Worksheet
Curated OER

Timed Caluculus Exam

For Students 10th
In this Calculus learning exercise, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
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....
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
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...
Worksheet
Curated OER

Factors of Numbers from 1 to 30

For Students 3rd - 5th
Finding factors is an integral skill on the road to fractions and algebra. Scholars write down a factor list for nine numbers up to 30. Next, they examine provided lists and circle the numbers that are factors of eight more numbers, also...
Worksheet
Curated OER

Factors of Numbers from 31 to 65

For Students 4th - 5th
Finding factors is an integral aspect of multiplication. Although there are two examples here, they don't illustrate the process so you will still need to model this a few times for scholars. First, mathematicians list the factors for...
Worksheet
Curated OER

Using the 10 Times Table

For Students 3rd - 4th
Dividing by 10 and multiplying by 10 is an integral skill for young scholars as they learn base-10 multiplication and division. First, they match five products to their equivalent equations, all of which include 10 as a factor. Next,...
Lesson Plan
Curated OER

Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus activity. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
Curated OER

Integration By Substitution

For Teachers 9th - 12th Standards
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Lesson Plan
Texas Instruments

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus instructional activity. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Lesson Plan
Curated OER

Elevator Height as Integral of Velocity

For Teachers 9th - 12th Standards
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
Worksheet
Curated OER

The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine instructional activity, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
Worksheet
Curated OER

Integration by Parts

For Students 9th - 12th
In this calculus worksheet, students integrate over parts in order to solve the provided integral problems. There are 32 questions including some with natural log and trig functions.
Worksheet
Curated OER

Integration

For Students 11th - 12th
In this calculus learning exercise, students solve problems by integration and taking the derivatives. There are 34 integration problems to review for major concepts in calculus.
Interactive
Curated OER

Passive Integrator and Differentiator Circuits

For Students 10th - Higher Ed
In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
Worksheet
Curated OER

Section 7.4 Practice: The Exponential Function

For Students 11th - 12th
In this exponential functions worksheet, students solve 7 exponential function problems.  Students find the integral and derivatives of various exponential expressions.
Lesson Plan
Curated OER

Math Learning Song The Learning 1-5 Song

For Teachers Pre-K - K
In this lesson, students sing a song about the numbers and counting 1-5. Students mimic the teachers as she sings each verse starting with the number one and continue through the number 5. This song gives students a guide for counting...
Lesson Plan
Curated OER

Tools for Integrating Math and Engineering: Weighin' In

For Teachers 7th - 12th
Learners collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
Lesson Plan
Curated OER

Splish! Splash! From the Bath to my Glass

For Teachers 2nd - 3rd
An excellent lesson on the water cycle! In it, learners should gain a general understanding of the water cycle, along with how water first falls as precipitation, then ends up coming out of our faucets. This lesson nicely integrates...
Worksheet
Curated OER

Changing Order of Integration of a Triple Integral

For Students 11th - Higher Ed
In this math worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
Worksheet
Curated OER

Complex Analysis: Improper Integral

For Students Higher Ed
In this improper integral worksheet, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page worksheet contains explanations...
Worksheet
Curated OER

Complex Analysis: Residues and Real Integrals

For Students Higher Ed
In this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
Worksheet
Curated OER

Math 212: Path Integrals

For Students Higher Ed
In this integral worksheet, students identify a vector field and explore line integrals. Students use the Fundamental Theorem for path integrals to solve problems. This two-page worksheet contains three problems.
Worksheet
Curated OER

Complex Analysis: Examples of Contour Integration

For Students Higher Ed
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
Worksheet
Curated OER

Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page worksheet contains three problems.

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