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High School Program Planning Guide

Algebra I AID: 43000 Grade: 9 Length: YearCredit: Math Homework: AveragePrerequisite: Approval from 8th grade math teacherThis course is the first of a two-year Algebra course sequence and is designed for those stu-dents not yet ready for rigor of a traditional Algebra I course. This two-year combination of courses gives students more flexibility in their pace of learning. Concepts will be developed over more time, with an emphasis on conceptual understanding as well as symbolic. The course will review the skills of working with negative numbers, decimals, fractions, and percent neces-sary to succeed in Algebra. The course continues with the use of variables, words into symbols, real numbers and their properties, solving equations and inequalities, polynomials, linear equations and inequalities, graphs of linear equations, and problem solving. Following Algebra I A, students will move on to Algebra I B.

Algebra I BID: 43001 Grade: 10 Length: YearCredit: Math Homework: AveragePrerequisite: Algebra I AThis class is the second of a two-year Algebra I curriculum designed to help students complete the requirements of a traditional first year Alge-bra course with more flexibility in their pace of learning. Concepts will be developed over more time, with an emphasis on conceptual under-standing as well as symbolic. The course will include: solving systems of linear equations and inequalities, exponents and exponential functions,

Mathematics

Typical Course Sequence

The mathematics curriculum is designed to meet the needs of students who have varying back-grounds, knowledge and skills, as well as diverse interests and career goals. The three main goals of the mathematics program are to develop math-ematical skills, to encourage an attitude toward mathematics that encourages subsequent learning and application of mathematical concepts and skills, and to foster an understanding of the role of mathematics in society.

The typical sequence of courses is listed above. Other sequences are occasionally recommended based upon students skills and backgrounds.

College bound students who plan to enter fields which do not necessarily require an extensive mathematics background can take a sequence of courses that may include Algebra II; Functions, Statistics and Trig; and AP Statistics. Students who plan to enter fields requiring a strong foundation in higher mathematics (engineer-ing, pure sciences) can take a sequence of courses that could include Algebra II/Trig, Pre-Calculus, AP Calculus, and AP Calculus BC. All students must earn two math credits in high school, one of which must be at the level of geometry or higher. Students usually take math for all four years.

To qualify for enrollment in a mathematics course, students are expected to successfully com-plete the prerequisite courses listed. Students who transfer to SAS from schools which do not offer these courses or who come from an integrated math program will be interviewed and/or tested by a mathematics department member to deter-mine the appropriate class placement.

Algebra I Geometry

Algebra II Functions, Stats, Trig

Discrete Math

AP Statistics

Algebra II Trig Pre-Calculus

AP Calculus I AB

AP Calculus II BC

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quadratic equations and functions, polynomials and factoring, rational functions and coordinate geometry. Following the successful completion of Algebra I B, students will be prepared for Geom-etry. For purposes of counting math graduation credits, Algebra IA and IB are equivalent to one year/credit of Algebra I.

Algebra IID: 43003 Grade: 9-11 Length: YearCredit: Math Homework: AveragePrerequisite: Approval from 8th grade math teacherThis is the standard high school Algebra I course designed for students who have mastered the basic mathematics skills and concepts of Pre-Al-gebra. Algebra I covers the properties of alge-braic expressions, equation solving, inequalities and systems, graphing of first and second degree functions, and dealing with exponential expres-sions, polynomials, and rational expressions. The approach used will emphasize problem solving, oral and written communication, and reasoning skills. Mathematical connections will be made throughout the course, including patterning, geometry, and probability and statistics, with a strong emphasis on technology.

Geometry AID: 43010 Grade: 10-11 Length: YearCredit: Math Homework: AveragePrerequisite: Completion of Algebra I A/B, identified math disability, or performance on math placement testThis course is designed for students who have completed the Algebra I A/B sequence. The main topics of geometry will be studied using more of a conceptual approach. While there will be a basic introduction to proofs, the emphasis will be on solving problems. The course covers triangles, congruency, quadrilaterals, polygons, similarity, circles, and areas and volumes of two- and three-dimensional shapes. This course does not fulfill the prerequisite for Algebra II/Trig.

GeometryID: 43011 Grade: 9-12 Length: YearCredit: Math Homework: AveragePrerequisite: Algebra I, Algebra I A/B sequence. Approval from 8th grade math teacher is required for 9th graders.This course is designed for students who have successfully completed Algebra I. The course inte-grates a traditional Euclidean deductive approach

with an inductive approach in which investiga-tive, hands-on activities help students to more fully understand the concepts studied. The first semester includes writing flow chart, two-column and paragraph proofs, and throughout the course there is a strong emphasis on the application of algebra to solving geometric problems. The course covers logic, triangles, congruency, quadrilaterals, polygons, similarity, circles, and area and vol-ume of two- and three-dimensional shapes. This course satisfies the prerequisites for Algebra II and Algebra II/Trigonometry.

Algebra IIID: 43004 Grade: 9-12 Length: YearCredit: Math Homework: AveragePrerequisite: Geometry. Approval from 8th grade math teacher is required for 9th graders.This is the standard high school Algebra II course designed for students who have mastered the basic mathematical skills and concepts of Algebra I. This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, effective use of technology, and abstract reasoning. Students will solve and apply linear systems; explore radical, rational, quadratic, and higher degree polynomial relations and their applications; and investigate the relationship between logarithmic and exponential functions. Students will reason mathematically and com-municate their thinking as they solve multi-step problems. This course is a prerequisite for Func-tions, Statistics and Trigonometry (FST).

