Create your own linear scenario and problem. Have at least two parts to your problem for your
classmates to solve. Make sure you know the answer to your own problem!
Here is an example of a linear scenario and problem: A new car costs $21,000, and the car’s value
depreciates linearly to $10,500 in three years. Explain the process to write a formula that expresses the
car’s value, V, in terms of its age, t, in years. What is the car’s value in 5 years? At what point is the
formula useless? Explain. (Do NOT use this example as your linear scenario and problem.)
3.Suppose that the volume of a box is (2p3 + 15p2 + 28p) cubic feet. The height is p feet and the length is (p
- 4) feet. Explain the process to find an expression that represents the width. Based on answering this
problem, create a new scenario for your classmates to complete.
4.Teach the class how to use the greatest common factor (GCF) to simplify a polynomial expression.
Illustrate the concept with examples. Remember that teaching requires detailed explanation, as well as
the actual math.
Sample Solution