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Georgia
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Calculus 1 - Standards |
All of Unit 5 |
| Unit 5-1: |
Average Value of a Function (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MC.I.1 Students will apply the rules of integration to functions.
a. Apply the definition of the integral to model problems in physics, economics, etc, obtaining results in terms of integrals.
b. Demonstrate knowledge of the Fundamental Theorem of Calculus, and use it to interpret integrals as anti-derivatives.
c. Use definite integrals in problems involving area, velocity, acceleration, and the volume of a solid.
d. Compute, by hand, the integrals of a wide variety of functions using substitution.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz:(Interactive, PDF)
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| Unit 5-2: |
Area Between Curves (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MC.I.1 Students will apply the rules of integration to functions.
a. Apply the definition of the integral to model problems in physics, economics, etc, obtaining results in terms of integrals.
b. Demonstrate knowledge of the Fundamental Theorem of Calculus, and use it to interpret integrals as anti-derivatives.
c. Use definite integrals in problems involving area, velocity, acceleration, and the volume of a solid.
d. Compute, by hand, the integrals of a wide variety of functions using substitution.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz:(Interactive, PDF) |
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| Unit 5-3: |
Volume of Solids (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MC.I.1 Students will apply the rules of integration to functions.
a. Apply the definition of the integral to model problems in physics, economics, etc, obtaining results in terms of integrals.
b. Demonstrate knowledge of the Fundamental Theorem of Calculus, and use it to interpret integrals as anti-derivatives.
c. Use definite integrals in problems involving area, velocity, acceleration, and the volume of a solid.
d. Compute, by hand, the integrals of a wide variety of functions using substitution.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz:(Interactive, PDF)
GSP: Disc & Washer animations, Shell animations |
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| Unit 5-4: |
Differential Equations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MC.I.1 Students will apply the rules of integration to functions.
a. Apply the definition of the integral to model problems in physics, economics, etc, obtaining results in terms of integrals.
b. Demonstrate knowledge of the Fundamental Theorem of Calculus, and use it to interpret integrals as anti-derivatives.
c. Use definite integrals in problems involving area, velocity, acceleration, and the volume of a solid.
d. Compute, by hand, the integrals of a wide variety of functions using substitution.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz:(Interactive, PDF)
GSP: Slope Field Generator |
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| TEST: |
Testing Item Banks for Exam View
(102 available questions for Unit 5)
Password Required
ExamView Video Instructions (How To Make a Test)
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