You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.

Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...

There are underwater rivers that flow on the ocean floor thanks to a difference in density. Scholars learn about the density in both liquids and solids in the second lesson of an 11-part series. They then determine the density of water,...

Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...

A quick check of understanding is the focus in this short online quiz. Questions ask users to check out a short two- to four- line program and answer a question about the value of a variable. Get five questions correct in row to pass to...

Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in...

Way before the digital age radio was the medium of popular culture. After listening to excerpts from radio programs (easily available on the Internet), participants return to the radio age by creating a two-minute sketch based on a...

Scientists used flame tests to identify elements long before the invention of emission spectroscopy. Young chemists observe a flame test of five metal cations in the fourth instructional activity of an 11-part series. Individuals then...

In this value worksheet, students determine the average amount of money in an account at various period of time. This one-page worksheet contains one multi-step problem. An example and explanation is provided.

In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.

In this online interactive reading comprehension worksheet, students respond to 14 multiple choice questions about Oscar Wilde's The Picture of Dorian Gray. Students may submit their answers to be scored.

Did you know that there are over 100 types of knots? Learn how to tie them all with this step-by-step, colorfully illustrated guide!

In this qualitative analysis instructional activity, students explore the S-I-R model of determining given values of a function. They determine the maximum, minimum values and the slope. students write a rate equation for given...

Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...

Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...

Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....

Here's a solid resource for solubility. Given the solubility of copper chloride at two different temperatures, young chemists need to determine the solubility at a third given temperature. Using a virtual lab, they design and conduct an...

In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...

In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...

In this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...

In this initial value instructional activity, students explore the best methods to solve rate problems. Students differentiate functions to check the initial value of problems. This two-page instructional activity contains...

In this delinquency worksheet, students read and complete ten different exercises, including providing examples of theories, matching ideas to theorists, writing about their opinions, and comprehension questions about the article.

In this absolute value worksheet, students use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.

In this Cauchy Principal worksheet, students identify the value of a function by evaluating the contour integral. This two-page worksheet contains one problem.