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 Program of Studies Full Document
Mathematics

Grade 9
Grade 10
Grade 11
Grade 12
Geometry H
Algebra II, H
Precalculus H
AP Calculus BC
Geometry w/ Proofs CP
Algebra II with A.R, CP
Precalculus CP
AP Calculus AB
Algebra & Geometry CP
Algebra II CP
Advanced Algebra & Trigonometry CP
Calculus H
AP Statistics
Intro to Calculus CP
Statistics & Financial Management CP
AP Statistics
The Mathematics Department at Norwell High School believes that all mathematically proficient students should develop an expertise in the following “Standards for Mathematical Practice.”
 Make sense of problems and persevere in solving them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the reasoning of others.
 Model with Mathematics.
 Use appropriate tools strategically.
 Attend to precision.
 Look for and make use of structure.
 Look for and express regularity in repeated reasoning.
In addition to these standards, we expect that all students should aim to be active and engaged learners. This type of learner comes to class every day prepared and ready to learn, participates in class, asks questions that clarify and further their comprehension of presented material, completes all class assignments, especially nightly homework, reviews on a regular basis, and responsibly makes up missed classwork.
Students enrolled in AP or Honors mathematics classes are expected to meet all of these standards in a fastpaced, challenging academic environment. These students should be highly capable and motivated students who possess disciplined work habits, independent study skills, and a mastery of prior math knowledge. In advanced mathematics classes students must be able to engage in challenging classwork and assessments, and are required to solve and analyze problems in a variety of ways and to communicate their reasoning numerically, analytically, and graphically.
The graphing calculator is required for all mathematics courses. Scholarships are available. Requests should be made to either math teachers, guidance counselors, or administrators.

Grade 9 Math Courses
Geometry, 5.00 cr.
310 – honors
The traditional topics of Euclidean Geometry are presented with a focus on students using a discovery method to investigate and make conjectures about geometric properties. Topics include inductive reasoning, parallel and perpendicular lines, constructions, congruence and similarity, triangles, transformations, polygons and circles, area and volume, right triangle trigonometry, proofs, and probability. There is emphasis on the student’s ability to “put it all together”  to complete an investigation, make a conjecture, prove the conjecture, apply the conjecture, and communicate their reasoning to others.
Geometry with Proofs, 5.00 cr.
312 – college prep
The traditional topics of Euclidean Geometry are presented with a focus on students using a discovery method to investigate and make conjectures about geometric properties. Topics include inductive reasoning, parallel and perpendicular lines, constructions, congruence and similarity, triangles, transformations, polygons and circles, area and volume, right triangle trigonometry, and proofs.
Algebra & Geometry
305 – college prep
Prerequisite: Grade 8 teacher recommendation.
This course is designed to enhance students’ algebra skills while learning the traditional concepts of Euclidean Geometry. Students will begin the year working with linear equations and inequalities and continue to build algebra skills while learning geometric concepts. Topics include inductive reasoning, segments and angles, parallel and perpendicular lines, linear functions, constructions, triangles, congruence and similarity, polygons and similarity, area and volume.

Grade 10 Math Course
Algebra II, Grades 10, 11, 12 5.00 cr.
320 – honors
This course reinforces and expands on the foundations of algebra learned in prior math courses. Students will engage in an extensive study of linear, quadratic, polynomial, rational, exponential, and logarithmic functions. Other topics include modeling with functions, linear systems, linear programming, quadratic relations, complex numbers, probability and statistics. Students will work in cooperative groups, complete individual and group projects, and make extensive use of the graphing calculator.
Algebra II with Abstract Reasoning, Grades 10, 11, 12 5.00 cr.
322 – college prep
This course reinforces and expands on the foundations of algebra learned in prior math courses. Students will engage in an extensive study of linear, quadratic, polynomial, exponential, and logarithmic functions. Other topics include modeling with functions, linear systems, linear programming, quadratic relations, complex numbers, probability and statistics, and sequences and series. Students will work in cooperative groups, complete individual and group projects, and make extensive use of the graphing calculator.
Algebra II, Grades 10, 11, 12 5.00 cr.
326 – college prep
This course builds on numerous concepts from the foundations of algebra taught in prior math courses. Topics include equations and inequalities, linear functions, systems of equations, quadratic equations, polynomial functions, radicals and exponents, complex numbers, probability and statistics, solid geometry, and sequences and series. Students will work in cooperative groups, do group and/or individual projects, have many longterm assignments, and make extensive use of the graphing calculator.

