Rethinking the Courses
Below Calculus

Florence S. Gordon
fgordon@nyit.edu

Projects
That
Work

Projects That Work

Projects That Work

Projects That Work

Common Themes

Common Themes

Conceptual Understanding

What Does the Slope Mean?

Responses in Reform Class

Responses in Reform Class

Responses in Reform Class

Responses in Traditional Class

Responses in Traditional Class

Understanding Slope

Further Implications

Conclusions

"Some Illustrative Examples"

Identify each of the following functions (a) - (n) as linear, exponential, logarithmic, or power.  In each case, explain your reasoning.






(g)   y = 1.05^x    (h) y = x^1.05    

(i)  y = (0.7)^x           (j) y = x^0.7     

(k)  y = x^(-½)            (l) 3x - 5y = 14

For the polynomial shown,
(a)  What is the minimum degree?  Give two different reasons for your answer.
(b) What is the sign of the leading term?  Explain.
(c) What are the real roots?
(d) What are the linear factors?   
(e) How many complex roots does the polynomial have?

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