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

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...

Students define and review derivatives rules. In this calculus lesson, students watch a movie on derivatives, solve examples with the teacher and review the important concepts that make solving a derivative work. They write a summary of...

Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...

Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....

Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...

Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...

Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...

Class members solve problems to find the whole when given a percent. They  use double line numbers and factors of hundred to help break the 100 percent into equal segments. 

Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...

Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...

From derivatives to antiderivatives and back again. Building on the second instructional activity of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of...

Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...

Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...

Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...

In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.

Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...

Assist your class with each angle of geometry as they use exterior angles to form linear pairs with adjacent interior angles. They cover multiple vocabulary terms and work practice problems, complete with justifications, before...

What happens when combining percentage discounts? The last lesson in a series of 29 introduces the idea of combining discounts one after another. Pupils wrestle with the claim that to find the total discount, they need to only add...

Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.

Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...

Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.