Mathematics

Algebra A

Course #: MA137 Grades: 9, 10 Credits: .5/semester Length: Year Expectation Level: 3

Prerequisite: 8th Grade Math

Algebra A is the first in a sequence of two courses designed for career- and college-bound students who would benefit from the opportunity to complete Algebra I over two years. Students struggling with mastery of pre-algebra skills, understanding mathematical concepts, and problem-solving applications have the opportunity to strengthen skills and abilities while progressing through the algebra curriculum. Topics include order of operations, rational numbers, ratio and proportion, problem-solving, and linear equations and inequalities. Based on student proficiency, other topics may be included.

Text and materials: Algebra 1, Larson; organizational material as determined by the teacher; calculator (TI-83 preferred)

Expectations: Students are expected to develop skills of mathematical problem-solving and become proficient in specific course content. Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester. Consistent completion of assignments is expected. Motivation and commitment to quality work standards are essential requirements.

Algebra B

Course #: MA138 Grades: 9, 10 Credits: .5/semester Length: 1 Year Expectation Level: 3

Prerequisite: 8th Grade Math

Algebra B is the second in a sequence of two courses designed for career- and college-bound students who would benefit from the opportunity to complete Algebra I over two years. Students struggling with mastery of pre-algebra skills, understanding mathematical concepts, and problem-solving applications have the opportunity to strengthen skills and abilities while progressing through the algebra curriculum. Topics include polynomial expression, factoring, quadratic equations, rational expressions, radicals, problem-solving, and linear systems of equations. Based on student proficiency, other topics may be included.

Text and materials: Algebra 1, Larson; organizational materials as determined by the teacher; calculator (TI-83 preferred)

Algebra I-3

Course #: MA131 Grades: 9-12 Credit: .5/semester Length: Year Expectation Level: 3

Prerequisite: 8th Grade Math

Designed for career- and college-bound students, Algebra I-3 emphasizes the knowledge and skills essential for success in academic study beyond high school graduation. Students study the following: Order of operations, rational numbers, radicals, ratio and proportion, solving and graphing linear equations and inequalities, exponent rules, polynomial expressions, statistics and probability, and problem-solving.

Text and materials: Algebra 1, Larson; organizational materials as determined by the teacher (list available on the first day of class); calculator: TI-83 or TI-83+ (preferred)

Expectations: Students are expected to develop skills of mathematical problem-solving and become proficient in specific course content. Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester. Considerable out-of-class study and consistent completion of assignments is expected. Motivation and commitment to quality work standards are essential requirements.

Algebra I-4

Course #: MA140 Grade: 9 Credit: .5/semester Length: Year Expectation Level: 4

Prerequisite: 8th grade teacher recommendation

Algebra I-4 is designed for students who have demonstrated excellent achievement in the field of mathematics. This course is both rigorous and challenging, strongly focusing on theory and application. Students study the following: Order of operations, rational numbers, radicals, ratio and proportion, solving and graphing linear equations and inequalities, exponent rules, polynomial expressions, solving and graphing quadratic equations, graphing exponential equations, statistics and probability, and problem-solving.

Text and materials: Algebra 1, Larson; organizational materials as determined by the teacher (list available on the first day of class); calculator: TI-83 or TI-83+ (preferred)

Expectations: Students are expected to develop skills of mathematical problems-solving and become proficient in specific course content. Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester. Students are expected to participate in daily class/group discussion, allow significant out-of-class time for assignments and study (average four hours/week), and manage extended projects. Industrious and highly motivated students will find this demanding course engaging.

Geometry 2

Course #: MA121 Grades: 9-12 Credit: .5/semester Length: Year Expectation Level: 2

Prerequisite: Algebra I

Geometry 2 is designed for students with a basic foundation in algebra. Students investigate core topics at an introductory level. The pace of study is based on the practical application of skills and knowledge. This course provides students with a basic understanding of geometry and preparation for further, more advanced study in the field. Students study: Points, lines, planes, space, geometric construction, polygons, similarity, perimeter, area, volume, circles, and spheres. A basic introduction to trigonometry is included.

