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Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 2 [Pdf]
Learners approximate values of a function using the graph of the function and differentials. The exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 1 [Pdf]
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 2 [Pdf]
Learners use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 3 [Pdf]
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 4 [Pdf]
Students use the given graph to estimate the slope of a tangent line. The resource consists of an enlarged printable version of a math graph available in PDF format.
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Oswego City School District
Regents Exam Prep Center: Unit Circle
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Shodor Education Foundation
Shodor Interactivate: Data Flyer
Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.
Texas Instruments
Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Hofstra University
Hofstra University: Calculus Applied to the Real World
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
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...
Curated OER
Visual Calculus: Derivatives and Graphing
This site from Visual Calculus at the University of Tennessee provides very helpful exercises in graphing calculus problems. Provides ten exercises.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Texas Instruments
Texas Instruments: General Quadratics, Cubics, and Quartics
This activity explores the characteristics of the graphs of quadratic, cubic, and quartic functions. The graphing calculator will be used to generate graphs and derivatives of these functions.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas Laterales
This interactive unit is intended to show by graphing and calculations, the elements involved in the study of the growth of a functions and its relation to the definition of derivative.
Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
Texas Instruments
Texas Instruments: Product Rule
This activity will use the capabilities of their graphing calculator to illustrate the symbolic derivative product rule.
Texas Instruments
Texas Instruments: Calculus and the Ti 89
The graphing calculator's symbolic capacities make it ideal for teachers and students of calculus. Here are some examples of how teachers and students can use the calculator to better understand calculus.
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, students are presented with a table and a graph and are asked to summarize the data and report the findings of a project by the Environmental Protection Agency to contain the effects of an invasive species on a fish...
Texas Instruments
Texas Instruments: Boxing It Up
In this activity, learners will experiment with creating a box from a standard size piece of paper. They will then use the concept of related rates on the graphing calculator to find the maximum volume of a box made from the piece of paper.
Texas Instruments
Texas Instruments: Higher Order Differential Equations
In this activity, students use the calculator to graph the solution to a second-order and third-order differential equations. They convert higher order differential equations by substitution to a system of first order differential...