Kennedy-Kenrick Catholic High School

Mathematics

"Nature is but the mathematical thoughts of God." Through an understanding of the structure of mathematics, students are led to experience a closeness with God by sharing in the development of higher order thinking skills. Problem-solving and mathematical modeling are integral components of the learning process. By encouraging students to explore and use their God-given talents, students are prepared for analytical, logical and critical thinking necessitated in our modern technological environment in accordance with the National Council of Teachers of Mathematics Standards.

GOALS:

To foster a positive attitude, cultivate a love for and enjoyment towards mathematics
To meet the individual needs of students by developing and challenging their capabilities, thus preparing them for intelligent citizenship and a career choice congruent with their potential
To provide students with the opportunity to develop mathematical competence appropriate to their abilities, thus building their self-confidence
To develop and strengthen problem-solving skills based on logical thinking, accuracy, articulation and communication, stimulating the thinking process
To develop proficiency with mathematical skills and a facility for the manipulative processes in Algebra, Geometry, Trigonometry, Calculus, and Statistics
To foster the development of the students’ character by expecting an effort worthy of their individual abilities

Grade 9

Freshmen entering with Archdiocesan approved Algebra 1 credit may take course Algebra 2 (Course 351) provided they pass the standardized Algebra 1 test mandated by the Secondary Mathematics Curriculum Committee of the Archdiocese. This test may be administered to other incoming students at the discretion of the Academic Dean and the Mathematics Department Chairperson.

311 Honors Algebra 1-1 credit

This college preparatory course includes the study of linear equations in one and two variables, functions, inequalities, graphing on a line and in the coordinate plane, quadratic equations, rational and radical algebraic expressions and matrices. The course is challenging, certain topics are covered at an accelerated pace, allowing time for more advanced topics. Supplementary assignments are required. The text emphasizes a functional approach that leads to a deeper understanding of concepts and mastery of skills. The course is designed to meet the needs of students who are well motivated and mathematically talented. Graphing calculator required, Texas Instruments TI-83 recommended.

312 Algebra1-1 credit

313 Algebra 1-1 credit

This course includes the study of real numbers, linear equations in one and two variables, functions, inequalities, graphing on a line and in the coordinate plane, quadratic equations, rational and radical algebraic expressions and matrices. The text used emphasizes mastery of skills. The course is designed to meet the needs of students with average mathematical abilities whose future interests do not require a strong mathematical background. Graphing calculator required, Texas Instrument TI-83 recommended.

Grade 10

321 Honors Algebra 2-1 credit

This course provides for the continued development of the major concepts of algebra combined with geometry. Topics include linear functions, polynomial and rational algebraic functions, irrational and complex numbers, analytic geometry, quadratic functions and systems, exponential, logarithmic and basic trigonometric functions. An introduction to sequences and series completes the course. The course is designed to meet the needs of students who are well motivated and mathematically talented. Course may be taken in conjunction with Honors Geometry by sophomores with departmental recommendation. Graphing calculator is required, Texas Instruments TI-83 recommended.

Prerequisite: 82% or above in Honors Algebra 1, or 92% or above in Algebra 1 Track 2 with recommendation from the teacher and approval from the chairperson.

322 Algebra 2-1 credit

Prerequisite: An average of 80% or above in Algebra 1 Track 2, or an average of 88% or above in Algebra 1 Track 3 with recommendation from the teacher and approval from the chairperson.

323 Algebra 2-1 credit

This course provides for the continued development of the major concepts of algebra. Topics include linear functions, polynomial and rational algebraic functions, irrational and complex numbers, quadratic functions and systems, exponential, logarithmic and basic trigonometric functions. The course is designed to meet the needs of students with average mathematical abilities. Graphing calculator is required, Texas Instruments TI-83 recommended.

Grade 11

331 Honors Geometry-1 credit

The major part of the course is the study of Euclidian Geometry with stress on the basic axioms of geometry and proficiency in developing formal proofs through deductive reasoning. Topics include angles, congruent and similar polygons, circles, solids, construction and loci, coordinate geometry, area and volume. Algebraic skills are reviewed and strengthened through the application of solving geometric problems. In the latter part of the course, students build on geometric concepts as they get introduced to right angle trigonometry and concepts. The course is designed to meet the needs of students who are well motivated and mathematically talented. Course may be taken in conjunction with Honors Algebra 2 with departmental recommendation.

Graphing calculator required. Texas Instrument TI-83 recommended.

For sophomore elective corequisite: Honors Algebra 2 and 82% or above in Honors Algebra 1, or 92% or above in Algebra 1 Track 2 with recommendation from the teacher and approval of from the Chairperson.

332 Geometry-1 credit

The major part of this course is the study of Euclidian Geometry with stress on the basic axioms of geometry and proficiency in developing formal proofs through deductive reasoning. Topics include angles, congruent and similar polygons, circles, solids, construction and loci, coordinate geometry, area and volume. The treatment of topics is considerably less rigorous than in the Honors class. Algebraic topics are reviewed and strengthened through the application of solving geometric problems. In the latter part of the course, students build on geometric concepts as they get introduced to right triangle trigonometry and concepts. The course is designed to meet the needs of students with good mathematical abilities. Calculator is required, Texas Instruments TI-83 recommended.

Prerequisite: 82% or above in Algebra 1 Track 2, or 92% or above in Algebra 1 Track 3 with recommendation from the teacher and approval from the Chairperson.

333 Geometry-1 credit

The major part of this course is the study of Euclidian Geometry with stress on the basic axioms of geometry and introduction to formal proofs. Topics include angles, congruent and similar polygons, circles, solids, construction and loci, coordinate geometry, area and volume. Algebraic skills are reviewed and strengthened through the application of solving geometric problems. In the latter part of the course, students build on geometric concepts as they get introduced to right triangle trigonometry. This course is designed to meet the needs of students with average mathematical abilities. Calculator is required, Texas Instruments TI-83 recommended.

Junior prerequisite: Successful completion of Algebra 2 Track 2 or 3.

Grade 12

345 Advanced Placement Calculus AB-1 credit

This Advanced Placement course adheres to the guidelines for the Calculus AB level mandated by the College Board and culminates in the students taking the Advanced Placement Calculus Exam offered by the College Board in May for college credit. The course includes a rigorous study of the differential and integral calculus with applications, including limits, continuity, maxima and minima, optimization, with some advanced techniques of differentiation and integration. Students are required to take the College Board exam (approximate exam fee: $73). Graphing calculator is required, Texas Instruments TI-83 recommended.

Prerequisite: PreCalculus; An average of 85% or above in Honors PreCalculus, or an average of 95% or better in PreCalculus with teacher recommendation and approval from the Chairperson.

344 Honors Statistics-1 credit

This senior elective course offers an exploration of both descriptive and inferential statistics, providing the student with contemporary tools for the sciences and insights necessary for ntelligent citizenship in today’s complex society.

Prerequisite: 78% or above in Honors PreCalculus, or 88% or above in Track 2 PreCalculus. Course may be taken concurrently with AP Calculus or Honors PreCalculus with teacher recommendation and approval of the Chairperson.

341 Honors PreCalculus/Trigonometry-1 credit

This course is designed to prepare students for the study of Calculus. It includes a thorough, in-depth study of analytic geometry, the algebra of functions, polynomial and rational algebraic functions, irrational and complex numbers quadratic functions and systems, exponential, logarithmic and trigonometric functions, sequences and series. Time will be spent on topics in Statistics closely related to scientific investigation. This course is designed to meet the needs of students who are well-motivated and mathematically talented.

Prerequisite: A combined average of 80% or above in Honors Algebra 2 and Geometry, or a combined average of 88% or above in Algebra 2 and Geometry Track 2 with recommendation from the teacher and approval of the chairperson.

342 PreCalculus/Trigonometry-1 credit

This course is designed to prepare students for the study of Calculus. It includes a study of analytic geometry, the algebra of functions, polynomial and rational algebraic functions, irrational and complex numbers, quadratic functions and systems, exponential, logarithmic and trigonometric functions, sequences and series. Time will be spent on topics in Statistics closely related to scientific investigation.

Graphing calculator is required, Texas Instruments TI-83 recommended.

Prerequisite: A combined average of 80% or above in Algebra 2 and Geometry Track 2, or a combined average of 88% or above in Algebra 2 and Geometry Track 3 with recommendation from the teacher and approval of the department chairperson.

343 PreCalculus-1 credit

This course is designed to reinforce major topics of algebra, lay a foundation in Trigonometry and Analytic Geometry and provide the foundation for further studies in mathematics, business, commerce, technology and the sciences. Graphing calculator is required, Texas Instruments TI-83 recommended.

Prerequisite: Successful completion of Algebra 2 Track 2 or 3, teacher recommendation and approval from the Chairperson.

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