# Integrating Function Teacher Resources

Find Integrating Function lesson plans and worksheets
Showing 1 - 24 of 30 resources
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#### STEMbite: The Calculus of Building Blocks

For Students 9th - 12th
Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...
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#### Applications of Definite Integrals

For Students Higher Ed
In this definite integral learning exercise, students explore different types of integrals and determine the length of a curve. This one-page learning exercise contains eight multi-step problems.
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#### Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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#### Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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#### Integrating Functions

For Students 6th - 8th
In this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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#### The Region Between Two Curves

For Teachers 9th - 12th Standards
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
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#### Worksheet 8: Rate, Differentials

For Students Higher Ed
In this rate worksheet, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. This three-page...
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#### Exploring Taylor's Integrals

For Teachers 9th - 12th
Students are introduced to the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They complete a series of calculations that vary from integrating to finding a Taylor polynomial. Students...
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#### Complex Analysis: Contour Integration

For Students Higher Ed
For this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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#### Volumes of Solids of Revolution (Shell Method)

For Teachers 11th - 12th
Students find the volume of solids and disks.  In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method.  Students integrate functions in terms of x and y.  Students use...
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#### 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.
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#### Integration By Parts

For Teachers 12th
Twelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
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#### Why Plus C is important.

For Students 10th - 12th
In this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
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#### Calc 3 Review Problems - Function

For Students 12th - Higher Ed
In this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
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#### Categorize Twelve Integrals

For Students 11th - Higher Ed
In this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
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#### Lunar Crater Frequency Distributions

For Students 10th - 12th
For this lunar crater frequency worksheet, students use the power-law function to solve 3 problems related to the number of craters in a given area. They integrate the power-law function to determine their answers.
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#### The Exact Differential

For Teachers 11th - 12th
Learners integrate functions using u substitution.  In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du.  Learners integrate...
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#### Worksheet 12: Area of Regions

For Students Higher Ed
In this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
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#### Worksheet 11: Integration

For Students Higher Ed
In this integration instructional activity, students integrate functions using any method, they compute the exact value of an integral using the trapezoidal method and the Simpson's method. This five-page instructional activity contains...
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#### Trigonometric Identities

For Teachers 10th - 11th
Investigate the properties of a Unit Circle, wahoo! Your class will memorize the basic identities of sine, cosine, and tangent. Then those smart cookies can investigate the negative of an angle measure using sine and cosine. Included are...
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#### Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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#### Calculus Grapher

For Teachers 8th - 12th Standards
Learners draw a graph of any function to see its derivative and integral in this simple, yet informative, simulation. Other options include manipulating the scale, the shape of the graph, and the angle.
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#### Motion in a Straight Line Where Displacement is of the Form x = a{sin/cos (x) = b

For Teachers 11th - 12th
Students solve and graph trigonometric equations, stating the amplitude, period and vertical shift. In this trigonometric equations lesson, students solve and graph one problem using algebraic reasoning, the 2nd through 6th  problems...
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#### Integral Test

For Teachers 12th
Twelfth graders investigate convergence of an infinite series.  In this Calculus lesson, 12th graders apply the integral test to determine convergence of an infinite series.