Integration Lesson Plans

Students use a graphing calculator to do calculations and edit their calculations using script. In this graphing calculator instructional activity, students compute the length of intervals given in parametric form. Students verify the results for specific given functions and define the critical points where the first derivative is found.

Eleventh graders take an advance placement test on the computer. In this calculus lesson plan, 11th graders take a practice AP exam using Wofram/Alpha to check for correct answers. This assignment is geared towards 12th grade advanced placement students.

Students explore the Fundamental Theorem of Calculus. In the Calculus instructional activity, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus. 

Young scholars integrate integrals.  In this integrating integrals lesson, students integrate definite and indefinite integrals.  Young scholars use their Ti-89 to find the integrals of cubic, inverse, and trigonometric function graphs on a given interval.

Twelfth graders explore integral calculus.  In this Calculus lesson, 12th graders use the tools of integral calculus to investigate the motion of a free falling objet which is governed by both gravity and air resistance. 

Students explore integral calculus.  In this calculus lesson, students explore the relationship between the area under the graph of a functions and the integral of the function.  Students also discover the rule for the integral of f(x)=ax^n.

Young scholars explore natural logarithms.  In this calculus lesson, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Young scholars solve problems involving exponential growth. 

Twelfth graders investigate integration.  In this Calculus lesson, 12th graders explore indefinite and definite integrals.  Students use technology (TI-89) to verify the solutions to problems requiring integration by parts.

Learners are introduced to the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They complete a series of calculations that vary from integrating to finding a Taylor polynomial. Students approximate and interpret rates of change from graphical and numerical data.

Twelfth graders explore an application of integration.  In this Calculus lesson, 12th graders explore the length of the day where they live during the winter and summer solstice.  Students are provided with data relating to the solstices at various latitudes.  Students use the symbolic capacity of the TI-89 to find a regression equation and interpolate date from the equation using integration.