2023-2024 Program of Studies

Topics in Algebra I Year I* Grade 9

Full Year Course Number: 7781

Topics in Algebra I Year 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.

*Prerequisite: Teacher recommendation

Topics of Algebra I Year II* Grade 10

Full Year Course Number: 7782

Topics of Algebra I Year 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). This course covers the second semester of algebra 1 over the course of an entire school year. The skills acquired in this course will help strengthen fundamental math skills and prepare students to be proficient in their subsequent math courses. Topics covered include linear graphing, writing equations, systems of equations, exponents, and polynomials.

*Prerequisite: Teacher recommendation

College Prep Algebra I Grades: 9, 10

Full Year Course Number: 7784

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* Grade 9

Full Year Course Number: 9710

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 College Prep Algebra I.

*Prerequisite: Teacher recommendation

College Prep Geometry* Grades: 10, 11

Full Year Course Number: 7787

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

Topics of Geometry* Grades: 11, 12

Full Year Course Number: 7786

Geometry is the study of shapes and relationships. This course is designed to give students an overview of the basics of geometry for usage in daily life. Students will learn vocabulary of geometry, properties of triangles, quadrilaterals, circles, and polygons, similarity and proportions, and basics of trigonometry. The focus will be on real world applications and hands-on learning.

*Prerequisites: Topics of Algebra 1 Yr I, Topics of Algebra 1 Yr II, or teacher recommendation

Honors Geometry* Grades: 9, 10

Full Year Course Number: 2090

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.

*Prerequisites: Honors Algebra 1 and math teacher recommendation

Topics of Algebra II* Grades: 11, 12

Full Year Course Number: 7788

This introductory course to algebra 2 emphasizes critical thinking skills and varied approaches to problem solving. Students will continue to develop their algebraic thinking with linear equations and inequalities, explore linear and quadratic functions, and explore real world applications of Algebra 2.

*Prerequisites: Algebra 1 and Geometry, Teacher recommendation

College Prep Algebra II Grades: 10, 11, 12

Full Year Course Number: 1237

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.

Honors Algebra II* Grades: 10, 11, 12

(dual enrollment)

Full Year Course Number: 2100

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.

*Prerequisites: Honors Algebra 1 & Honors Geometry

Honors PreCalculus* Grades: 11, 12

Full Year Course Number: 2110

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

Senior Topics of Advanced Math* Grade 12

Full Year Course Number: 7789

This course is intended for college-bound seniors who passed College Prep 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, matrices, sequences and series, complex numbers, review of statistics, and equations of circles.

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

Advanced Statistics and Probability * Grades: 11, 12

(dual enrollment)

Full Year Course Number: 2150

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.

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

MAT 112 Quantitative Reasoning* Grades: 11, 12

(dual enrollment)

Full Year Course Number: 7794

This course explores connections between mathematics and various facets of modern life. Quantitative reasoning enables both understanding and decision-making about aspects of work, money management, civic participation, and recreation. Topics in this course include unit analysis, percentages, personal finance, statistics, probability, linear and exponential growth, mathematical modeling, and geometry.

*Prerequisites: Algebra I and Geometry

Personal Finance* Grades: 10, 11, 12

Semester Course Number: 4117

*This course satisfies the graduation requirement for 1 semester of personal finance. The curriculum follows Next Gen Personal Finance and covers budgeting, banking, investing, types of credit, paying for college, and taxes.

International Baccalaureate

Grades: 11 & 12

IB Math Applications & Interpretation 1 SL* Grade 11

Full Year Course Number: 1028

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* Grade 11

Full Year Course Number: 1238

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 2 SL* Grade 12

Full Year Course Number: 1228

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.

*Prerequisites: 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* Grade 12

Full Year Course Number: 1248

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.

*Prerequisites: 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 Analysis and Approaches 1 SL & HL* Grade 11

Full Year Course Number: 1029 (SL) & 1049 (HL)

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.

*Prerequisites: Honors Algebra 2 & Math teacher recommendation

IB Analysis and Approaches 2 SL* Grade 12

Full Year Course Number: 1229 (SL)

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.

*Prerequisites: 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 Analysis and Approaches 2 HL* Grade 12

Full Year Course Number: 1069

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.

*Prerequisites: IB Mathematics A&A 1 HL or with teacher approval: IB Mathematics A&I 1 HL.