2022-2023 Program of Studies

Algebra I Part 1

Full Year Course Number: 7242

Algebra I Part 1 is designed to address level seven, level eight, and algebra I Common Core Standards that have been shown to increase successful completion of High School Algebra I . The skills acquired in this course will prepare students to be proficient in High School Algebra I courses and beyond. Topics covered in the course include operations with rational numbers, awareness of number sense, working with linear functions, and solving linear equations.

Algebra I Part 2

Full Year Course Number: 7232

Algebra I Part 2 is designed to address some level seven, level eight, and all Algebra I Common Core Standards to be covered over 2 years (Part 1 and Part 2). The skills acquired in this course will help strengthen fundamental math skills and prepare students to be proficient in their subsequent math courses.

Algebra I

Full Year Course Number: 2131

Grade: 9, 10

Students will be introduced to the structure of the real number system. Students will study linear functions, equations both equality and inequality, graphing, systems of equations, powers, roots, polynomials, and probability and statistics. This course will prepare students for all subsequent math courses.

Honors Algebra I*

Full Year Course Number: 2203

Grade: 9

Students will be introduced to the structure of the real number system. Students will study linear and nonlinear functions, equations both equality and inequality, graphing, systems of equations, powers, roots, polynomials, and factoring. This course will prepare students for all subsequent honors level math courses, and will move at a faster pace with more depth compared to Algebra 9.

*Prerequisite: Teacher recommendation

Geometry

Full Year Course Number: 2104

Grade: 9, 10, 11

Geometry is the study of shapes and relationships. This course is designed to prepare students for higher level mathematics courses and usage in daily life. Students will learn vocabulary of geometry, coordinate geometry, properties of triangles, quadrilaterals, circles, and polygons, similarity and proportions, and trigonometry.

Prerequisite: Algebra I

Honors Geometry*

Full Year Course Number: 2090

Grade: 9, 10

Geometry is the study of shapes and relationships. Students will learn vocabulary of geometry, coordinate geometry, proofs, properties of triangles, quadrilaterals, circles, and polygons, similarity and proportions, and trigonometry. This course is designed to dive deeper into geometric understanding, including proof and preparing students for Honors and IB courses.

*Prerequisite: Algebra 1 and math teacher recommendation

Honors Algebra 2 (dual enrollment)*

Full Year Course Number: 2100

Grade: 10, 11

This course emphasizes critical thinking skills and varied approaches to problem solving. Students will explore linear, quadratic, absolute value, step, polynomial, exponential, and logarithmic functions. Further, the concepts of graphing complex numbers, systems, and inequalities will be developed. Additional topics at the honors level that will be addressed include rational functions, conics, and the binomial theorem.

*Prerequisite: Honors Algebra I & Honors Geometry

College Prep Algebra 2

Full Year Course Number: 1237

Grade: 10, 11, 12

This course emphasizes critical thinking skills and varied approaches to problem solving. Students will explore linear, quadratic, polynomial, exponential and logarithmic functions. Further, the concepts of graphing, complex numbers, systems of equations, and inequalities will be developed.

*Prerequisite: Algebra I & Geometry

College Prep PreCalculus*

Full Year Course Number:

Grades: 11, 12

This course emphasizes critical thinking skills and varied approaches to problem solving. Students will explore linear, quadratic, polynomial, exponential and logarithmic functions. Further, the concepts of graphing, complex numbers, systems of equations, and inequalities will be developed.

*Prerequisite: College Prep Algebra II

Trades Math

Full Year Course Number: 7228

Grades: 11, 12

In this course, students will learn mathematics relevant to the trades. The course content includes proportions, percentages, measurement, algebra, geometry, trigonometry, and statistics. An emphasis is placed on practical, contextual applications for the trades.

Advanced Statistics and Probability (dual enrollment)*

Full Year Course Number: 2150

Grade: 11, 12

Advanced Statistics and Probability provides an advanced study of statistics and probability that is equivalent to college level statistics. Students can take this course as a dual enrollment opportunity to earn 4 college credits through the University of Southern Maine for a small fee. At least one college level statistics class is required for most college majors. Topics include data gathering, random variables and their distributions, display, methods of descriptive statistics, probability, confidence intervals, estimation and hypothesis testing, confidence testing, regression, and correlation, and statistical analysis.

*Prerequisite: Algebra 1, Geometry, Algebra 2, Instructor approval

Topics of Advanced Math

Full Year Course Number: 9707

Grade: 12 ONLY

Senior Topics will be offered both semesters and can be taken semester 1 or semester 2 for half a credit or for the whole year for one credit. This course is intended for college-bound seniors who passed algebra 2, but are not ready for upper-level mathematics. Topics will include arithmetic review, ratios and proportions, solving linear equations and inequalities, graphing and writing linear equations.

