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Georgia 
Calculus 1  Standards 
All of Unit 4 
Unit 41: 
Reverse Power Rule (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 42: 
Special AntiDerivatives & Substitution (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 43: 
Area Approximations (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 44 : 
Riemann Sums (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 45: 
Definite Integrals (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 46: 
Integration by Parts (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 47: 
Numerical Integration (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: 
Testing Item Banks for Exam View
(173 available questions for Unit 4)
Password Required
ExamView Video Instructions (How To Make a Test)
Authors: Matt Winking 

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