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Georgia

Calculus 1  Standards 
All of Unit 2 
Unit 21 : 
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.


Unit 22 : 
The Power Rule (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1a, p1b, p2a, p2b, p3a, p3b, p4a, p4b)
Sample Quiz: (Interactive, PDF)


Unit 23: 
Product & Quotient Rule (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1, p2a, p2b, p3, p4a, p4b, p5a, p5b)
Sample Quiz: (Interactive, PDF) 

Unit 24: 
Trigonometry Review (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
(GSE PreCalculus) MGSE912.F.TF.9 Prove addition, subtraction, double and halfangle formulas for sine, cosine, and tangent and use them to solve problems.
(GSE GEOMETRY) MGSE912.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
(GSE PreCalculus) MGSE912.F.TF.4 Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
Video Lessons: (p1a, p1b, p2, p3)
Sample Quiz: (Interactive, PDF) 

Unit 25: 
Derivative of Sine & Cosine (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF) 

Unit 26: 
Derivative Other Trig Functions (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1, p2, p3a, p3b, p3c, p4)
Sample Quiz: (Interactive, PDF) 

Unit 27: 
The Chain 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.
Video Lessons: (p12, p3, p4)
Sample Quiz: (Interactive, PDF) 

Unit 28: 
Implicit Differentiation (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, p2a, p2b, p3, p4)
Sample Quiz: (Interactive, PDF) 

Unit 29: 
Derivative of Log Functions (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF)


Unit 210: 
Derivative of Inverse Trig Func. (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.
e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF) 

TEST : 
Testing Item Banks for Exam View
(360 available questions for Unit 2)
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ExamView Video Instructions (How To Make a Test)
Author: Matt Winking


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