COURSE CATALOG
Algebra 1 / Honors Algebra 1
2 Semesters
Required for Graduation
This course includes material on the following major topics: Language of Algebra; adding and multiplying real numbers; transforming and solving equations and problems; addition and multiplication of polynomials; factoring; fractions and mixed expressions; radical expressions; inequalities; graphing functions; relations; linear and quadratic equations; simultaneous equations; rational and irrational numbers; basic introduction into Geometry and Trigonometry. Students having completed Algebra 1 prior to entering St. Francis may take Geometry in their freshman year, subject to their passing a placement test.
Geometry / Honors Geometry
2 Semesters
Required for Graduation
Prerequisite: Algebra 1
Requirement for Honors Geometry: a grade of "B" or higher in Honors Algebra 1 and teacher recommendation. Outstanding students from Algebra 1 may be recommended if space permits.
This course includes proofs and material on the following major topics: points, lines and planes; angles and their measures; perpendicular and parallel lines; congruent triangles and their applications; similar polygons; quadrilaterals; inequalities, right triangles; Pythagorean Theorem; trigonometry; circles, tangents, arcs and chords; area and volumes of polygons, prisms, pyramids, cylinders and cones; construction and loci; coordinate geometry, distance, slope and midpoint; transformation.
Algebra 2
2 Semesters
Required for Graduation
Prerequisites: Algebra 1 and Geometry
This course includes the following topics: vocabulary and operations of algebra; properties of real numbers; linear open sentences; polynomials; quadratic and higher order equations; coordinate geometry; determinants and matrices.
Algebra 2/Trigonometry
2 Semester Elective
Prerequisites: Algebra 1 and Geometry
Pre-requirement: A grade of "A" in Geometry; a grade "C" or higher in Honors Geometry
This course includes the following topics: vocabulary and operations of algebra; properties of real numbers; linear open sentences; polynomials; quadratic and higher order equations; coordinate geometry; determinants and matrices; basic right triangle trigonometry; solving general triangles.
Honors Algebra 2 / Trigonometry
Offered to Honors Students
Prerequisites: Algebra 1 and grade "B" or higher in Honors Geometry
This course includes the following topics: vocabulary and operations of algebra; properties of real numbers; linear equations; polynomials, rational expressions, radicals; irrational numbers; quadratic equations; exponential and logarithmic functions; trigonometry; circular functions; matrices; permutations and combinations; probability, sequences and series; complex number and polar coordinates; graphing linear quadratic; conic rational and radical functions.
Trigonometry / Pre-Calculus 2
2 Semester Elective
Prerequisites: Algebra 1, and a grade of "B" or
higher in Algebra 2
The major topics are circular functions - their graphs and properties; proving identities involving circular functions; periodic motion, inverses of circular functions; trigonometric functions; solving right angles; law of cosines; law of sines. Pre-Calculus - The major topics are algebra of functions; polynomial functions; limits and continuity; logarithmic and exponential functions.
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MATHEMATICS |
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Department Chair,
Algebra 1
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Algebra 2 |
Fr. Chris Thiel,
OFM Cap., M.DIV.
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Honors Algebra 2 Trigonometry/Pre-Calculus,
AP Statistics |
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Mr. Jim O'Connor,
B.E.E.E. |
Honors Geometry,
AP Calculus |
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Mr. John McGuffie,
B.S. |
Trigonometry/Pre-Calculus |
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Honors Algebra 1, Geometry |
Calculus
2 Semester Elective
Prerequisite: Grade of "A" or "B� in Algebra II /Trig.
This most basic calculus course covers the following topics: algebra functions; limits and continuity, derivatives to graphing; optimization, related rates and linear motion; techniques of integration including u-substitution and integration by parts; transcendental functions; area and volume.
AP Calculus (AB)
2 Semester Elective
Prerequisite: Grade of "A" or "B" in Honors
Algebra II/Trig.
All calculus topics listed above are covered, but at a faster pace and with more difficult problems included. Additional topics include simple differential equations plus introduction to numeric analysis. Graphing calculator problems are emphasized. Focus is on preparation for AP Exam.
AP Calculus (BC)
2 Semester Elective
Prerequisite: "A" or "B" in AP Calculus(AB)
Reviews all AB topics. Additional topics are parametric equations and polar curves, advanced integration techniques, improper integrals, arc length and surfaces of rev., infinite sequences and series. Emphasis on preparation for AP Exam.
AP Statistics
2 Semester Elective - Open to Seniors
Prerequisite: Trig Pre Calc, Calculus, AP Calculus, plus recommendation of Department.
Designed to prepare students for AP Exam. The topics are divided into four major themes: exploratory analysis, planning and study, probability, and statistical inference. There is a heavy emphasis on computer lab projects. |
