Portfolio assignments occur approximately twice a semester in this course. They are targeted toward particular learning objectives and can be completed on paper or electronically through Word, Excel or some other program. I will provide further explanations and resources, such as videos, here. Note that the Unit 6 Portfolio is a collaborative lesson. There is a collaborative lesson in each unit. Pick one of them to do collaboratively. This will be submitted as Portfolio 6.
Unit 3 - Concept Map
On slide 6 of 8 in Unit 3 Lesson 4 you will find detailed instructions for completing this portfolio assignment. The idea is fairly straight forward. It is to create a concept map, a diagram that shows relationships between concepts. The following list of terms is given:
- Average Rate of Change
- Average Speed
- Composite of Continuous Functions
- Continuity at a Point
- Continuous at an Endpoint
- Continuous Function
- Continuous on an Interval
- Difference Quotient
- Difference Rule for Limits
- Discontinuous
- End Behavior Model
- Horizontal Asymptote
- Instantaneous Rate of Change
Don't forget an explanatory paragraph of about a page (250 words), explaining the organization of your concept map.
Unit 7 - Function Behavior
You are being asked to analyze a function of your own choosing. Make sure to use concepts from this unit to do so. Finding zeros, finding critical points with the first derivative for possible maxima and minima, finding inflection points with the second derivative, using the second derivative at the critical points to help determine concavity (concave up indicates a local minima, while concave down a local maxima). In this video I do such an analysis for a third order polynomial function. Make sure, of course, not to use my example, but create your own. I leave it to you how you want to present your findings, whether by video, PowerPoint, Word document, etc.