Taunton High School's Program of Studies

(Mathematics Department)

Applied Mathematics is designed to help students improve mathematical skills and further develop mathematical concepts as they strive to achieve our school’s academic standards in preparation for a two-year college, trade school, or the work force.  In order to prepare for challenges after high school and to achieve our school mission, students in Applied Math work toward meeting the standard for all six of our academic expectations but focus on the following through the duration of the course:  (1) communicate effectively and (2) demonstrate quantitative reasoning.

 

Academic B Mathematics provides students working at grade level the opportunity to continue to improve mathematical skills and to further develop mathematical concepts as they strive to achieve our school’s academic standards in preparation for a four-year college and the work force.  In order to prepare for the challenges after high school and to achieve our school mission, students in Academic B Math work toward meeting and exceeding the standard for all six of our academic expectations but focus on the following through the duration of the course:  (1) communicate effectively, (2) demonstrate quantitative reasoning and (3) employ a variety of technology.

 

Academic A Mathematics provides students working above grade level the opportunity to continue to improve mathematical skills and further develop mathematical concepts as they strive to achieve our school’s academic standards in preparation for a four-year college and the work force.  In order to prepare for challenges after high school and to achieve our school mission, students in Academic A Math work toward meeting and exceeding the standard for all six of our academic expectations but focus on the following through the duration of the course:  (1) communicate effectively, (2) demonstrate quantitative reasoning, (3) employ a variety of technology and (4) think critically.

 

Honors & Advanced Placement Mathematics is designed for the motivated learner and features a rigorous work schedule in developing complex skills and concepts.  This program is for students who have an internalized work ethic and strong academic skills that include: superior algebraic and computational skills, drive and ability to work independently, academic accountability and responsibility, and the willingness to be proactive concerning academics, i.e. requesting a meeting with the teacher after school to clarify content or an assignment and taking measures to manage one’s time with assignments and readings that are to be completed both at home and in school in order to avoid procrastination leading to lower achievement.  In order to prepare for challenges after high school and to achieve our school mission, students in AP/Honors Math work toward exceeding the standard for all six of our academic expectations but focus on the following through the duration of the course:  (1) communicate effectively, (2) demonstrate quantitative reasoning, (3) employ a variety of technology and (4) think critically.

 

Algebra I                5 Credits

113      Algebra I A                               

114      Algebra I B                               

117      Applied Algebra                             

 

Each Algebra I course introduces symbolism to express abstract ideas.  Emphasis will be on involving students in exploring and discovering mathematical concepts as well as connecting algebra to the real world and to other subjects.  The course uses functions as a unifying theme, integrates technology as a problem-solving tool and connects algebra to geometry, data analysis, probability and discrete mathematics.  Areas of study include the following: exploring data, patterns, change, and expressions; functional relationships; linear equations and inequalities; linear functions and their graphs; symbols of equations and inequalities; roots and radicals; coordinate geometry; polynomials; polynomial functions; and quadratic equations.  Every effort is made to accommodate various learning styles.

 

 Math Connections I                     5 Credits

118      For students who select Honors Geometry or Algebra IA

119      For all other students

 

Designed to help prepare freshmen for the demands and high standards of high school in mathematics and enhance each student’s experience in algebra and geometry, this course focuses on the five strands of mathematics: number sense, patterns, relations and functions; geometry; measurement; and data analysis and probability.  Multiple strategies for problem solving will be reinforced and emphasized to improve mathematics achievement in school and on the MCAS tests.  Every effort is made to accommodate various learning styles.

 

Geometry                                                           5 Credits

Honors Prerequisite:  In order to qualify for admission into our honors program, the student must pass the Honors Algebra I midterm and the final examinations in January and June, earn a B+ or better in Honors Algebra I, have a teacher recommendation from his/her 8th grade mathematics teacher, and have the recommendation of the mathematics curriculum supervisor.

