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Georgia Calculus 1 - Standards All of Unit 4
Unit 4-1: 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 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)


 
Unit 4-2: 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 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)


Unit 4-3: 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 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)

 
Unit 4-4 : 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 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)

 
Unit 4-5: 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 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)

 
Unit 4-6: 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 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)


 
Unit 4-7: 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 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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