Clearview Regional High School > Departments

Mathematics

Advanced College Mathematics and Statistics

AP Statistics

Math Lab

Algebra I
Length: Year Credits: 5
Grade level: 9

Students in this course will be introduced to algebra through its relationship with science, environment, social science and real world scenarios. Topics such as data and measurement, probability, ratio and proportion, equations and inequalities, functions and graphs, and open-ended questions will be explored. This developmental course is designed to develop students technological and problem solving abilities.

Advanced Algebra I
Length: Year Credits: 5
Grade Level: 9

This course is the foundation for all courses in advanced mathematical studies and is designed for students who have a solid foundation in basic arithmetic as well as knowledge and understanding of the real number system. Topics include: the order of operations, factoring, basic math functions, solving and graphing linear equations, operations with polynomials and exponents, systems of equations and the solution of word problems containing unknown variables.

Honors Algebra I
Length: Year Credits: 5
Grade Level: 9
Prerequisite: Prior academic achievement and teacher recommendation.

The same topics will be taught in Algebra I Honors as in the Algebra I course. Students, however, will be given a more rigorous and challenging approach. This course is designed for students who plan to pursue additional advanced mathematics courses, including Honors Geometry, Honors Algebra II, and Honors Pre-Calculus.

Geometry
Length: Year Credits: 5
Grade Level: 10, 11, 12
Prerequisite: Algebra I or teacher recommendation.

This course will emphasize and focus on in-depth problem solving skills as well as an understanding of important geometry concepts through their connection to real world applications. Topics include: geometric probabilities, inductive and deductive reasoning, properties of polygons, triangles and circles, as well as constructing formal proofs. High School proficiency skills will be embedded into the course curriculum.

Advanced Geometry
Length: Year Credits: 5
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I

Students are taught early in this course to use terms and notations to convey geometric ideas. Much of the course involves the relationship of points, lines, planes, and angles, such as parallelism and perpendicularity. Many features of special geometry are used; therefore, three dimensional figures and models are examined. Students will be introduced to reasoning in mathematics through constructing formal proofs. Students will also develop congruencies between figures, similarities, areas of circles, polygons, and surface, as well as volumes of solids.

Honors Geometry
Length: Year Credits: 5
Grade Level: 9, 10, 11
Prerequisite: Honors Algebra I OR prior academic achievement in Algebra I and teacher recommendation.
*Honors Algebra II and Honors Geometry may be taken concurrently.

The same topics will be covered in Honors Geometry as in traditional geometry. However, more difficult problems and more rigorous proofs will be selected for work. Also, constructions will be required of the students.

Advanced Algebra II
Length: Year Credits: 5
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I and Geometry

This course is designed to reinforce and build upon concepts studied in Algebra I. Concepts that are further explored include: the properties of systems of linear equations, matrices, and quadratic functions. Topics are evaluated using graphs, tables, and algebraic manipulation. Algebra II also continues to develop students’ logic and reasoning in problem solving. Applications in everyday situations are explored.

Honors Algebra II
Length: Year Credits: 5
Grade Level: 9, 10, 11, 12
Prerequisite: Honors Algebra I or Geometry or prior academic achievement and teacher recommendation.

The same topics will be covered in Honors Algebra II as in the Algebra II course. Students, however, will be exposed to a more rigorous and challenging approach. This course is designed for the self-motivated student of mathematics who plans to pursue additional advanced mathematics courses, including Calculus. A graphing calculator (TI-84) is recommended for this course.

Pre-Calculus
Length: Year Credits: 5
Grade Level: 10, 11, 12
Prerequisite: Geometry and Algebra II, teacher recom-mendation

This course is designed for the mathematics student with a solid foundation in both Algebra II and Geometry. Students improve logical reasoning skills through problem solving and the applications of algebraic and trigonometric functions. Emphasis is placed on independent student discovery learning and logical development of concepts taught through lecture. Topics covered include relations and functions, inverses, exponential and logarithmic functions, polynomial division, the rational root theorem, the unit circle, the laws of sines/cosines, and trigonometric equations. A graphing calculator (TI-84) is recommended for this course.

Honors Pre-Calculus
Length: Year Credits: 5
Grade Level: 10, 11, 12
Prerequisite: Honors Algebra II and Honors Geometry OR prior academic achievement in Algebra II and Geometry, and teacher recommendation.

