Course Syllabus for 1st Quarter
AP® CalculusAB (5 credits)

Prerequisites: Algebra 1 and 2, Geometry, Precalculus or Algebra 3 & Trigonometry
Text: Larson, Hostetler, Edwards, Calculus(With Analytic Geometry), 9th Edition, 2008

Required Materials: Text, Notebook and pen/pencil, TI-83/83+/84 graphing calculator

Course Outline:

First Quarter – Limits & Continuity, Derivatives

Topic 1: Introduction to limits
Topic 2: Properties of limits
Topic 3: Evaluating limits
Topic 4: Continuity/one-sided limits
Topic 5: Limits at infinity
Topic 6: The Tangent Line Problem
Topic 7: Basic Differentiation Rules
Topic 8: Derivative as a rate of change
Topic 9: Differentiability and continuity
Topic 10: The Product and Quotient Rules
Topic 11: The Chain Rule

Student Prior Knowledge:
• Translate word problems into equations
• Graph functions (Polynomial, Exponential/Logarithmic, Trigonometric, etc.)
• Coordinate and interpret equations and graphs
• Find slope and write the equation of a line
• Simplify algebraic expressions

Student Objectives:
• Find the limit of a function by various methods
• Find the derivative of a function by various methods
• Use limits and derivatives to solve open response questions

Assessments:
• Textbook based Tests and Quizzes
• AP® Test based Tests and Quizzes
• Labs-Open response questions that will be completed at home, collected and graded
• Homework assignments
• Classwork assignments

Grading:
• Tests (minimum of 2 per quarter) and quizzes (minimum of 5 per quarter) count 60%
• Labs (minimum of 2 per quarter) count 20%
• Homework will count 10%
• Classwork will count 10%

Course Syllabus for 2nd Quarter
AP® CalculusAB (5 credits)

Prerequisites: Algebra 1 and 2, Geometry, Precalculus or Algebra 3 & Trigonometry

Text: Larson, Hostetler, Edwards, Calculus(With Analytic Geometry), 9th Edition, 2008

Required Materials: Text, Notebook and pen/pencil, TI-83/83+/84 graphing calculator

Course Outline:

Second Quarter – Derivative Rules, Applications of the Derivative, Antiderivatives

Topic 1: Implicit Differentiation
Topic 2: Related Rates of Change
Topic 3: Inverse Functions
Topic 4: Extrema on an interval
Topic 5: Rolle’s Theorem and the MVT
Topic 6: Increasing/Decreasing functions and the 1st Derivative test
Topic 7: Concavity and the 2nd Derivative test
Topic 8: Optimization
Topic 9: Rectilinear Motion
Topic 10: Comparison of graphs of f, f’ and f’’

Student Objectives:
• Find derivatives using implicit differentiation
• Solve problems using related rates of change
• Find relative and absolute extrema over an interval
• Use Rolle’s Theorem or MVT to find extrema
• Use derivative tests and sign charts to find intervals where a function is increasing or decreasing and/or where a function is concave up or down
• Optimize functions by finding absolute maximum or minimum using derivatives
• Analyze rectilinear motion using derivatives
• Compare and analyze the graphs of a function, its 1st and 2nd derivative
• Predict a function’s behavior using the graph of its derivative

Assessments:
• Textbook based Tests and Quizzes
• AP® Test based Tests and Quizzes
• Labs-Open response questions that will be completed at home, collected and graded
• Homework assignments
• Classwork assignments

Grading:
• Tests (minimum of 2 per quarter) and quizzes (minimum of 5 per quarter) count 60%
• Labs (minimum of 2 per quarter) count 20%
• Homework will count 10%
• Classwork will count 10%

Course Syllabus for 3rd Quarter
AP® CalculusAB (5 credits)
Prerequisites: Algebra 1 and 2, Geometry, Precalculus or Algebra 3 & Trigonometry

Text: Larson, Hostetler, Edwards, Calculus(With Analytic Geometry), 9th Edition, 2008

Required Materials: Text, Notebook and pen/pencil, TI-83/83+/84 graphing calculator

Course Outline:

Third Quarter – Integration, Applications of Integration, Differential Equations

Topics:
Topic 1: Area estimation using Riemann sums
Topic 2: Area estimation using numerical methods
Topic 3: Integration by Substitution
Topic 4: Natural log functions
Topic 5: Inverse Trigonometric functions
Topic 6: Integration by parts
Topic 7: Separation of Variables
Topic 8: Slope fields

Student Objectives:
• Find the area under a curve using approximating rectangles
• Find the area under a curve using definite integrals
• Integrate using variable substitution
• Integrate natural log derivatives
• Integrate inverse trig functions
• Integrate expressions in parts

Assessments:
• Textbook based Tests and Quizzes
• AP® Test based Tests and Quizzes
• Labs-Open response questions that will be completed at home, collected and graded
• Homework assignments
• Classwork assignments

Grading:
• Tests (minimum of 2 per quarter) and quizzes (minimum of 5 per quarter) count 60%
• Labs (minimum of 2 per quarter) count 20%
• Homework will count 10%
• Classwork will count 10%

Course Syllabus for 4th Quarter
AP® CalculusAB (5 credits)
Prerequisites: Algebra 1 and 2, Geometry, Precalculus or Algebra 3 & Trigonometry

Text: Larson, Hostetler, Edwards, Calculus(With Analytic Geometry), 9th Edition, 2008

Required Materials: Text, Notebook and pen/pencil, TI-83/83+/84 graphing calculator

Course Outline:

Fourth Quarter –Area between 2 curves, Volume

Topics:
Topic 1: Area of a region between two curves
Topic 2: Volume by the disc method
Topic 3: Volume by cross sections
Topic 4: Review/Practice
Topic 5: Post-AP® Test Project

Student Objectives:
• Calculate the area between 2 curves
• Find the volume of a solid by the disc method
• Find the volume of a solid by cross sections
• Review and practice before the AP® Test
• Complete a project based on major Calculus concepts

Assessments:
• Textbook based Tests and Quizzes
• AP® Test based Tests and Quizzes
• Labs-Open response questions that will be completed at home, collected and graded
• Homework assignments
• Classwork assignments
• Concept tie-in Project

Grading:
• Tests (minimum of 2 per quarter) and quizzes (minimum of 5 per quarter) count 50%
• Labs (minimum of 2 per quarter) count 20%
• Projects will count 20%
• Classwork will count 10%

**All students registered in AP® Calculus AB must participate in the AP® Test administered in early May.