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Derived Quantities

Derived Quantities. Vocabulary & Examples. A Derived Quantity. is a number that comes from (is derived from) the ratio of other numbers (quantities). Density. The unit weight of a material. Weight divided by Volume. Water: Wood: Stone:. Density. The unit weight of a material.

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Derived Quantities

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  1. Derived Quantities Vocabulary & Examples

  2. A Derived Quantity is a number that comes from (is derived from) the ratio of other numbers (quantities).

  3. Density • The unit weight of a material. • Weight divided by Volume. • Water: • Wood: • Stone:

  4. Density • The unit weight of a material. • Weight divided by Volume. • Water: D = 1.0 g/ml • Wood: D = 0.6 g/ml • Stone: D = 2.2 g/ml

  5. Density Example Mr Deemer weighs 175 pounds. If you put Mr Deemer in a dunk tank he would displace about 5 cubic feet of water. Find Mr Deemer’s density in lb/ft3 and oz/in3.

  6. Rate of Change • A unit rate based on time • The amount of change over the time Rate of Change

  7. RoC Example Zach was 5’8’ tall on Sep 1. On May 1 he was 6’ tall. What are his monthly and annual growth rates?

  8. Velocity • Speed in a specified direction is velocity Distance

  9. Velocity Example • Find the velocity of a train that takes 3 hours to travel 150 miles from Traverse City to Grand Rapids. South

  10. Velocity Example Find the velocity of a plane flying on the grid below from the point (-3,2) to (5,-4) if it takes 1.5 hours and the grid lines are 100 miles apart. North East West South

  11. Velocity Example Find the velocity of a plane flying on the grid below from the point (-3,2) to (5,-4) then on to (-3,-6) if it takes 4 hours and the grid lines are 100 miles apart. North East West South

  12. Sum of numbers Quantity of numbers Sum of numbers/weight products Weighted Quantity Weighted Average Average computed by multiplying each data item by a weighting factor. Mean Average = Weighted Average =

  13. Weighted Averages Example: In college, GPA is a weighted average. Grades are assigned numbers that are weighted by the number of “credit hours” that each course is worth.

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