Curated OER
Worksheet 2
In this math instructional activity, students state the definition of a definite integral. Then they describe the Fundamental Theorem of Calculus.
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
Curated OER
Linear Systems
In this linear systems activity, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
Curated OER
Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
College Board
Seeing Is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Curated OER
Functions and Differentiation
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
Curated OER
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, learners are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Curated OER
Worksheet 2 - Spring 1996
In this math worksheet, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Curated OER
Simpson's Rule
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
Curated OER
Integrals and Integration
In this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
Curated OER
Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Integral Worksheet
In this college level calculus worksheet, students evaluate the given definite integrals. The three page worksheet contains eight problems. Solutions are not provided.
Curated OER
Gravity: A Relatively Heavy Subject
Students examine planetary movement and its relation to the tide.In this gravity lesson students describe how and why the high and low tides change every day.
Curated OER
Worksheet 1
In this math instructional activity, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
Mathematics Archives
Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
Mathematics Archives
Math Archives: Visual Calculus: Fundamental Theorem of Calculus
This site visually explores the fundamental theorem of calculus. On-line animation helps the student visualize the process.
Other
Karl's Calculus Tutor: Fundamental Theorem of Calculus
Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.
Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Harvey Mudd College
Harvey Mudd College: Fundamental Theorem of Calculus
This site explains the fundamental theorem of calculus with examples.