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Georgia
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Calculus 1 - Standards |
All of Unit 2 |
| Unit 2-1 : |
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.
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| Unit 2-2 : |
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)
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| Unit 2-3: |
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) |
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| Unit 2-4: |
Trigonometry Review (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
(GSE PreCalculus) MGSE9-12.F.TF.9 Prove addition, subtraction, double and half-angle formulas for sine, cosine, and tangent and use them to solve problems.
(GSE GEOMETRY) MGSE9-12.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) MGSE9-12.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) |
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| Unit 2-5: |
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) |
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| Unit 2-6: |
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) |
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| Unit 2-7: |
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: (p1-2, p3, p4)
Sample Quiz: (Interactive, PDF) |
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| Unit 2-8: |
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) |
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| Unit 2-9: |
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)
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| Unit 2-10: |
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) |
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| TEST : |
Testing Item Banks for Exam View
(360 available questions for Unit 2)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking
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GO TO UNIT 3 |
