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:

1. 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.
2. 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.
3. 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.
4. The student will understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
5. The student will be able to model a written description of a physical situation with a function, a differential equation, or an integral.
6. The student will be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.

Course Description:

Algebra I covers algebraic concepts that include working with formulas, discussing unknowns in problems, graphing ideas, exponents, polynomials, systems of equations, the quadratic formula, and concepts in coordinate geometry. Algebra I integrates geometry, statistics, probability, and technology.

Student Materials Needed: scientific calculator

3-ring binder

Goals/Objectives:

1. The student will recognize, construct, interpret, and evaluate expressions.
2. The student will be able to solve equations, inequalities and systems of equations.
3. The student will understand functions and their graphs and perform operations on the functions.
4. The student will be able to classify functions and know the characteristics of each family.
5. The student will be able to construct or select a function to model a real-world situation in order to solve applied problems.

Course Description:

Trigonometry includes a thorough study of trigonometry using right triangles and oblique triangles with practical applications and concludes with the study of circular functions and applications involving circles and velocity problems. Graphing trigonometric functions will also be explained.

Goals/Objectives:

1. The student will know and be able to apply the Pythagorean Theorem and its converse.
2. The student will be able to define the six trigonometric functions of acute angles in a right triangle as ratios of sides. Solve problems about angles, side lengths, or area using trigonometric ratios in right triangles.
3. The student will be able to define and use the Law of Sines, Law of Cosines, and the Ambiguous Case and use them to solve problems. Find the area of a triangle using the formula A = and Heron’s Area Formula.
4. The student will be able to determine exact values of the trigonometric functions for

0 ° , 30 ° , 45 ° , 60 ° , and their integer multiplies and apply in various situations.

5. The student will be able to graph the trigonometric functions.

6. The student will be able to use radians to find arc length, area of sectors, linear velocity, and angular velocity.
7. The student will be able to use and apply the fundamental identities, sum and difference identities for sine, cosine, and tangent, and the double angle identities.

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:

1. 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.
2. 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.
3. 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.
4. The student will understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
5. The student will be able to model a written description of a physical situation with a function, a differential equation, or an integral.
6. The student will be able to use technology to help solve problems, experiment, interpret results, and verify conclusions.

Course Description:

Trigonometry includes a thorough study of trigonometry using right triangles and oblique triangles with practical applications and concludes with the study of circular functions and applications involving circles and velocity problems. Graphing trigonometric functions will also be explained.

Goals/Objectives:

1. The student will know and be able to apply the Pythagorean Theorem and its converse.
2. The student will be able to define the six trigonometric functions of acute angles in a right triangle as ratios of sides. Solve problems about angles, side lengths, or area using trigonometric ratios in right triangles.
3. The student will be able to define and use the Law of Sines, Law of Cosines, and the Ambiguous Case and use them to solve problems. Find the area of a triangle using the formula A = and Heron’s Area Formula.
4. The student will be able to determine exact values of the trigonometric functions for

0 ° , 30 ° , 45 ° , 60 ° , and their integer multiplies and apply in various situations.

    5. The student will be able to graph the trigonometric functions.

    6. The student will be able to use radians to find arc length, area of sectors, linear velocity, and angular velocity.

6. The student will be able to use and apply the fundamental identities, sum and difference identities for sine, cosine, and tangent, and the double angle identities.