College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
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...
CK-12 Foundation
Length of a Plane Curve
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
Curated OER
The Method of U-Substitution
In this calculus worksheet, students solve problems using U-Substitution. They find antiderivatives using indefinite integrals. There are 18 questions with an answer key.
Curated OER
Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
Integration by Parts
Students explore integration by parts and use it to solve equations. In this calculus lesson, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals and discuss when...
Curated OER
Integration By Parts and Quiz on Basic Integration Formulas
Learners 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...
Curated OER
Integration
In this calculus worksheet, 12th graders use integration to find the area under a graph. They use integration to solve real world problems. There are 4 different sections with their own problems.
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 lesson, 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 plan, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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
Calculus Exam
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
Curated OER
Integrals by Partial Fractions
Young scholars solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
Curated OER
I Have Who Has Cards - Integration Formulas
In this calculus activity, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
Curated OER
Numerical Methods of Integration
Students calculate the area under a curve. In this calculus instructional activity, 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.
Curated OER
Integrals with odd powers of secant and tangent
Twelfth graders solve equations containing powers of sec and tan. In this caclculus lesson, 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. In 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
Integrals
For this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. ...
Curated OER
Calculus Practice Test: Velocity, Functions
In this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
Curated OER
Fun Times with Integrals
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...
Curated OER
Eight Integrals Using Partial Fractions
In this integral worksheet, students integrate eight problems using partial fraction decomposition. A review on partial fractions is included at the top of the worksheet.
Curated OER
Multivariable Calculus Quiz 9
In this math worksheet, students practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.