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Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
In this functions instructional activity, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then,...
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Lesson Plan
Curated OER

Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Worksheet
Curated OER

Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Worksheet
Curated OER

Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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Lesson Plan
Curated OER

Disc/Washer Method

For Teachers 8th - 10th
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections that are...
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Lesson Plan
Curated OER

NEXT GENERATION SPACECRAFT-Orion

For Teachers 11th - 12th
Students investigate the volume of a solid.  In this calculus lesson, students use integration to find the volume of a solid generated by a region, the Orion crew module. 
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Worksheet
Curated OER

Matrices

For Students 9th - 10th
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Lesson Plan
Curated OER

Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Learners calculate the area under a curve. In this calculus instructional activity, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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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

Solids of Revolution - Disks

For Teachers 9th - 12th Standards
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
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Worksheet
Curated OER

Basic Calculus II: Techniques of Integration

For Students Higher Ed
For this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Lesson Plan
Curated OER

Wind, Pressure, Force, Calculus and Engineering Connections

For Teachers 12th
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus activity, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real...
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Worksheet
Curated OER

Multivariable Calculus

For Students Higher Ed
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.
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Lesson Plan
Curated OER

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.
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Worksheet
Curated OER

Applying the Fundamental Theorem of Calculus

For Students Higher Ed
In 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.
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Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
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Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
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Worksheet
Curated OER

Sherlock Holmes' Real Train Adventure

For Students 11th - 12th
In this calculus worksheet, learners use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th
In this calculus activity, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits.  The four page activity contains twenty-eight multiple choice questions.  Answers are not provided. 
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Interactive
CK-12 Foundation

Length of a Plane Curve

For Students 11th - Higher Ed
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
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Unit Plan
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Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Worksheet
Curated OER

Numerical Analysis: Dimensional Vectors

For Students Higher Ed
For this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Using Riemann Sums

For Students Higher Ed
In the Riemann sums worksheet, 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 worksheet contains explanations...
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Worksheet
Curated OER

Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...