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Overcoming Obstacles
Integrity
A lesson about integrity challenges scholars to define it, discuss why it's essential, and the benefits of having it. Class members brainstorm ways to show integrity at home, at school, and in the community. Pupils participate...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Math Centre UK
Integrating Algebraic Fractions 1
Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
Flipped Math
Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
Overcoming Obstacles
Integrity
A lesson showcases the character trait of integrity. Scholars define the term, discuss how having integrity means being trustworthy, that one can choose to have integrity, and the significance of looking at situations from other...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Random Acts of Kindness Foundation
Honesty and Integrity
What are the benefits of kindness and integrity? When is it difficult to be honest? Through discussion, writing, and hands-on experiences, your young learners will consider the definitions and importance of having honesty and integrity...
Flipped Math
Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
Flipped Math
Calculus AB/BC - Integrating Using Substitution
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
Flipped Math
Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
Defining US
Integration of Education and American Society
How did the struggle for Civil Rights during the 1950s transform American society and politics? Why are American schools integrated today? Class members explore these essential questions by examining a series of primary and secondary...
Curated OER
Martin Luther King and Malcom X on Violence and Integration
Dr. Martin Luther King and Malcolm X were contemporaries. Both were gifted orators, both were preachers, both were leaders during the Civil Rights era, both were assassinated. But the two had very different views on violence and...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
CK-12 Foundation
Work and Force: Lifting a Bucket
How much work does it take to lift a bucket? An interactive presents a problem of lifting a bucket from the ground to the top of a building. Using their knowledge about work and integrals, pupils calculate the amount of work required to...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
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