Lesson Plan
Curated OER

The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Lesson Plan
Curated OER

The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. For this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson plan, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how...
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson plan, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
Lesson Plan
Curated OER

Applied Fundamental Theorem of Calculus

For Teachers 9th - 12th
Learners apply the Fundamental Theorem of Calculus. For this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Lesson Plan
Curated OER

Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Lesson Plan
Curated OER

Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 11th - 12th
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
Lesson Plan
Curated OER

Introduction to Slope Fields

For Teachers 11th - 12th
Young scholars plot slope fields. In this introduction to slope fields lesson plan, students plot 12 slope fields for given differential equations.
Lesson Plan
Curated OER

Worksheet 1

For Teachers Higher Ed
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...
Lesson Plan
Curated OER

Exploring the FTC using the TI

For Teachers 11th - 12th
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.
Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students 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 review...
Lesson Plan
Curated OER

Area Under A Curve

For Teachers 9th - 11th
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...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Lesson Plan
Curated OER

Gravity: A Relatively Heavy Subject

For Teachers 7th - 12th
Learners 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.
Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Lesson Plan
Alabama Learning Exchange

Alex: Know Your Limits

For Teachers 9th - 10th
The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...