College Board
AP Calculus: Slope Fields
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
Curated OER
Worksheet 18
In this math worksheet, students graph the function. Then they determine the altitude in relation to the graph of the function using point (2,1).
Curated OER
Worksheet 27
In this math worksheet, learners use substitution to change into an external of one variable. They also use the method of Lagrange multipliers.
Interactive Mathematics
Interactive Mathematics: More on Curve Sketching
Examples are presented to demonstrate the steps for sketching curves that are not polynomials. Using x- and y-intercepts, limits, domain and range, maxima and minima, second derivatives and general behavior the graphs are constructed...
Interactive Mathematics
Interactive Mathematics: Curve Sketching
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...
Other
Ctte: Geometer's Sketch Pad Activities
This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.
Wolfram Research
Wolfram Math World: First Derivative Test
This MathWorld site shows how to find extrema using the first derivative test.
Math Graphs
Houghton Mifflin: Math Graphs: Direction and Vectors 1 [Pdf]
Students are given the level curve of a function and are asked to sketch the vector showing the greatest rate of increase of the function. The practice exercise is available in PDF format.