. 4. 750 miles = 1500 miles =.5 mile/mile

9. 5. 298 ft. – 292 ft. = 900 miles =.0067 ft/mile

10. 6. 400 ft. – 300 ft. = 4 miles = 25 ft/mile