 

111      Honors Geometry                          

123      Geometry A                            

124      Geometry B

127      Applied Geometry

 

Each Geometry course uses the processes of deductive and inductive reasoning to develop theory, solve problems and to demonstrate proof.  Areas of study include the following:  congruence; similarity; inequalities; parallelism; perpendicularity; areas and volumes; properties of polygons, circles and three-dimensional figures.  Key algebraic topics are integrated through this course in preparation for MCAS and SAT’s.  Both the Honors Geometry and Geometry A courses are taught from a deductive perspective whereas Geometry B and Applied Geometry primarily utilize an inductive approach.  Every effort is made to accommodate various learning styles.  It is recommended that students who successfully complete Algebra and Geometry take the PSAT/NMSQT.

 

126      Math Connections II                   5 Credits

 

Designed to help prepare sophomores for the demands and high standards of high school in mathematics and enhance each student’s experience in algebra and geometry, this course focuses on the five strands of mathematics: number sense, patterns, relations and functions; geometry; measurement; and data analysis and probability.  Multiple strategies for problem solving will be reinforced and emphasized to improve mathematics achievement in school and on the MCAS tests.  Every effort is made to accommodate various learning styles.  Students are selected for this course based upon their performance in mathematics during freshman year as well as the results of the Stanford-9 tests administered in grade 9.

 

Algebra II              5 Credits

Honors Prerequisite:  In order to qualify for admission into Honors Algebra II, the student must earn a grade of B+ or better in Honors Geometry and have a teacher recommendation from his/her geometry teacher.  Recommend SAT II Math Level IC at the conclusion of course.

 

121      Honors Algebra II                         

133      Algebra II A                            

134      Algebra II B

 

Each Algebra II course is a continuation of the algebra I – geometry sequence.  Emphasis will be on involving students in exploring and discovering mathematical concepts as well as connecting algebra to the real world and other subjects.  The course uses functions as a unifying theme, integrates technology as a problem-solving tool and connects algebra to geometry, data analysis, probability and discrete mathematics.   Areas of study include the following, systems of equations and inequalities; rational expressions; relations and functions; quadratic equations; exponential and logarithmic functions; binomial expansions; complex numbers; conic sections; probability and statistics.  Every effort is made to accommodate various learning styles.                     

137      Applied Integrated Math                5 Credits

 

This course is designed for junior or senior students who having completed the Applied Algebra/Applied Geometry sequence are interested in Tech Prep or a school-to-work program and desire to improve their mathematical skills.  It is also required for junior or senior students who have yet to achieve a competency determination on the MCAS mathematics test.  It is the third course in a three semester sequence and deals with both Algebra and Geometry topics.  The course content is prescribed from a set of main topics included on the MCAS examination as well as an analysis of the individual instructional group’s strengths and weaknesses.  The course also emphasizes problem-solving and test-taking skills.  Students taking this applied level course should continue their study of mathematics by taking Algebra II B to be fully prepared for the rigors of college level mathematics.  Every effort is made to accommodate various learning styles.

 

Algebra III  (Precalculus)                      5 Credits

Honors Prerequisite:  In order to qualify for admission into Honors Algebra III, the student must earn a grade of B+ or better in Honors Algebra II and have a teacher recommendation from his/her Algebra II teacher.  Recommend SAT II Math Level IIC at the conclusion of course.

 

131      Honors Algebra III

143      Advanced Algebra

144      College Algebra                              5 Credits

 

Each third year Algebra course is a pre-calculus course designed to prepare students to take some form of Calculus in the future.  The course integrates technology as a problem-solving tool and makes connections across mathematical disciplines. Areas of study include: trigonometric functions, identities, relationships and equations, complex numbers, series and sequences, theory of polynomial functions, matrices and determinants, and probability and statistics.  Any student who is planning a career in the medical, scientific, engineering or business field should take this course.  Every effort is made to accommodate various learning styles.

 

Statistics                                                            5 Credits

135      Statistics

Prerequisite:  Successful completion of the Algebra II or a third-year algebra course.

 

This course is designed to expose the students to those topics included in a college level course in elementary statistics.  The course integrates technology as a problem-solving tool and makes connections across mathematical disciplines.  Areas of study include exploring and organizing data; the normal distributions, data relationships, non-linear relationships, correlation and regression, samples and experiments; probability and inference.  Any student who is planning a career in the social science, education, criminal justice, or political science fields should take this course.  Every effort is made to accommodate various learning styles.

