Curated OER
Buoyancy: Integrating Science and Literature
Integrate science and literature by using the scientific method to test the veracity of the floating peach described in Roald Dahl's James and the Giant Peach. Clips from a Bill Nye: The Science Guy episode about buoyancy frontload...
Shodor Education Foundation
InteGreat!
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
Texas Instruments
Sands of Time
Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice.  Using data relating to the solstices at various...
Curated OER
Integration By Substitution
Young scholars calculate the solution using integrals in this calculus instructional activity. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Texas Instruments
Integration By Parts
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.
Curated OER
Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson plan. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
Orange County Department of Education
Integrity and "Thank You, M'am"
Ninth graders explore the definition of integrity through a class discussion. They provide positive/negative examples from the story and their own experiences. Students determine character traits by analyzing the dialogue in a short...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus activity. 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.
Curated OER
MVT for Integrals
Learners identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
Curated OER
Integration by Parts
Students explore integration by parts and use it to solve equations. In this calculus instructional activity, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals...
Curated OER
Integration By Parts and Quiz on Basic Integration Formulas
Students solve integrals using integration by parts. In this calculus lesson, students review problems using integration by parts, repeated integration by parts and constant integration. They take a Quiz after they solve review problems.
Curated OER
Integrals with Secant Powers of Secant Tangent
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Curated OER
The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
Curated OER
Integrals with even Powers of Sine and Cosine
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
Curated OER
Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
Curated OER
Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
Curated OER
Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
Curated OER
Integration By Parts
Twelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
Curated OER
Integrals with odd powers of secant and tangent
Twelfth graders solve equations containing powers of sec and tan. In this caclculus instructional activity, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.
Curated OER
Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
Curated OER
Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
Curated OER
Video on Integration and Quiz on Induction
Young scholars investigate proofs through practice and example. In this calculus lesson, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
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