Weeks 1 + 2: Pre-Calculus Review
Weeks 3 - 5: Limits and Continuity
Weeks 6 - 9: The Derivative
Weeks 10 - 12: Begin Applications of the Derivative
- Algebra II enhances the concepts learned in previous algebra courses. Topics include algebraic expressions and forms, linear forms, powers, roots, and functions based on these concepts. Students will study logarithmic, polynomial, and other special functions for their abstract properties and as tools for modeling real-world situations.
- Key: math
- Key: math
- key: math
- Key: math
Course Description:
Advanced placement calculus includes a brief review of functions, trigonometry, and geometry. The course will include finding derivatives of functions, applying the derivative, continuity, limits of the functions, definite integrals, and application of integration. The AP test will be given in May(not required). Upon paying the fee your GPA will be switched to a five-point scale as long as you maintain a B- (80%) or better in the class. The fee for the AP test is $83. All AP students will take an exam first and second trimester, but they will be exempt from the third trimester exam in lieu of the AP exam.
Goals/Objectives:
- The student will be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal and understand the connections among these representations.
- The student will understand the meaning of the derivative in terms of a rate of change and local linear approximation and be able to use the derivatives to solve a variety of problems.
- The student will understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and use integrals to solve a variety of problems.
- The student will understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
- The student will be able to model a written description of a physical situation with a function, a differential equation, or an integral.
- The student will be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.
Course Description:
Advanced placement calculus includes a brief review of functions, trigonometry, and geometry. The course will include finding derivatives of functions, applying the derivative, continuity, limits of the functions, definite integrals, and application of integration. The AP test will be given in May(not required). Upon paying the fee your GPA will be switched to a five-point scale as long as you maintain a B- (80%) or better in the class. The fee for the AP test is $83. All AP students will take an exam first and second trimester, but they will be exempt from the third trimester exam in lieu of the AP exam.
Student Materials Needed: TI-83 graphing calculator
3-ring binder
Goals/Objectives:
- The student will be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal and understand the connections among these representations.
- The student will understand the meaning of the derivative in terms of a rate of change and local linear approximation and be able to use the derivatives to solve a variety of problems.
- The student will understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and use integrals to solve a variety of problems.
- The student will understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
- The student will be able to model a written description of a physical situation with a function, a differential equation, or an integral.
- The student will be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.
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Original theme created by Shaun Daubney (Newbury College). |
