Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...

Provide your young scholars 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...

The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...

After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...

Students evaluate and define limits using substitution. In this calculus activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.

Explore genetic engineering through an engaging "Jurassic Park" unit, which is an extensive use of a cross-curricular teaching event. Planned for AP Biology, English, and Calculus learners, learners and teachers are involved for 4-6...

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

Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.

Students define and review techniques for integration by parts. In this calculus instructional activity, students solve rational expression using integration and apply the partial fraction rule. They practice solving  problems...

Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.

Students review the steps for integration and solve equations using integration by parts. In this calculus instructional activity, students apply their knowledge of integration to inverse trig function. Students review their trig and...

What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...

Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...

Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.

Young mathematicians solve and graph piecewise functions in this calculus instructional activity. They integrate linear functions containing restrictions and graph their answers using the TI.

Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.

Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...

Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.

Pupils investigate integrals and their relationship to velocity in this calculus instructional activity. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.

Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...

Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.

Students discuss the importance of fundamental theorems in math. In this calculus activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...

Students explore integration by parts and use it to solve equations. In this calculus activity, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals and discuss...

Twelfth graders define integrals and solve equations with trig functions. For this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.