Text and materials: Geometry, Larson; organizational materials as determined by the teacher (list available on the first day of school); scientific calculator, compass, ruler, and protractor

Expectations: Students are expected to develop skills of mathematical problem-solving and become proficient in specific course content. Students are expected to attend and participate in class, complete assignments on time, and work individually and within groups. Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester. Students should expect to spend an average of 30 minutes per class studying and/or completing assignments.

Geometry 3

Course #: MA135 Grades: 9-12 Credits: .5/semester Length: Year Expectation Level: 3

Prerequisite: Algebra I-3

Geometry 3 is designed for career- and college-bound students and emphasizes the knowledge and skills essential for success in academic study beyond high school graduation. Students must be prepared to complete work at a level of quality that reflects high academic standards. Students study basic vocabulary, how to properly name geometric figures, points, lines, planes, an introduction to proofs, triangles, parallel lines, polygons, similarity, ratios, right triangle relationships, trigonometric ratios and applications, circles, areas, and volumes. This course is taught with a strong emphasis on algebra reinforcement.

Text and materials: Geometry, Larson; scientific calculator, ruler, compass, and protractor

Expectations: Students are expected to further develop skills of mathematical problem-solving and become proficient in specific course content. Students are expected to participate daily in class, to complete group and individual class work, and to spend an average of three or more hours per week outside of class studying and completing assignments.

Geometry 4

Course #: MA142 Grades: 9, 10 Credits: .5/semester Length: Year Expectation Level: 4

Prerequisite: 8th Grade Advanced Math or Algebra 1

Geometry 4 is designed for students who have demonstrated excellent achievement in the field of mathematics. This course is both rigorous and challenging, strongly focusing on theory and application. Students study points, lines and planes; parallel lines; angles and triangles, proofs; transformations in the plane; polygons; similarity; right triangles; trigonometric ratios and applications; constructions; circles and spheres; surface area and volume. Algebra skills are strongly reinforced.

Text and materials: Geometry, Larson; geopak (includes scientific calculator, cm/in ruler, colored pencils, compass, pencils, protractor, and scissors).

Expectations: Students are expected to become proficient problems-solvers, by developing their logic and reasoning. Students are expected to participate in daily class/group discussion, allow significant out-of-class time for assignments and study (average five hours/week), and manage extended projects. Industrious and highly motivated students will find this demanding course engaging.

Algebra II-2

Course #: MA221 Grades: 10-12 Credits: .5/semester Length: Year Expectation Level: 2

Prerequisite: Algebra I, Geometry

Algebra II-2 is designed for students with a basic foundation in algebra and geometry. Students investigate core topics at an introductory level. The pace of study is based on the practical application of skills and knowledge. This course provides students with a basic understanding of Algebra II topics and preparation for further, more advanced study in the field. Students study the following: order of operations, algebraic expressions, linear functions and inequalities, quadratics, quadratic equations, polynomials, rational exponents, radical functions, exponential functions, and rational functions. Additional topics may include probability and statistics.

Text and materials: Three-ring binder with dividers; scientific or graphing calculator

Algebra II-3

Course #: MA231 Grades: 10-12 Credits: .5/semester Length: Year Expectation Level: 3

Prerequisite: Algebra I-3, Geometry 3

Algebra II-3 is designed for career- and college-bound students and emphasizes the knowledge and skills necessary for success in academic study beyond high school graduation. Students must be prepared to complete work at a level of quality that reflects high academic standards. Students study the following: Quadratics, quadratic equations, polynomials, rational exponents, radical functions, exponential functions, rational functions, and probability and statistics.

Text and materials: Algebra 2, Larson; three-ring binder with dividers; scientific or graphing calculator (TI-83+ strongly recommended)

Expectations: Students are expected to further develop skills of mathematical problem-solving and become proficient in specific course content. Students are expected to participate daily in class, to complete group and individual class work, and to spend considerable out-of-class time (an average of three or more hours per week outside of class studying and completing assignments). Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester.