                               

155      AP Statistics                                                                               

Prerequisite:  In order to qualify for admission into AP Statistics, the student must earn a grade of B+ or better in Statistics Academic and have a teacher recommendation from his/her statistics teacher.

 

This course is a continuation of the Statistics Academic course but at an advanced level in accordance with the College Board requirements.  Students may elect the Advanced Placement course for which, upon successful completion of a national exam, the college a student attends may waive a freshman requirement.  Contingent upon enrollment, this course will be offered for the first time in the 2007-2008 school year.

 

Calculus

 

142      Advanced Placement Calculus                            10 Credits

Prerequisite: In order to qualify for admission into AP Calculus, the student must earn a grade of B+ or better in Honors Algebra III and have a teacher recommendation from his/her Algebra III teacher.  Students may elect the Advanced Placement Course for which, upon successful completion of a national exam, the college a student attends may waive a freshman requirement.  The AP course meets daily throughout the school year.

 

145      Calculus and Analytic Geometry                         5 Credits

Prerequisite:  Successful completion of a third-year algebra course earning a C or better.

 

The major purpose of the Calculus course is to acquaint these students with formulas and procedures needed in their college mathematics and science courses. This course is divided into two major parts, differential calculus and integral calculus.  Differential calculus is the branch of calculus that deals with rate at which a variable quantity is changing and helps us find, for example, velocity and acceleration.  Integral calculus is the branch of calculus that deals with finding a function when the rate of change is given and will give us, for example, lengths, areas and volumes.  The course integrates technology as a problem-solving tool and makes connections across mathematical disciplines.  Any student who is planning a career in the medical, scientific, engineering, or business filed should take this course.  Every effort is made to accommodate various learning styles.

 

Computer Programming        

141              Introduction to Computer Programming            5 Credits

Prerequisite:  C or better in Algebra I and/or permission of the mathematics supervisor

 

This is a semester course intended for the college bound student to develop programming skills in Pascal.  It is designed to introduce the student to the structure of programming emphasizing the five-step process to problem solving, creating flowcharts, and writing algorithms.  This will be accomplished through the language of Pascal.  Emphasis will be placed on the exploration of simple data structures. Every effort is made to accommodate various learning styles.

 

143       Computer Programming II                5 Credits

Prerequisite:  C or better in Computer Programming I and/or permission of the math supervisor.

 

This is a one semester course designed to be a continuation of Computer Programming I.  It is intended for college bound students to extend programming skills in Pascal and develop new skills in C++.  Emphasis will be placed on the further exploration of Pascal data structures as well as advanced structures such as sorting and searching, files, pointer variables, linked lists, stacks, queues, and trees.  Also, the basics of the C++ programming language will be explored.  In addition, comparisons will be made between C++ and Pascal.  Every effort is made to accommodate various learning styles.

 

148      Advanced Placement Programming                     10 Credits

Prerequisite:  C or better in Programming II and/or permission of the mathematics supervisor

 

This is a full year course designed to be a continuation of Computer Programming II.  It is intended for the college bound student to further develop programming skills in JAVA.  Emphasis will be placed on the further exploration of simple JAVA data structures as well as advanced structures such as sorting and searching, files, pointer variables, linked lists, stacks, queues, and trees.  Upon completion of this course, a student may take the advanced placement test in JAVA and may receive college credit from a participating college.

Independent Study in Computer Programming            5 Credits

Prerequisite:  the student must earn a B or better in Computer Programming II and/or Advanced Placement Programming   and permission of the programming teacher.

 

This is a semester course designed for the college bound student to further develop programming skills in a variety of high-level languages such as C++, Java, Visual Basic, etc.  It is designed to extend and explore in more detail the data structures and problem-solving techniques introduced in Programming II and/or AP Programming.  Emphasis will be placed on comparing and contrasting different languages and advanced data structures.  Students will work independently on projects designed to further enhance their knowledge of programming and relate these skills to real world applications.


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