6. Review
Part Five: Reflection and Assessment
Assess your own polynomial using the rubric below:
 |
Not Meeting Zero Score |
 |
Meeting Score of 5 |
| Construction | Polynomials represent a roller coaster that is very difficult to build; the hills are too high and steep | Polynomials represent a roller coaster that is reasonable to build; the hills are rounded | |
| Attraction | Polynomial represents a roller coaster that wouldn’t attract visitors; polynomial is too simplistic and lack turning points | Polynomial represents a roller coaster that would strongly attract visitors; polynomial has more than 2 turning points | |
| Engineering | Polynomial represents a roller coaster that does not follow the physics laws; the subsequent hills surpass the height of the first hill and the hills are too close together | Polynomial represents a roller coaster that follows the physics laws; the first hill is the highest and the hills are all spaced apart | |
| Mathematical Accuracy | The polynomial coefficients and degree does not accurately depict the roller coaster | The polynomial coefficients and degree accurately depict the roller coaster |
Answer the following questions using what you have learned in this lesson by clicking on the reply button.
1. What type of polynomials best model the shape or height of a roller coaster? Explain your reasoning.(ie. positive or negative leading coefficient; linear, quadratic, cubic, degree 4, degree 5, etc. )
2. Does the global domain and range accurately model a roller coaster? If not, why do you need to restrict the domain and range in your polynomial model of a roller coaster?
3. What is the relative maximum and minimum of your polynomial when the end behaviors are not considered? when the end behaviors are considered?
4. What does it mean for a roller coaster if your polynomial is below the x-axis? How do you rectify this?