*Prerequisites: Algebra 1, Geometry, Algebra 2, and a Senior

International Baccalaureate

Grades: 11 & 12

IB Math Applications & Interpretation 1 SL*

Full Year Course Number: 1029

Grade: 11

Applications and interpretation is and advanced math class for students who are interested in developing their mathematics for describing our world, modeling and solving practical problems using technology. Students who take Mathematics: Applications and interpretation will be those who enjoy mathematics best when seen in a practical context. Topics include Sequences and series, linear and quadratic functions, rational functions, differentiation, univariate analysis, bivariate analysis, probability, exponents and logarithms, integration, geometry and trigonometry in 2D and 3D, trigonometric functions, calculus with trigonometric functions, probability distributions

IB Math Applications and Interpretation (A&I) 1 is offered at two levels, SL and HL. However, both courses are taught concurrently.

*Prerequisites: Honors Geometry & Math teacher recommendation

IB Math Applications & Interpretation 1 HL*

Full Year Course Number: 1238

Grade: 11

Applications and interpretation is and advanced math class for students who are interested in developing their mathematics for describing our world, modeling and solving practical problems using technology. Students who take Mathematics: Applications and interpretation will be those who enjoy mathematics best when seen in a practical context. Topics include Sequences and series, linear and quadratic functions, rational functions, differentiation, univariate analysis, bivariate analysis, probability, exponents and logarithms, integration, geometry and trigonometry in 2D and 3D, trigonometric functions, calculus with trigonometric functions, probability distributions

IB Math Applications and Interpretation (A&I) 1 is offered at two levels, SL and HL. However, both courses are taught concurrently.

*Prerequisites: Honors Algebra II & Math teacher recommendation

IB Math Applications & Interpretation 2 SL*

Full Year Course Number: 1228

Grade: 12

IB Mathematics Applications and Interpretation is and advanced math class for students who are interested in developing their mathematics for describing our world, modeling and solving practical problems using technology. Students who take Mathematics: Applications and Interpretation will be those who enjoy mathematics best when seen in a practical context. Topics include Sequences and series, linear and quadratic functions, rational functions, differentiation, univariate analysis, bivariate analysis, probability, exponents and logarithms, integration, geometry and trigonometry in 2D and 3D, trigonometric functions, calculus with trigonometric functions, probability distributions

IB Math Applications and Interpretation (A&I) 2 is offered at two levels, SL and HL. However, both courses are taught concurrently.

*Prerequisite: IB Math A&I SL 1, IB Math A&I HL 1. Or with teacher approval: IB Math A&A SL 1, IB Math A&A HL 1.

IB Math Applications & Interpretation 2 HL*

Full Year Course Number: 1069

Grade: 12

IB Mathematics Applications and Interpretation is and advanced math class for students who are interested in developing their mathematics for describing our world, modeling and solving practical problems using technology. Students who take Mathematics: Applications and Interpretation will be those who enjoy mathematics best when seen in a practical context. Topics include Sequences and series, linear and quadratic functions, rational functions, differentiation, univariate analysis, bivariate analysis, probability, exponents and logarithms, integration, geometry and trigonometry in 2D and 3D, trigonometric functions, calculus with trigonometric functions, probability distributions

IB Math Applications and Interpretation (A&I) 2 is offered at two levels, SL and HL. The courses are taught concurrently with content and assessments differentiated within the classroom.

*Prerequisite: IB Math A&I HL 1. Or with teacher approval: IB Math A&I SL 1, Math A&A SL 1, or Math A&A HL 1.

IB Math Analysis and Approaches 1 SL & HL*

Full Year Course Number: 1028 (SL) & 1049 (HL)

Grade: 11

IB Mathematics Analysis and Approaches is designed for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. They will explore real and abstract applications, sometimes with technology, and will enjoy the thrill of mathematical problem solving and generalization.

Math Analysis & Approaches is for students pursuing paths where math is the focus (mathematics, economics, physics). Topics include, sequences and series, linear, quadratics, exponential, cubic, sinusoidal, and logarithmic functions, geometry and trigonometry, statistics and probability, and calculus.

*Prerequisite: Honors Algebra II & Math teacher recommendation

IB Math Analysis and Approaches 2 SL*

Full Year Course Number: 1229 (SL)

Grade: 12

Mathematics: Analysis and Approaches is designed for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. They will explore real and abstract applications, sometimes with technology, and will enjoy the thrill of mathematical problem solving and generalization.

Math Analysis & Approaches is for students pursuing paths where math is the focus (mathematics, economics, physics). Topics include, sequences and series, linear, quadratics, exponential, cubic, sinusoidal, and logarithmic functions, geometry and trigonometry, statistics and probability, and calculus.

*Prerequisite: IB Mathematics A&A 1 SL , IB Mathematics A&A 1 HL. Or with teacher approval: IB Mathematics A&I 1 SL, IB Mathematics A&I 1 HL.

IB Math Analysis and Approaches 2 HL*

Full Year Course Number: 1069

Grade: 12

Mathematics: Analysis and Approaches 2 HL is a highly advanced class designed for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. They will explore real and abstract applications, sometimes with technology, and will enjoy the thrill of mathematical problem solving and generalization.

Math Analysis & Approaches is for students pursuing career paths where math is the focus (mathematics, economics, physics). Topics include, sequences and series, linear, quadratics, exponential, cubic, sinusoidal, and logarithmic functions, geometry and trigonometry, statistics and probability, and calculus.

*Prerequisite: IB Mathematics A&A 1 HL. Or with teacher approval: IB Mathematics A&I 1 HL.