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Lesson Plan
Curated OER

Worksheet 7 - Integral Test

For Teachers Higher Ed
In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
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 midpoint...
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Lesson Plan
Curated OER

Worksheet 29 - Interval

For Teachers Higher Ed
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
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Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
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Interactive
Curated OER

Categorize Twelve Integrals

For Students 11th - Higher Ed
In this integral instructional activity, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
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Unit Plan
1
1
Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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Lesson Plan
Curated OER

Riemann Sums

For Teachers 10th - 12th Standards
Students calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Lesson Plan
Curated OER

Riemann Sums

For Teachers 9th - 12th Standards
Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.
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Worksheet
Curated OER

F(x)g(x): A Tale of Two Functions

For Students 10th - 12th
In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.
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Worksheet
Curated OER

Get Smart!: Addition Tricks with Integrals

For Students 11th - 12th
In this definite integrals worksheet, students find the definite integrals of 16 functions.  Students find definite integrals for a given interval in order to find the name of Maxwell Smart's partner.
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PPT
Portland
 State
 University

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

For Teachers 11th - 12th
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...
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Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths activity, students 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.
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Worksheet
Curated OER

Using Riemann Sums

For Students Higher Ed
In the Riemann sums learning exercise, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page learning exercise...
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Worksheet
Curated OER

Lab 3: Length as an Application of Integration

For Students Higher Ed
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
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Worksheet
Curated OER

Riemann Sums and the Definite Integral

For Students Higher Ed
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
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Worksheet
Curated OER

Simpson's Rule

For Students Higher Ed
For 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...
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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.
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Worksheet
Curated OER

The Integral Test

For Students 12th - Higher Ed
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

Worksheet 2: Evaluating Functions

For Students 10th - Higher Ed
In this function activity, students 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 activity...
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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 instructional activity, 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...
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Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Worksheet
Curated OER

Quiz 1: Sums

For Students Higher Ed
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
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Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 11th - 12th
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.