### ALGEBRA I

This course has been designed to help the student understand the basic structure of algebra (the real number system). It includes working with real numbers, basic equations, polynomials, fractional equations, linear equations, functional problems, inequalities, rational numbers, irrational numbers, and quadratic functions.

**Credit 1 Grade 9**

### GEOMETRY

This Geometry course is intended to be a thorough course in various aspects of geometry. The course covers the traditional concepts of Euclidean Geometry, including proofs, analysis of figures, and applications.

**Credit 1 Grade 10**

**Prerequisite-Algebra I**

### GEOMETRY Pre AP

In Geometry Pre AP, the same required topics for Geometry are covered. There is less review of the basics, and students are expected to have already mastered fundamental skills. There is a greater level of difficulty in problems used for both class work and tests, and the speed at which these classes progress is faster than the regular levels. Because of this, additional topics are usually covered in the higher level, which are not addressed in the regular classes. This course includes strategies designed to help students be successful in future AP courses and is intended for those students going into Honors Precalculus and then AP Calculus. It is strongly recommended that freshman students who enrollin this class have a minimum grade of “A” in their 8th grade Algebra Iclass. Other students should have at least an “A” in Regular Algebra I.

**Note:** For students who wish to take Geometry and Algebra II during the same year to schedule Calculus as a senior: You may only schedule these two maths at the same time if you are taking both for the entire year at the Pre AP-level.

**Credit 1 Grade 9-10**

**Prerequisite – Algebra I, Approval of Math Dept. (review of the high school placement test for 9th grade students)**

### ALGEBRA II

This course opens with a review of basic concepts from Algebra I and then covers in a more advanced style ideas which were first presented in Algebra I, but now are expanded into far more detail, rigor, and complexity. Included among these topics are inequalities, linear equations, functions, factoring, rational expressions, and various types of

word problems. In the second phase of the course, essentially new material is presented, which includes irrational and complex numbers, alternate methods of solving equations (including completing the square and the quadratic formula), variations, and analytic geometry.

**Credit 1 Grade 11**

**Prerequisite – Successful completion of Algebra I and Geometry. See Calculator note.**

### ALGEBRA II Pre AP

In Algebra II Pre AP, the same topics for Algebra II are covered. In the Pre AP-level, there is less review of the basics, and students are expected to have already mastered fundamental skills. There is a greater level of difficulty in problems used for both class work and tests, and the speed at which these classes progress is faster than the regular levels. Because of this, additional topics are usually covered in the higher levels, which are not addressed in the regular classes. This course includes strategies designed to help students be successful in future AP courses. (Note: This class is necessary to take Precalculus Honors in future years. It is strongly recommended that students who enroll in this classhave a minimum grade of “C+” in Geometry Pre AP or a “B+” inRegular Geometry.)

**Credit 1 Grade 10-11**

**Prerequisite – Algebra I, Geometry Pre AP, or taken with Geometry Pre-AP.**

**Teacher Recommendation/approval of Math Dept. See Calculator note.**

### ADVANCED MATH

(This course counts as a Core Course for TOPS.) This is a college algebra course for students who have completed Algebra I, Geometry, and Algebra II, but who are not prepared for Precalculus. Students will be exposed to a variety of mathematical topics, which will build and expand on skills and concepts designed to aid in success in college algebra.

**Credit 1 Grade 11 – 12**

**Prerequisite – Algebra I, Geometry, Algebra II Teacher Recommendation/approval of Math Dept. See calculator note.**

### PRECALCULUS

(This course counts as a Core Course for TOPS.) This course entails an in-depth review of Algebra II concepts, then trigonometric/logarithmic functions, matrices, conic sections, sequences, series, and other new math concepts and topics. This course may also cover probability and statistics. It is strongly recommended that a student have minimumgrade of “C” in Algebra I, Geometry, and Algebra II. **This class is not intended for students at the junior level.**

**Credit 1 Grade 12**

**Prerequisite – Algebra I, Geometry, Algebra II Teacher Recommendation/approval of Math Dept. See Calculator note.**

### PRECALCULUS (HONORS)

(This course counts as a Core Course for TOPS.) This course is generally intended for 11th grade students who plan to take AP Calculus in the senior year and for those 12th grade students who want a more challenging math course. This course entails basic trigonometric and logarithmic functions, conic sections, number theory, statistics, probability, matrices, sequence, and series. The course may move into vectors, polar coordinates, and the Cartesian plane. It also reviews all previous math concepts and adds new mathematical concepts and topics. **It is strongly recommended that a student have a minimum Grade of “C+” in Algebra II Pre AP to take this course.**

**Credit 1 Grade 11-12**

**Prerequisite – Algebra I, Geometry Pre AP, Algebra II Pre AP Teacher Recommendation/approval of Math Dept.**

**See Calculator note at bottom of page.**

### CALCULUS (HONORS)

This course entails in-depth coverage of basic principles of calculus, starting with limits and working to derivatives. From applications of derivatives, it moves into integrals and various applications of integrals. This class is a strong review of all previous math concepts and will include new topics not having been covered in previous math classes. **No exemptions for exams are allowed in this class. It is stronglyrecommended that a student have a minimum grade of “C+” inPrecalculus Honors to enroll in this class.
Credit 1 Grade 12**

**Prerequisite – Pre Calculus (H)**

**Teacher Recommendation/approval by Math Dept. See calculator note.**

### AP CALCULUS

This course entails in-depth coverage of basic principles of calculus, starting with limits and working to derivatives. From applications of derivatives, it moves into integrals and various applications of integrals. This class is a strong review of all previous maths and will include new topics not covered in previous math classes. Since part of the course entails the use of a graphing calculator to prepare students for the calculator active portion of the AP test that tests calculator skills, students need a graphing calculator for this course. **NOTE:** This class is often granted college credit if a successful grade is attained on theCollege Board National Test given in May each year. It is the student’s responsibility to check with the institution which he/she plans to attend concerning its policy on awarding college credit for AP credit courses. Each student is required to take the national advanced placement exam to receive AP credit. Current cost of the AP exam is $94. **No exemptions for exams are allowed in this class. It is strongly recommended that a student have a minimum grade of “B-” in Pre-Calculus Honors to enroll in this class.**

**Credit 1 Grade 12**

**Prerequisite – Pre Calculus (H)**

**Teacher Recommendation/approval by Math Dept.**

***GRAPHING CALCULATOR***

For Algebra II, Pre-Calculus, and Calculus, the Texas Instruments graphing calculator Model 84 is recommended.