Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...

Though there are technically only 13 questions on this exam, they take up six pages and make a thorough assessment of organic chemistry principles. There are plenty of diagrams to label or complete. Emission spectra are displayed for...

In this calculus worksheet, students use the chain rule to derive functions. They use function notations correctly as they solve word problems using the derivative. There are 3 questions.

Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.

Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.

Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.

Students analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.

Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.

Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...

Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.

There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...

Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...

Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...

Interpreting graphs of functions is addressed in a short instructional activity. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students...

In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...

Learn to solve functions by taking the derivatives. In this calculus lesson plan, students compare the graph of a derivative to that of the original function.

In this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...

In this introduction to differentiation worksheet, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...

In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...