Derivatives Teacher Resources

Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.

Transform your instructional activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation,...

Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 

Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...

Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...

Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...

How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the instructional activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in...

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.

How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...

Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...

Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.

Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 

Now do you see how limits relate to continuity? Viewers of this learn to find the value of a constant for a piecewise function that makes it continuous. They see how one-sided limits show that the derived constant is correct.

It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.

In this functions and derivatives worksheet, students calculate values of a function given a tables of values of functions and the derivatives at specified values. 

In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...

In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.

In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.

In this derivative activity, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page activity contains four problems.

In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...

In this derivative formulas learning exercise, students solve derivative problems. They use derivative formulas to solve problems. This one page learning exercise contains twenty-eight multi-step problems.

In this math worksheet, learners find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.

In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.