Home > Calculus >Unit 3 - Applications of Derivatives
Sample Sketches

Search Site:

Post a Comment or
Review
Unit 1 Unit 2 Unit 3 Unit 4 Unit 5

Georgia Calculus 1 - Standards  
Unit 3-1: MVT, Critical Points, Optimizations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.

c. Demonstrate an understanding of and apply Rolle's Theorem, the Mean Value Theorem.

MC.A.3 Students will demonstrate knowledge of differentiation using algebraic functions.

a. Use differentiation and algebraic manipulations to sketch, by hand, graphs of functions.

b. Identify maxima, minima, inflection points, and intervals where the function is increasing and decreasing.

c. Use differentiation and algebraic manipulations to solve optimization (maximum – minimum problems) in a variety of pure and applied contexts.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)


Unit 3-2: Higher Derivatives & Concavity (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.A.3 Students will demonstrate knowledge of differentiation using algebraic functions.

a. Use differentiation and algebraic manipulations to sketch, by hand, graphs of functions.

b. Identify maxima, minima, inflection points, and intervals where the function is increasing and decreasing.

c. Use differentiation and algebraic manipulations to solve optimization (maximum – minimum problems) in a variety of pure and applied contexts.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)

 
Unit 3-3: Position, Velociy, & Acceleration (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

c. Use derivatives to solve a variety of problems coming from physics, chemistry, economics, etc. that involve the rate of change of a function.


Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)
 
Unit 3-4 : Related Rates (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)

 
Unit 3-5: Linear Approximations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.


Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)

 
Unit 3-6 : L'Hospital's Rule (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)

 
Unit 3-7: Newton's Method (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MMC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)




TEST: Testing Item Banks for Exam View

(200 available questions for Unit 3)

Password Required

ExamView Video Instructions (How To Make a Test)

Authors: Matt Winking

 

GO TO UNIT 4

  Contact Information: Matt Winking