Assessment, Lesson Plan, Manual


In this, the fifth and last section of the course, the topics include:Applications of integrals.• Appropriate integrals are used in a variety of applications to model physical, biological, or economic situations.  Although only a sampling of applications can be included in any specific course, students should be able to adapt their knowledge and techniques to solve other similar application problems. Whatever applications are chosen, the emphasis is on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral.  To provide a common foundation, specific applications should include finding the area of a region, the volume of a solid with known cross sections, the average value of a function, the distance traveled by a particle along a line, and accumulated change from a rate of change.Applications of antidifferentiation• Finding specific antiderivatives using initial conditions, including applications to motion along a line.• Solving separable differential equations and using them in modeling (including the study of the equation y’ =?ky and exponential growth).


  • Mathematics > General
  • Mathematics > Calculus

Education Levels:

  • Grade 11
  • Grade 12


inverse operation differentiation definite integrals substitution indefinite integrals trapezoidal ruble



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Creative Commons Attribution Non-Commercial


Curriki Calculus
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On a scale of 0 to 3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 2.3, as of 2016-02-29.

Component Ratings:

Standards Alignment: 3
Subject Matter: 2
Support Steaching: 2
Instructional Quality: 2

Reviewer Comments:

Standards Alignment: All resources are nicely aligned to the CCSS.
Subject Matter: Each of the activities associated with this resource are aligned to a specific CCSS and would require an instructor\'s assistance in connecting the standards with one another.
Support Steaching: The materials in this resource are easy to understand and use however an instructor would need to determine when and how they would be used by the learner.
Instructional Quality: Great resources are included and answer keys are provided. Worksheet tend to focus on a single skill; textbook exercises are included at chapter endings.

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