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Program of Studies - Hunterdon Central Regional High School

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#348 – HONORS TRIGONOMETRY- 2.5 CREDITS (MTH 348 HON TRIG)<br />

Grades: 11-12<br />

Prerequisites: #311 Honors Algebra 2 and #320, #321 Honors or G&T Geometry<br />

Recommendation: We encourage students to challenge themselves and recognize that “academic rigor” is one <strong>of</strong> the key<br />

determinants to learning. Students are also encouraged to evaluate the demands <strong>of</strong> their entire schedule when considering this<br />

course. Students should contemplate the risk involved when choosing courses that build upon previous courses and recognize<br />

that prior performance impacts the ability to achieve at the same level in subsequent courses. Specifically, our data shows that<br />

students scoring less than a “B” in the prerequisite #311 Hon Algebra 2 generally receive a “C” or below in this course. In<br />

addition, please understand that once a student has selected this course, his/her ability to make a subsequent level change is<br />

dependant upon seat availability.<br />

Honors Trigonometry is a weighted course designed to prepare the student for AP Calculus. Topics include: right and oblique<br />

triangles; circular functions; trigonometric functions and their inverses; trigonometric identities; applications <strong>of</strong> all the<br />

aforementioned functions; vectors; complex numbers; and polar coordinates. The computer and graphing calculator are used<br />

frequently as tools to investigate the properties <strong>of</strong> trigonometric functions. This course may be elected during the sophomore<br />

year, provided all prerequisites are met and approval has been obtained by the department supervisor.<br />

#352 – ADVANCED PLACEMENT CALCULUS AB - 7.5 CREDITS (MTH 352 AP CALCULUS AB)<br />

Grade: 12<br />

Prerequisites: #341 Honors Analysis and #348 Honors Trigonometry<br />

Recommendation: We encourage students to challenge themselves and recognize that “academic rigor” is one <strong>of</strong> the key<br />

determinants to learning. Students are also encouraged to evaluate the demands <strong>of</strong> their entire schedule when considering this<br />

course. Students should contemplate the risk involved when choosing courses that build upon previous courses and recognize<br />

that prior performance impacts the ability to achieve at the same level in subsequent courses. Specifically, our data shows that<br />

students scoring less than a “B” in the prerequisite #348 Hon. Trigonometry and #341 Hon. Analysis generally receive a “C”<br />

or below in this course. In addition, please understand that once a student has selected this course, his/her ability to make a<br />

subsequent level change is dependant upon seat availability.<br />

This is a weighted course designed for the mathematically mature student who plans to enter a pr<strong>of</strong>ession where a technical or<br />

scientific background is desirable. The AB course is equivalent to a college-level Calculus <strong>of</strong>fering and consists <strong>of</strong> the<br />

following topics: rate <strong>of</strong> change; differentiation; integration; applications; transcendental functions; analytic geometry; and<br />

parametric equations. Students who successfully complete the course are recommended to take the Advanced Placement Test <strong>of</strong><br />

the College Entrance Examination Board, which may result in advanced credit toward college mathematics courses. This course<br />

is <strong>of</strong>fered only during the first three quarters <strong>of</strong> the year. A student who elects Advanced Placement Calculus AB may not elect<br />

Advanced Placement Calculus BC. The TI-83 calculator (or equivalent) will be used extensively in this course.<br />

#353 – ADVANCED PLACEMENT CALCULUS BC – 7.5 CREDITS (MTH 353 AP CALCULUS BC)<br />

Grade: 12<br />

Prerequisites: #341 Honors Analysis and #348 Honors Trigonometry<br />

Recommendation: We encourage students to challenge themselves and recognize that “academic rigor” is one <strong>of</strong> the key<br />

determinants to learning. Students are also encouraged to evaluate the demands <strong>of</strong> their entire schedule when considering this<br />

course. Students should contemplate the risk involved when choosing courses that build upon previous courses and recognize<br />

that prior performance impacts the ability to achieve at the same level in subsequent courses. Specifically, our data shows that<br />

students scoring less than 93 in the prerequisite #348 Hon. Trigonometry and #341 Hon. Analysis generally receive a “C” or<br />

below in this course. In addition, please understand that once a student has selected this course his/her ability to make a<br />

subsequent level change is dependant upon seat availability.<br />

This is a weighted course designed for the mathematically mature student who plans to enter a pr<strong>of</strong>ession where a technical or<br />

scientific background is desirable. The pace <strong>of</strong> the course is most challenging. The BC course may be equivalent to a twosemester<br />

college-level Calculus <strong>of</strong>fering and consists <strong>of</strong> the following topics: rate <strong>of</strong> change; differentiation; integration;<br />

advanced applications; transcendental functions; analytic geometry; parametric equations, differential equations, Taylor series,<br />

Maclaurin series, power series, and analysis <strong>of</strong> polar curves. Students who successfully complete the course are recommended<br />

to take the Advanced Placement Test <strong>of</strong> the College Entrance Examination Board, which may result in advanced credit toward<br />

two semesters <strong>of</strong> college mathematics courses. This course is <strong>of</strong>fered only during the first three quarters <strong>of</strong> the year. A student<br />

who elects Advanced Placement Calculus BC may not elect Advanced Placement Calculus AB. The TI-83 calculator (or<br />

equivalent) will be used extensively in this course.<br />

59

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