Worksheet
Curated OER

Complex Analysis: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
Worksheet
Curated OER

Evaluating Definite Integral Using Riemann Sums

For Students Higher Ed
In this integral worksheet, students use the Riemann Sum to estimate the value of a function. This two-page worksheet contains two problems.
Worksheet
Curated OER

Average Value of a Function

For Students 12th - Higher Ed
In this value worksheet, learners determine the average amount of money in an account at various period of time. This one-page worksheet contains one multi-step problem. An example and explanation is provided.
Worksheet
Curated OER

Complex Analysis: Applications of Cauchy-Goursat Theorem

For Students Higher Ed
In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Worksheet 2: Evaluating Functions

For Students 10th - Higher Ed
In this function worksheet, learners evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
Worksheet
Curated OER

Challenge Sheet 2: Evaluate Functions

For Students Higher Ed
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
Worksheet
Curated OER

Applying the Fundamental Theorem of Calculus

For Students Higher Ed
For this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
Worksheet
Curated OER

Integrated Algebra Practice - A.A.8 #1: Quadratic Word Problems

For Students 9th - 12th
In this quadratic word problems worksheet, students solve 6 short answer and multiple choice quadratic problems. Students write and solve quadratic equations given a word problem.
Lesson Plan
Curated OER

Properties of Matter (Biomaterial Through Nanotechnology)

For Teachers 9th - 10th
Students investigate friction between different surfaces. In this physics lesson, students research biomaterials that can reduce friction. They calculate efficiency using a mathematical formula.
Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus worksheet, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
Lesson Plan
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Continuity and Change

For Teachers 3rd - 5th
Students identify those freedoms most important to them and identify characteristics of a "good" rule. They then develop "good" rules for the world and identify how decisions or rules made today might affect the future.
Lesson Plan
Curated OER

Urban Ecosystems 4: Metabolism of Urban Ecosystems

For Teachers 4th - 8th
Cities are compared to living, breathing, metabolizing organisms. Fourth in a five-part series of lessons, this one focuses on the flow of materials through a city. Links to interesting websites and images make your delivery of...
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 instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Lesson Plan
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Gateway Arc Length

For Teachers 9th - 12th Standards
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
Worksheet
Curated OER

BC First Nations Studies 12

For Students 12th - Higher Ed
If your class is learning about the economics, culture, and education options provided for the First Nations, then they'll love this task. They'll answer 32 discussion-based questions related to the rights, treatment, and policy that...
AP Test Prep
College Board

2010 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources...
Worksheet
Curated OER

Discussion Sheet 2: Indefinite Integrals

For Students Higher Ed
In this indefinite integral activity, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...
Worksheet
Curated OER

Integrations Applications

For Students 11th - 12th
For this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
Worksheet
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Integration

For Students 12th - Higher Ed
In this calculus worksheet, learners simplify integrals and solve problems that involve related rates and maximum and minimums.  The one page worksheet contains twenty-three problems.  Solutions are not provided. 
Lesson Plan
Curated OER

Tour + Workshop = DESIGN: Form Follows Function

For Teachers 3rd - 5th
Learners design a chair with function in mind. In this design lesson, students design a chair out of newspaper that is strong enough to hold a "peanut ball". Learners discuss how the form follows the function. This lesson includes...
Worksheet
Curated OER

Calculus Test

For Students 11th - Higher Ed
In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
Lesson Plan
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Little Red Corvette

For Teachers 11th - 12th
Pupils investigate the acceleration of a car.  For this acceleration of a car lesson, students make a scatter plot of corvette acceleration data.  Pupils find a model to fit the data by taking the integral of the curve created...
Worksheet
Curated OER

Lab 2: Euler's Method and Riemann's Sums

For Students Higher Ed
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
Lesson Plan
Curated OER

Domain and Range of Exponential Functions

For Teachers 9th - 12th Standards
Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.