Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.

Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.

Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...

Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.

Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.

Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...

Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...

Learners calculate the limits of functions. In this calculus instructional activity, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.

Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 

Madison was there! Scholars go on a journey to discover the person behind the founding father label as they explore James Madison's role in the formation of the United States government. The culmination is a writing assignment and...

Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.

When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...

Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...

Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

Our bodies have some amazing capabilities, but there are some limitations. Explore the limitations of the human eye through the eighth lab activity in a series of 12 biology lessons. Individuals measure their own peripheral vision...

Math scholars identify four different rock types in that strata and use this identification and data to construct a two dimensional geologic cross-section. They use data tables to construct a three-dimensional geologic cross-section.

Test the limits of gravity while encouraging full class participation with this thrilling lesson. Pupils investigate the meaning of work and how it is equivalent to energy. They explore the joule and apply it as a unit of work. They...

Students graph systems of equation. In this calculus instructional activity, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.

Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...

Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...