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Georgia

Calculus 1  Standards 
All of Unit 5 
Unit 51: 
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 antiderivatives.
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)


Unit 52: 
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 antiderivatives.
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) 

Unit 53: 
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 antiderivatives.
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) 

Unit 54: 
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 antiderivatives.
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) 

TEST: 
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