EZ Math

In this discovery activity, students use a graphing calculator to evaluate a function and its derivative at given x-values. The activity is arranged so that students clearly see the results of the exploration and can easily make a (correct) conjecture about the derivatives of y = e^x and y = ln(x). The activity includes exercises where students can apply their conjectures. ANSWER KEY INCLUDED. This two-page activity is great for a "flipped classroom" activity because students end up teaching the

These 14 task cards focus on the relationship between a function and its derivative in all representations (graph, table, word problem, and function rule). The meaning of the function vs the meaning of the derivative...what we learn from f(x) vs what we learn from f'(x). Students must know that the derivative function gives the slope of the tangent line (or the slope of the curve), but do not need to be able to compute derivatives. Answers are provided.

This is a summative activity to be used after learning about linearization (linear approximation) and differentials (Lesson 4.5 in Finney 3ed). There are 8 task cards (2 on linearization, 2 on differentials, 1 tangent line, 2 MVT, and 1 IVT). Problems are clearly labeled calculator/non-calculator. It's a great mix of new content and basic review as you head into the closing days of differential calculus. Problems can be printed as stations or used as task cards. A complete, worked out solution