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Georgia
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)

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)

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)

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)

TEST: Testing Item Banks for Exam View

(100 available questions for Unit 5)