Algebra II-4

Course #: MA242 Grades: 9-11 Credits: .5/semester Length: Year Expectation Level: 4

Prerequisite: Algebra I and Geometry 4

Algebra II-4 is designed for students who have demonstrated excellent achievement in the field of mathematics. This course is both intense and challenging, strongly focusing on theory and application. The course proceeds at a rapid pace. Students study linear, quadratic, rational, algebraic, irrational algebraic and inverse functions; inequalities; systems of functions and inequalities; probability and statistics. Students model problems using a variety of functions, justifying the process and results. Students derive and use formulas. Problem-solving and communicating mathematically, in a variety of ways, is emphasized in and out of class.

Text and materials: Algebra 2, Larson; graphing calculator (TI-84 or TI-84 Plus strongly recommended)

Expectations: Students are expected to become proficient problem-solvers by developing their logic and reasoning, as well as becoming proficient in specific course content. Students are expected to participate in daily class/group discussion, allow significant out-of-class time for assignments and study (at least one hour for each hour of class), and manage extended projects. Industrious and highly motivated students will find this demanding course engaging.

Precalculus 3

Course #: MA332 Grades: 11,12 Credits: .5/semester Length: Year Expectation Level: 3

Prerequisite: Algebra II-3

Precalculus 3 is designed for career- and college-bound students. This course emphasizes the knowledge and skills essential for success in academic study beyond high school graduation. Students must be prepared to complete work at a level of quality that reflects high academic standards. Trigonometry topics include right triangles, function graphs, verifying identities, deriving and using formulas, trigonometric equations, and non-right triangles. Algebra topics include exponential and logarithmic functions. Students model problems using a variety of functions and must justify process and results. Problem-solving and communicating mathematically in a variety of ways are emphasized in and out of class.

Text and materials: Precalculus, A Graphing Approach, Larson, Hostetler, and Edwards (Houghton Mifflin); graphing calculator TI-83+

Expectations: Students are expected to further develop skills of mathematical problem-solving and become proficient in specific course content. For each hour in class, a student should expect to spend 45-60 minutes out of class completing assignments and studying.

Precalculus 4

Course #: MA341 Grades: 9-12 Credits: .5/semester Length: Year Expectation Level: 4

Prerequisite: Algebra II-4

Precalculus 4 is specifically designed for the serious math student who has demonstrated excellent understanding and skills in Algebra II-4 and Geometry 4. It proceeds at a fast pace with a strong focus on theory and applications. The course focuses on the following major topics: Trigonometric functions and their applications; unit circle trigonometry; right triangle trigonometry; inverse functions; identities and formulas; law of sines and cosines; vectors; complex numbers; polar coordinates; series and sequences, conic sections; and probability. Additional study may include an introduction to limits.

Text and materials: Precalculus with Limits, A Graphing Approach, Larson, Hostetler, and Edwards (Houghton Mifflin); graphing calculator TI-83+

Calculus 4

Course #: MA441 Grades: 9-12 Credits: .5/semester Length: Year Expectation Level: 4

Prerequisite: Precalculus

Calculus 4 is specifically designed for strong math students who wish to continue study at an honors mathematics level. The class is equivalent to one semester of College Calculus I. It proceeds at a challenging pace. The following topics are studied: Limits, differential calculus, related rates, applications of differentiation, integral calculus, and applications of integration. Time permitting, advanced integrating techniques are explored.

Text and materials: Calculus with Analytic Geometry, Roland E. Larson, Robert P. Hostetler; graphing calculator TI-83+, TI-84, TI-84+ strongly recommended

Expectations: Students are expected to further develop skills of mathematical problem-solving and become proficient in specific course content. Student will know how to operate a graphing calculator and be able to work independently.

AP Calculus AB

Course #: MA451 Grades: 9-12 Credits: .5/semester Length: Year Expectation Level: 5

Prerequisite: Precalculus 4

AP Calculus AB is specifically designed for the serious math student who has demonstrated excellent understanding and skill proficiency in Precalculus IV (honors) and Algebra II-4 (honors). This course engages the student in an intense and rigorous academic level of study. It proceeds at a fast pace, strongly focusing on theory and applications. The course focuses on the following topics: Limits, differential calculus, related rate problems, application of differentiation, integral calculus, application of integration, and advanced integration techniques.

