In this math worksheet, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...

In this math worksheet, students find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.

In this math instructional activity, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of...

Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...

In this max/min worksheet, students are presented with a seven set procedure to use when solving max/min problems.  This is a general procedure not necessarily for calculus nor parabolas.

In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.

In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...

In this math instructional activity, students write down five exact differential equations in symmetric form. Then they test the statements concerning differential equations.

In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.

In this math worksheet, students explore how the use of implicit differentiation does not give the solutions to the differential equation. Then they write the definitions to the vocabulary related to differential equations.

In this calculus-based worksheet, students experiment how to add forces in order to get a net force of zero with no acceleration while following the directions of a variety of different scenarios.

Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...

Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...

In this induction worksheet, students read word problems.  They determine the difference between inductive and deductive reasoning.  Students solve the given problem through inductive reasoning.  This one-page worksheet...

In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the...

Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson also contains an application of differentiation. 

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...

Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.

Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...

Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.

Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...

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...

In this physics worksheet, students identify and describe the correct and incorrect features in electric field lines. Then they qualitatively sketch field lines for a charge distribution and a charge given the field lines.

In this ion rocket and orbits instructional activity, learners read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining...