Curriculum and Instruction
The Burke High School Mathematics Department understands that mathematical power will only be developed if students are actively engaged in doing mathematics and that how mathematics is taught is just as important as what is taught. At Burke, our students experience an enriching mathematics curriculum and instruction that emphasizes students' ability to reason to solve problems, to communicate ideas mathematically, and to make connections between mathematics and other disciplines.

Enrichment Opportunities
In addition to traditional offerings of Algebra, Geometry and Math Essentials, Burke students have the opportunity to explore mathematics at an accelerated pace. Our honors curriculum includes Geometry Honors, Algebra 3-4 Honors, Algebra 5-6, Pre-Calculus/Trigonometry Honors, Enrichment Mathematics Honors, Advanced Placement Calculus AB, Advanced Placement Calculus BC, Calculus 3 Honors, Differential Equations Honors, and Advanced Placement Statistics.

Technology Experiences
Burke students are exposed to a technology-rich mathematics curriculum. Graphing calculators and computers allow students to investigate mathematical ideas from different perspectives resulting in deeper mathematical understanding.

Advanced Placement Classes
The Burke mathematics curriculum offers students numerous enrichment opportunities. Our Advanced Placement program provides students with the opportunity to receive up to two semesters of college credit in calculus. Students in Calculus AB and Advanced Placement Statistics may earn one semester of college credit and the Calculus BC students may earn two semesters of credit. At Burke students have the opportunity to go beyond one year of calculus and enroll in our Calculus 3 and Differential Equations courses.

Outreach Program
To stimulate interest in mathematics and to recognize mathematical ability, the Burke Mathematics Department is proud to sponsor an eighth grade Math-Science Olympiad that is attended by over 100 eighth grade students. The event is challenging, exciting and informative and is developed and presented by Burke mathematics and science teachers and students.


MATHEMATICS
COURSE GUIDE 2006-2007


COURSE TITLE: Math Essentials 1-2
COURSE NUMBER: 040581/040582
PREREQUISITES: Special needs placement
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course is designed for identified special education and ESL students who are not yet prepared to enter the regular sequence of mathematics courses beginning with pre-algebra. In addition, any student who has failed pre-algebra twice is eligible to enroll in this course. Topics include operations with whole numbers, decimals, fractions, and percents, data analysis, plane geometry, measurement, and problem solving.

COURSE TITLE: Math Essentials 3-4
COURSE NUMBER: 040591/040592
PREREQUISITES: Special needs placement
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course is designed for identified special education and ESL students who are not yet ready to enter the regular sequence of math courses beginning with pre-algebra. In addition, any student who has failed pre-algebra twice is eligible to enroll in this course. Topics include fractions, decimals, percents, and integers, data analysis and probability, measurement, plane geometry, and problem solving.

COURSE TITLE: Math Essentials 5-6
COURSE NUMBER: 040631/040632
PREREQUISITES: Special needs placement
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course is designed for identified special education and ESL students who are not yet ready to enter the regular sequence of math courses beginning with pre-algebra. In addition, any student who has failed pre-algebra twice is eligible to enroll in this course. Topics include numeration with all real numbers, pre-algebra topics, plane geometry, measurement, and data analysis and probability.

COURSE TITLE: Pre-Algebra: Gateway to Algebra
COURSE NUMBER: 040181/040182
PREREQUISITES: none
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course is designed to meet the needs of the student who will benefit from a transition course that bridges the similarities of arithmetic and algebra. This course will contain spiraling reinforcement of basic algebraic concepts and topics in order to prepare students for successful placement in Algebra 1-2. This course will cover the content standards for pre-algebra, including operations on real numbers, conversions among fractions, decimals, and percents, solving linear equations and inequalities, graphing linear equations, working with polynomials, and using measures of central tendency to interpret data.

COURSE TITLE: Algebra 1-2
COURSE NUMBER: 040271/040272
PREREQUISITES: none
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course is a first-year algebra survey. It covers traditional algebra topics including a study of the four basic operations dealing with signed numbers and polynomials, solution of first and second degree equations, factoring, verbal problems, systems of linear equations, graphing and writing linear equations and inequalities, and simplifying exponential expressions.

COURSE TITLE: Geometry 1-2
COURSE NUMBER: 040351/040352
PREREQUISITES: Algebra 1-2
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This is an introductory course that emphasizes the fundamental vocabulary, properties, and techniques of geometry. Topics include congruence and similarity of figures, parallelism and perpendicularity, right triangle relationships, formal and informal proof, coordinate geometry, properties of polygons and circles, and perimeter, area, and volume of two-dimensional and three-dimensional figures.

COURSE TITLE: Honors Geometry 1-2
COURSE NUMBER: 040361/040362
PREREQUISITES: A grade of 1, 2, or 3 in Algebra 1-2
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This is an accelerated geometry course that offers the fundamental vocabulary, properties, and techniques with an emphasis on proof and coordinate geometry. Topics include congruence and similarity of figures, parallelism and perpendicularity, right triangle relationships, formal and informal proof, coordinate geometry, properties of polygons and circles, and perimeter, area, and volume of two- and three-dimensional figures. Exams emphasize problem solving, critical thinking, multiple step proofs, and applications.

COURSE TITLE: Algebra 3-4
COURSE NUMBER: 040291/040292
PREREQUISITES: Algebra 1-2 and Geometry 1-2
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This course covers the topics of a traditional second-year algebra course. Content includes solving polynomial equations as well as linear, absolute value, and quadratic equations and inequalities, working with exponents and logarithms, complex numbers, systems of equations and inequalities, and simple probability.

COURSE TITLE: Honors Algebra 3-4
COURSE NUMBER: 040301/040302
PREREQUISITES: A grade of 1, 2, or 3 in Algebra 1-2 and Geometry 1-2
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This is an accelerated second year Algebra course with an increased emphasis on mathematical reasoning and structure. The Algebra 3-4 content is included (solving polynomial equations as well as linear, absolute value, and quadratic equations and inequalities, working with exponents and logarithms, complex numbers, systems of equations and inequalities, and simple probability) as well as matrix algebra, rational functions, and compound and conditional probabilities. Exams emphasize problem solving, critical thinking, multiple step proofs, and applications.

COURSE TITLE: Algebra 5-6
COURSE NUMBER: 040381/040382
PREREQUISITES: Algebra 1-2, Geometry 1-2, Algebra 3-4
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 10, 11, 12
DESCRIPTION: This course is designed as a bridge between Algebra 3-4 and a course in precalculus/trigonometry at either the high school or college level. Major emphasis of this course is on strengthening essential algebraic skills needed for the study of advanced mathematics, an introduction of trigonometry fundamentals, and topics from probability and statistics.

COURSE TITLE: Honors Precalculus/Trigonometry 1-2
COURSE NUMBER: 040411/040412
PREREQUISITES: A grade of 1, 2, or 3 in Algebra 1-2, Geometry 1-2, Honors Algebra 3-4
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11
DESCRIPTION: This accelerated course covers those topics in mathematics necessary for the successful study of Advanced Placement Calculus. Topics include sequences and series, polar coordinates, right triangle trigonometry, circular functions, logarithms, and graphs of polynomial and rational relations and functions. Exams emphasize problem solving, critical thinking, multiple step proofs, and applications.

COURSE TITLE: Precalculus/Trigonometry 1-2
COURSE NUMBER: 040421/040422
PREREQUISITES: Algebra 1-2, Geometry 1-2, Algebra 3-4
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 12
DESCRIPTION: This course involves the study of algebraic and trigonometric concepts to prepare students for college calculus. Topics include sequences and series, right triangle trigonometry, circular functions, logarithms, and graphs of polynomial and rational relations and functions. Exams emphasize problem solving and critical thinking.
Seniors only.

COURSE TITLE: Advanced Placement Calculus AB
COURSE NUMBER: 040451/040452
PREREQUISITES: Algebra 1-2, Geometry 1-2, Algebra 3-4, Precalculus/Trigonometry
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 9, 10, 11, 12
DESCRIPTION: This is a first course in calculus equivalent to one semester of college level calculus. This course follows the College Board's Advanced Placement Calculus AB syllabus, which stresses the concept of limit and introduces the student to differential and integral calculus including techniques and theorems. Completion of this course prepares students for the Calculus AB Advanced Placement Exam.

COURSE TITLE: Advanced Placement Calculus BC
COURSE NUMBER: 040461/040462
PREREQUISITES: A grade of 1, 2, or 3 in Algebra 1-2, Honors Geometry 1-2, Honors Algebra 3-4, Precalculus/Trigonometry
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 10, 11, 12
DESCRIPTION: This is a first course in calculus equivalent to two semesters of college level calculus. This course follows the College Board's Advanced Placement Calculus BC syllabus, which includes functions, graphs, limits, derivatives, integrals, and polynomial approximations and series. Completion of this course prepares students for the Calculus BC Advanced Placement Exam.

COURSE TITLE: Honors Calculus 3
COURSE NUMBER: 040471
PREREQUISITES: AP Calculus BC
DURATION: 1 semester
CREDIT: 1 credit
GRADE: 11, 12
DESCRIPTION: A third semester of college level calculus that provides further instruction in calculus beyond the Advanced Placement courses. Topics include partial derivatives, multiple integrals, and calculus of vector functions.

COURSE TITLE: Honors Differential Equations
COURSE NUMBER: 040541
DURATION: 1 semester
CREDIT: 1 credit
GRADE: 11, 12
DESCRIPTION: This course offers a study in the nature of ordinary differential equations with emphasis on applications.

COURSE TITLE: AP Statistics
COURSE NUMBER: 040841/040842
PREREQUISITES: A grade of 1 or 2 in Algebra 1-2, Geometry 1-2, Algebra 3-4, Precalculus/Trigonometry
DURATION: 1 year
CREDIT: 1 credit per semester
GRADE: 11, 12
DESCRIPTION: This is a college level first course in statistics that follows the College Board's Advanced Placement Statistics syllabus. The course also follows the American Statistical Association and Mathematical Association of America joint committee recommendations for teaching introductory statistics. Using the TI-83 Plus graphing calculator, students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics include exploring data, planning a study, anticipating patterns, and statistical inference. Completion of this course prepares students for the Statistics Advanced Placement Exam.