Text and materials: Calculus with Analytic Geometry, Ron Larson, Robert P. Hostetler; graphing calculator TI-84

Expectations: Demonstration of content mastery by taking the AP Calculus Exam at the end of the year is expected. Students must be proficient in the operation of graphing calculator, be able to work independently and in groups, and devote a least one hour each day to homework.

AP Calculus BC

Course #: MA454 Grades: 9-12 Credits: .5/semester Length: Year Expectation Level: 5

Prerequisite: AP Calculus AB

AP Calculus BC is a full-year course in the calculus of functions of a single variable. Topics include arc length, surface area, integration techniques, sequences and series, polar and parametric equations, and vector valued functions. This course represents college-level mathematics, for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.

Text and materials: Calculus with Analytic Geometry, Advanced Edition, Ron Larson, Robert P. Hostetler; graphing calculator (TI-83 preferred)

Expectations: A successful experience in AP Calculus AB. Demonstration of content mastery by taking AP Calculus BC Exam at the end of the year is expected. Students must be proficient in the operation of graphing calculator, be able to work independently and in groups, and devote at least one hour each day to homework.

AP Statistics

Course #: MA452 Grades: 11,12 Credits: .5/semester Length: Year Expectation Level: 5

Prerequisite: 93 or better in Precalculus 3, Precalculus 4 concurrent

The pacing and grading of AP Statistics adhere to the curriculum, scoring guideline, and expectations as established by the College Board. Students study the following topics: Graphing and interpreting one- and two-variable statistics, probability, probability distributions (including binomial, geometric, and normal distributions), sampling distributions, and inference procedures for proportions, averages, and chi-squared distributions.

Text and materials: The Practice of Statistics 5th Edition, Starnes and Tabor; graphing calculator: TI-83+, TI-84, TI-84+ strongly recommended

Expectations: Students are expected to know how to operate a graphing calculator, be able to work independently and in groups, and devote five hours or more per week to reading, homework and studying. There is a writing element to this course. It is expected the students use correct grammar and can articulate their thoughts in writing. Demonstration of content mastery by taking the AP Statistics Exam at the end of the year is expected. Requirement of June final is contingent on taking the AP Exam (see handbook).

Financial Algebra

Course #: MA333 Grades: 10-12 Credits: .5/semeste Length: Year Expectation Level: 3

Prerequisite: Algebra II

Mathematics plays a fundamental role in today’s world, including our complex financial environment. Using practical business problems and real-world personal financial issues, Financial Algebra explores areas of mathematics that help us understand, predict, and control our financial world. Topics such as investments, the stock market, business start-ups, banking, credit cards, insurance, income taxes, business planning, home buying, and budgeting are the framework in which students explore and master mathematical concepts and skills such as data analysis (scatter plots, averages, frequency distributions); fitting data to equations; linear, quadratic, exponential, and piecewise models; interest formulas (simple, compound, and continuous); and present and future value of money.

Text and materials: Financial Algebra, Gerver and Sgroi; scientific or graphing calculator (TI-83 preferred)

Expectations: Students will have basic analytic tools needed to understand financial issues and develop sound financial strategies used to reach financial goals personally and in the business world. Students are expected to participate daily in class, complete group and individual class work, and spend considerable out-of-class time (an average of three or more hours per week outside of class) studying and completing assignments. Long-term and weekly problems, notebook, reports, and journals may be included in each quarter/semester.

Probability and Statistics

Course #: MA334 Grades: 11,12 Credits: .5/semester Length: Year Expectation Level: 3

Prerequisite: Algebra II

This is an introductory course in probability and statistics and designed for career- and college-bound students, emphasizing the knowledge and skills essential for success in academic study beyond high school graduation. Students must be prepared to complete work at a level of quality that reflects high academic standards. Particular topics include samples and statistics, graphical data representations, central tendency and variability, scatter plots and correlation, general probability, random variables and their distributions, the Normal probability distribution, sampling distributions, estimation, and hypothesis testing.

Text and materials: Elementary Statistics: Picturing the World, Larson and Farber; TI-83 (or equivalent) calculator preferred; TI-30 adequate

Expectations: Students are expected to further develop skills of mathematical problem solving and become proficient in specific course content. Students are expected to participate daily in class, to complete group and three or more hours per week outside of class studying and completing assignments.