Applied Statistical ReasoningID: 43029 Grade: 10-12 Length: SemesterCredit: Math Homework: AveragePrerequisite: Semester I grade of C or higher in Geometry or completion of a higher level math courseWhen LeBron James makes 6 shots in a row is he more or less likely to make his next shot? Sports fans, and probably LeBron in this case, be-lieve players can enter a zone where the 7th shot has a better chance of going in, but can statistics predict the likely outcome of the next shot? Do students perform better listening to music during tests? In the stock market, how well does past performance predict future returns? In this course we investigate real world statistical applications using hands on data gathering and utilization of

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High School Program Planning Guide

current data. This course will better prepare stu-dents to function in a data driven future. Major topics include: data analysis using graphs other data representations; statistical modeling using simulations and real world data; hypothesis and statistical inference.

Algebra II/TrigonometryID: 43012 Grade: 9-12 Length: YearCredit: Math Homework: HeavyPrerequisite: Semester I grade of B+ or higher in HS Ge-ometry or approval from current math teacherThis course is required for students who plan to go directly into Pre-Calculus. All students who plan to study math-related and technical fields are encouraged to enroll in this course. This course is an accelerated second year algebra pro-gram including an introduction to trigonometry. Algebra topics are expanded to include complex numbers, polynomial, rational and trigonometric functions. Applications are integrated into all ma-jor topics. Algebra II/Trigonometry is considered a core course for any student who plans to pursue mathematics or math-related fields in college. On transcripts this course is designated as being equivalent to an honors course.

Functions, Statistics, and Trigonometry (FST)ID: 43006 Grade: 10-12 Length: YearCredit: Math Homework: AveragePrerequisite: Algebra II or Algebra II/TrigonometryThis course serves as a link from Algebra II to Pre-Calculus, AP Statistics or to most standard first-year college algebra courses. It reviews con-cepts learned in Algebra II and introduces most of the main concepts taught in Pre-Calculus. Functions, Statistics and Trigonometry (FST) is less rigorous than Pre-Calculus. Throughout the year students will be expected to explore data, graphs and functions. This course covers model-ing, statistics, trigonometry, polynomials, loga-rithms and exponentials, as well as sequences and series.

Pre-CalculusID: 43020 Grade: 10-12 Length: YearCredit: Math Homework: HeavyPrerequisite: Semester I grade of B- or higher in Algebra II/Trig, B in FST, or current math teachers approvalThis course is the study of functions and function theory. Elementary functions as well as logarith-

mic, exponential, and trigonometric functions are studied in depth. Arithmetic and geometric sequences and series will also be studied. The course is a prerequisite for Calculus. For stu-dents who take this course during the senior year, Pre-Calculus provides an excellent foundation for pursuing math studies at the university level. On transcripts this course is designated as being equivalent to an honors course.

Discrete MathematicsID: 43017 Grade: 11-12 Length: YearCredit: Math Homework: AveragePrerequisite: Completion of FST or Pre-CalculusThis course provides an introduction to a variety of contemporary topics that are useful in various fields such as business and social sciences, as well as the physical and computer sciences. The topics may include probability and statistics, logic, graph theory, linear programming, game theory, recur-sion and difference equations, modular arithmetic and information theory. The course is geared for the student who wants to continue on in math and learn many real life applications, but might not intend to pursue AP level math classes.

AP StatisticsID: 43028 Grade: 10-12 Length: YearCredit: Math Homework: HeavyPrerequisite: Semester I grade of B- or higher in Algebra II/Trig, FST, or Pre-Calculus; completion of Algebra II plus Applied Statistical Reasoning; or current math teachers approvalThe purpose of this course is to introduce stu-dents to the major concepts and tools for col-lecting, analyzing, and drawing conclusions from data. The four major themes are exploring data, planning a study, anticipating patterns, and statis-tical inference.

AP Calculus I ABID: 43026 Grade: 11-12 Length: YearCredit: Math Homework: HeavyPrerequisite: Semester I grade of B- or higher in Pre-Calculus or current math teachers approvalThis course covers topics typically found in a first year calculus course at US universities. The course covers limits, continuity, differentiation and integration, and their applications. This course requires a solid pre-calculus background.

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AP Calculus BC with Multivariable CalculusID: 43027 Grade: 11-12 Length: YearCredit: Math Homework: HeavyPrerequisite: Semester I grade of B- or higher in AP Cal-culus AB or current math teachers approvalIn this course, students first complete the AP Calculus BC syllabus, which covers several new integration techniques and a unit on Taylor Series. The course then covers topics typically found in a second year calculus course at US uni-versities, such as partial differentiation, multiple integration, and vector analysis.

Assessment of Students Understanding(by Topic)

Students Name : Teachers Name:

Algebra & Geometry Grade 7

Degree of Understanding

% Algebra 1

Degree of Understanding

% Geometry

Degree of Understanding

%

Algebraic Expressions Equations Parallel Lines and Planes

Ratio, Rate, Percentage Algebraic Expressions Congruent Triangles

Solving Equations Functions Notation Quadrilaterals

Inequalities Inequalities Inequalities in Geometry

Graph Exponent Laws Similar Polygons

Polynomials Graph Right Triangles

Measurement Quadratic Functions Circles

Probability & Statistics System of Equations Constructions and Logi

Polynomals Plane and Solid Geometry

Coordinate Geometry

Algebra 2 & Trigonometry Degree of

Understanding %

Pre-Calculus Degree of

Understanding %

Quadratic Equations Functions

Exponential Functions and Logarithms

Polynomial Functions

Simultaneous Equations and Matrices

Complex Number

Statistics Exponential and Logarithmic Functions

Trigonometry Trigonometric Functions

Analytic Trigonometry

Vectors

Systems of Equations and Inequalities

Analytic Geometry

Sequences and Series