This challenging course will prepare students for success in Calculus. Students will participate in a rigorous approach to the follow topics: relations and functions, the conic sections, systems of equations, polynomial division and the rational root theorem, polynomial inequalities, as well as trigonometric functions, proofs, graphs, and equations. Students will be involved daily with intense work in solving problems using logical reasoning and the applications of learned material in order to maintain pace with the challenging curriculum. A graphing calculator (TI-84) is recommended.

Honors Calculus
Length: Year Credits: 5
Grade Level: 11, 12
Prerequisite: Honors Pre-Calculus OR prior academic achievement in Pre-Calculus and teacher recommendation.

Calculus is offered to college-bound students who have a very strong background in Geometry and Pre-Calculus. Topics to be covered include slope of a curve, continuity and limits, rate of change, the derivative and its application, and the integral and its application. Although a variety of criteria will be used to evaluate achievement, grades earned will primarily be based on tests and quizzes. The purpose for using this method is to prepare students for the reality of college level assessment. A graphing calculator (TI-84) is recommended for this course.

Advanced Placement Calculus AB
Length: Year Credits: 5
Grade Level: 11, 12
Prerequisite: Honors Pre-Calculus and teacher recommen-dation

Advanced Placement Calculus AB is designed for the serious and motivated mathematics student who has demonstrated consistent outstanding performances in his/her high school mathematics courses. The student who enrolls in Advanced Placement Calculus AB will be expected to work at a college level, with significant study and preparation outside the classroom. Students are encouraged to take the Advanced Placement Calculus Exam. Successful performance on this exam may result in students earning credit, advanced placement, or both when they enter college. A graphing calculator (TI-84) is recommended for this course.

Advanced Placement Calculus BC
Length: Year Credits: 5
Grade Level: 12
Prerequisite: AP Calculus AB and teacher recommendation.

In addition to a review of Calculus AB material, students will study integration by parts and partial fractions, improper integrals, Euler’s method, logistic differential equations, L’Hopital’s rule, polynomial approximations and series, and the analysis of planar curves given in polar form, parametric form and vector form. Students are encouraged to take the Advanced Placement Calculus Exam. Successful performance on this exam may result in students earning credit, advanced placement, or both when they enter college. A graphing calculator (TI-84) is recommended for this course.

College Mathematics
Length: Year Credits: 5
Grade Level: 12
Prerequisites: Integrated Mathematics III or Algebra II

This course is an academic math class for those senior students who plan to attend a local community college. Students will take the Accuplacer exam and the results will guide instruction for this program. The curriculum is directly aligned with Gloucester County College’s developmental courses and will prepare students to retake the Accuplacer exam in the spring. The topics of study include: basic operations with fractions, ratios and proportions, equations, inequalities, and polynomials. Students who pass the spring administration of the Accuplacer exam will progress beyond the community colleges developmental course, and as a result they will avoid the additional cost associated with noncredit developmental college courses.

Advanced College Mathematics & Statistics
Length: Year Credits: 5
Grade Level: 12
Prerequisite: Algebra II, teacher recommendation

This course is designed for seniors planning to attend college. Advanced College Math and Statistics is an academic senior math course for students choosing to enhance their mathematical knowledge in a challenging environment. This course provides a transition to a first-year college algebra or college-level probability and statistics course. Students will study algebraic functions, exponential and logarithmic functions, descriptive and inferential probability and statistics, statistical theory, as well as methods to organize and analyze data. A graphing calculator (TI-84) is recommended for this course.

Advanced Placement Statistics
Length: Year Credits: 5
Grade Level: 12
Prerequisite: Honors Algebra II, Honors Pre-Calculus, OR prior academic achievement in Pre-Calculus and teacher recommendation

This college-level course is an in-depth study of statistics for highly motivated students. Its purpose is to introduce students to the major concepts and tools used for collecting, analyzing, and drawing conclusions from data. This course is recommended for students with an interest in pursuing a career that utilizes the analysis of data. Students are encouraged to take the Advanced Placement Exam in May, giving them the opportunity to earn college credit. A graphing calculator (TI-84) is recommended for this course.

Math Lab
Length: Year Credits: 5
Grade Levels: 9, 10, 11
*This course does NOT count towards students’ three-year mathematics graduation requirement.

This course offers students additional academic support in Mathematics. Students are identified based upon performance on state tests, standardized tests scores, teacher recommendations and academic achievement. Pupils are expected to take Lab classes to which they are assigned. The Math Lab curriculum is leveled to study Algebra I, Geometry and Algebra II topics. These concepts are learned through in-class and computer based activities. Students will be placed into the Math Lab that is appropriate for them based on their developmental needs and prior academic achievement.