The I-STOP law was designed to regulate the distribution and tracking of prescription drugs. After reading an article about its signing and implementation, middle and high schoolers work together to come up with their own ideas for an...

Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...

In this continuity activity, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.

In this continuity and limits activity, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...

With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...

In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35...

In this orbit of stars in galaxies instructional activity, students are given an equation that models the orbital speeds of stars as they relate to their distance from the nucleus of a galaxy. Students solve 5 problems using this...

In this limit learning exercise, students evaluate functions and determine the limits of the function. This one-page learning exercise contains 10 problems.

In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.

High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...

In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.

Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...

For this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...

In this calculating arc lengths learning exercise, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.

Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...

See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...

Students give examples to indicate how the franchise was extended and limited in the first half of the 19th century, and cite some differences in the newly enfranchised population that could affect the way they would vote.

Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...

Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...

Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...

After reading a short text on the branches of government in the United States, future voters answer 8 fill-in-the-blank questions, as well as 11 true or false questions. This worksheet would be a great homework assignment or silent...

Students find the derivatives of functions.  In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Students discuss scenarios in which the...

In this limits worksheet, students find the limits of given equations. They find the absolute maximum and absolute minimum values of a function. This two-page worksheet contains four problems.

In this review instructional activity, students match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...