In this trig limits learning exercise, students evaluate the limits of given equations. They use trig derivatives and implicit differentiation to solve given equations. This three-page learning exercise contains 27 multi-step problems.

Learners differentiate between linear and non-linear graphs. For this algebra lesson, students investigate slopes as it relates to a function using graphs of linear and non-linear equations. They collect data using the TI to graph...

Students differentiate their problems to find functions and non-functions. In this calculus lesson plan, students relate functions and relation through similarities and differences. They rewrite equations that are functions using f(x).

Students identify the slope of a line given two points on the line. In this algebra activity, students solve linear equations by finding and comparing slopes of lines. They differentiate between the steepness of the slope and the line.

Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...

Students use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups,...

This hands-on resource has future trip planners analyze graphs of mileage, gasoline costs, and travel time on different routes. While this was originally designed for a problem-solving exercise using a Michigan map, it could be used as a...

Learners solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 

High schoolers solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.

In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...

In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.

Is it possible to outrun a tsunami? After watching a presentation that explains how waves and tsunamis occur, class members investigate the speed of tsunamis triggered by an earthquake.

Accelerate young physicists' learning with this collection of problem-solving worksheets. Starting off by teaching learners to identify the given information and variables in physics problems, this resource goes on to challenge them...

In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.

Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...

Learners collect and analyze data regarding exponential functions of the form y = abx.  Students explore the affects of changing parameters on the graph of the function. 

In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....

In this calculating arc lengths worksheet, 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.

In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions.  Students find the limits and derivatives of functions.

An exercise in finding the approximate time that a name would be called at a graduation. Estimating time may be difficult for some of the class, so this resource would not be a good choice for learning this standard. It does end with a...

Pupils read an article on how calculus is used in the real world. In this calculus lesson plan, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus...

In this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.

Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.

In this farmer's problem, learners determine the maximum area that can be enclosed under given circumstances.  This one-page worksheet contains 1 problem.  The answer is provided.