Grade 11 Math Courses
Precalculus, Grades 11, 12 5.00 cr.
330 – honors
Students will engage in the study of advanced algebra and trigonometry through a discovery and reasoning approach. Topics include functions and their graphs, exponential and logarithmic functions, right and oblique triangle trigonometry, trigonometric functions, modeling with sinusoids, trigonometric identities, vectors, the complex plane, and polar coordinates, conic sections, and sequences and series. Students will work in cooperative groups, regularly engage in mathematical discourse, and complete group and/or individual projects.
Precalculus, Grades 11, 12 5.00 cr.
332 – college prep
Students will engage in the study of advanced algebra and trigonometry and their practical applications. Topics include functions and their graphs, exponential and logarithmic functions, right and oblique triangle trigonometry, trigonometric functions, modeling with sinusoids, trigonometric identities, vectors, polar coordinates, and conic sections. Students will work in cooperative groups, regularly engage in mathematical discourse, and complete group and/or individual projects.
AP Statistics, Grades 11, 12 5.00 cr.
336
There is a college board exam fee associated with this course.
This course is designed to meet the Advanced Placement curriculum. Students will be prepared to take the AP exam and must do so in order to earn AP credit on their school transcript. Topics will include exploring and representing quantitative and categorical distributions, modeling with Normal distributions, describing bivariate data relationships with regression and correlation, designing observational studies and experiments, producing data through sampling and experiments, calculating experimental and theoretical probabilities, including binomial and geometric distributions, combining and defining random variables, and using inference methods. Inference methods include significance tests and confidence intervals for one and twosample problems, chisquare tests, and slope regression. A review for the AP exam is included prior to the exam. Students will work in cooperative groups and make extensive use of the graphing calculator. Juniors must be currently enrolled in Honors PreCalculus in order to enroll into AP Statistics.
Advanced Algebra/Trigonometry, Grades 11, 12 5.00 cr.
334 – college prep
This course will build on advanced algebraic topics including solving equations, sequences and series and graphing functions. Inverse, exponential and logarithmic functions will be discussed using their graphs and the domain and range. Trigonometric functions and their applications will be studied during the second semester. Trigonometric topics will include solving right triangles, circular functions, graphing, identities and solving trigonometric equations. This course will also provide students with practice for the math section of the SAT.
Algebra II, Grades 10, 11, 12 5.00 cr.
320 – honors
This course reinforces and expands on the foundations of algebra learned in prior math courses. Students will engage in an extensive study of linear, quadratic, polynomial, rational, exponential, and logarithmic functions. Other topics include modeling with functions, linear systems, linear programming, quadratic relations, complex numbers, probability and statistics. Students will work in cooperative groups, complete individual and group projects, and make extensive use of the graphing calculator.
Algebra II with Abstract Reasoning, Grades 10, 11, 12 5.00 cr.
322 – college prep
This course reinforces and expands on the foundations of algebra learned in prior math courses. Students will engage in an extensive study of linear, quadratic, polynomial, exponential, and logarithmic functions. Other topics include modeling with functions, linear systems, linear programming, quadratic relations, complex numbers, probability and statistics, and sequences and series. Students will work in cooperative groups, complete individual and group projects, and make extensive use of the graphing calculator.
Algebra II, Grades 10, 11, 12 5.00 cr.
326 – college prep
This course builds on numerous concepts from the foundations of algebra taught in prior math courses. Topics include equations and inequalities, linear functions, systems of equations, quadratic equations, polynomial functions, radicals and exponents, complex numbers, probability and statistics, solid geometry, and sequences and series. Students will work in cooperative groups, do group and/or individual projects, have many longterm assignments, and make extensive use of the graphing calculator.

Grade 12 Math Courses

AP Calculus AB, Grade 12 5.00 cr.
345
There is a college board exam fee associated with this course.
This course is designed to meet the Advanced Placement Calculus AB curriculum. Students will be prepared to take the AP exam and must do so in order to earn AP credit on their school transcript. Topics will include limits, continuity, the first and second derivative and their applications, end behavior and indeterminate forms, basic methods of integration and their applications, numerical analysis, differential equations, and a review for the AP exam. The AB curriculum is approximately equivalent to 1  1.5 semesters of collegelevel calculus.
AP Calculus BC, Grade 12 5.00 cr.
346
There is a college board exam fee associated with this course.
This course is designed to meet the Advanced Placement Calculus BC curriculum. Students will be prepared to take the AP exam and must do so in order to earn AP credit on their school transcript. Topics will include parametric equations, limits and continuity, the first and second derivative and their applications including with polar and parametric curves, end behavior and indeterminate forms, basic and advanced methods of integration, improper integrals, applications of integration, numerical analysis, differential equations, sequences and series, and a review for the AP exam. The BC curriculum is approximately equivalent to two semesters of collegelevel calculus. Students will work in cooperative groups make extensive use of the graphing calculator.
Calculus, Grade 12 5.00 cr.
340 – honors
This course will cover most of the same topics that are covered in the AP Calculus AB course. Depth and pace will be different from that of the AP course. Topics will include limits, continuity, the first and second derivative and their applications, end behavior and indeterminate forms, basic methods of integration and some applications, numerical analysis, and differential equations.
Introduction to Calculus, Grade 12 5.00 cr.
344 – college prep
This course is designed to reinforce algebra skills and introduce students to some of the foundations of calculus. Topics covered include a review of linear and polynomial functions, limits and continuity, derivatives, and derivative applications. The indefinite integral may be introduced if time allows. There is an emphasis on relating previously learned math skills to calculus concepts.
AP Statistics, Grades 11, 12 5.00 cr.
336
There is a college board exam fee associated with this course.
This course is designed to meet the Advanced Placement curriculum. Students will be prepared to take the AP exam and must do so in order to earn AP credit on their school transcript. Topics will include exploring and representing quantitative and categorical distributions, modeling with Normal distributions, describing bivariate data relationships with regression and correlation, designing observational studies and experiments, producing data through sampling and experiments, calculating experimental and theoretical probabilities, including binomial and geometric distributions, combining and defining random variables, and using inference methods. Inference methods include significance tests and confidence intervals for one and twosample problems, chisquare tests, and slope regression. A review for the AP exam is included prior to the exam. Students will work in cooperative groups and make extensive use of the graphing calculator. Juniors must be currently enrolled in Honors PreCalculus in order to enroll into AP Statistics.
Statistics and Financial Management, Grade12 5.00 cr.
337  college prep
This course will use practical data to teach students the importance of statistics and financial literacy. The class will cover an introduction to statistics helping students gain a better understanding of the collection, organization, analysis, and interpretation of numerical data. Statistic topics will include frequency distributions, measures of central tendency, variability, probability, and binomial and normal distributions. Students will then transition to the study of financial management. Through the use of case studies, students will develop and understanding of banking, loans, and credit. Financial management topics will include budgeting/banking, taxes, insurance, credit, interest, and the Stock Market.
