Mathematics

ALGEBRA I

Credits: 1 Credit

Course Number: HS4102

Honors Course Number: HS4205

Algebra 1 With Lab Course Number: HS4102 &  HS4104 (lab)

Algebra I focuses on how to solve problems with linear functions, expressions, and equations. Students will reinforce their skills in expressions and equations. Students will develop skills in writing, graphing, and solving linear equations, systems of equations, one- and two-variable statistics, and probability.  HS4102

Algebra I with Lab will be the same curriculum as Algebra 1 with built-in structured support. It will be a double-block class. HS4104 (lab)

Algebra I Honors will go more in depth on some topics, have a greater emphasis on applications, and be more rigorous in terms of work completion. HS4205

Prerequisite for all: Teacher Recommendation

HONORS GEOMETRY

1 CREDIT

Honors Course Number: HS4203

Honors Geometry will study basic geometric concepts and learn to apply geometric language and relationships. Topics will include angles, triangles, congruence, transformations, quadrilaterals, similarity, right triangle trigonometry, circles, measurement, constructions, coordinate geometry, and proofs.  At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion. This course can be taken concurrently with Algebra 2 at the honors level.

Prerequisite - Teacher Recommendation

HONORS ALGEBRA II

1 CREDIT

Honors 9th grade Course Number: HS4103

Honors Algebra II focuses on linear, quadratic, polynomial, exponential, radical and rational functions. Students will gain an understanding of techniques in solving equations both graphically and algebraically. Complex numbers and sequences and series will be introduced.  There will be a greater emphasis on applications, and be more rigorous in terms of work completion. A scientific calculator or graphing calculator is recommended.

This course can be taken concurrently with Geometry at the honors level.

Prerequisite: Teacher Recommendation

GEOMETRY

1 CREDIT

Course Number: HS4202

Honors Course Number: HS4203

Geometry students in this course will study basic geometric concepts and learn to apply geometric language and relationships. Topics will include angles, triangles, congruence, transformations, quadrilaterals, similarity, right triangle trigonometry, circles, measurement, constructions, coordinate geometry, and proofs.

 At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion. 

This course can be taken concurrently with Algebra 2 at the honors level.

Prerequisite - Algebra I

ALGEBRA II

1 CREDIT

Course Number: HS4301

Honors Course Number: HS4302

Algebra II focuses on linear, quadratic, polynomial, exponential, radical and rational functions. Students will gain an understanding of techniques in solving equations both graphically and algebraically. Complex numbers and sequences and series will be introduced.  

Honors Algebra II will go more in depth on some topics, have a greater emphasis on applications, and be more rigorous in terms of work completion. This course can be taken concurrently with Geometry at the honors level.

A scientific calculator is recommended at both levels. 

Prerequisite: Geometry

See the electives menu for additional options for 10th graders.

ALGEBRA II

1 CREDIT

Course Number: HS4301

Honors Course Number: HS4302

Prerequisite: Geometry

Algebra II focuses on linear, quadratic, polynomial, exponential, radical and rational functions. Students will gain an understanding of techniques in solving equations both graphically and algebraically. Complex numbers and sequences and series will be introduced.  

Honors Algebra II will go more in depth on some topics, have a greater emphasis on applications, and be more rigorous in terms of work completion. This course can be taken concurrently with Geometry at the honors level.

A scientific calculator is recommended at both levels. 

DISCRETE MATH: APPLICATIONS

1/2 CREDIT

Course Number: HS4518

Honors Course Number: HS4516

Prerequisite: Geometry

This course is based on modeling with mathematics and includes topics like elections and weighted voting, fair division, graph theory and optimization. Students use problem based learning using reasoning and modeling. These courses receive honors credit. At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion.

DISCRETE MATH: STRUCTURES

1/2 CREDIT

Course Number: HS4519

Honors Course Number: HS4517

Prerequisite: Geometry

Discrete math is useful in the study of computer science, computer algorithms, and programming. Topics studied will be number systems, cryptography, matrices and logic. Technology is used throughout the course. This course provides a good foundation for high level mathematics. This course receives honors credit. At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion.

FINANCIAL ALGEBRA

1/2 CREDIT

Course Number: HS4521

Prerequisite: Geometry

Financial Algebra aims to connect algebra with business and personal finance. Students will apply algebraic and graphical methods to analyze and solve practical financial problems. 

INTRODUCTION TO STATISTICS

1/2 CREDIT

Honors Course Number: HS4522

Prerequisite: Algebra II or Teacher Recommendation

This course will consist of the first half of a college level Statistics course.  Students will explore data analysis, experimental design and probability through real life applications and case studies. Students need to take Statistical Inference as well in order to receive one USM credit (MAT 120). 

STATISTICAL INFERENCE

1/2 CREDIT

Honors Course Number: HS4523

Prerequisite: Algebra II and Introduction to Statistics

This is a college level course that examines graphs, charts, distributions, regression, correlation, sampling, estimation, hypothesis testing, and includes a study of basic probability.  Students will have the opportunity to receive USM credit for one course (MAT 120) following the completion of both Introduction to Statistics and Statistical Inference.

PRECALCULUS 

1/2 CREDIT

Course Number: HS4500 

Honors: HS4501

Prerequisite: Algebra II 

Students will take an in depth look at topics from previous courses and make connections to calculus. Students will explore and extend knowledge of linear, quadratic, exponential, logarithmic, trigonometric and polynomial functions, including transformations, compositions, graphs, regression models and zeros. 

TRIGONOMETRY

1/2 CREDIT

Course Number: HS4501

Honors: HS4503

Prerequisite: Algebra II 

Students explore trigonometry and make connections between trigonometry and previous courses. Students will explore angles and how trigonometric functions are applied to the unit circle, apply trigonometric concepts to problems, explore the unique characteristics of the graphs of each trigonometric function, and recognize and apply trigonometric identities.

HONORS CALCULUS 

1 CREDIT

Honors Course Number:  HS4504

Prerequisite: Precalculus and Trigonometry

Calculus will cover the calculus of real variables, it will introduce the concept of a limit and apply it to the definition of a derivative in one variable. It will also cover the rules and properties  and applications of differentiation and integration. Students will have the opportunity to receive USM credit for one course (MAT 152).

For other math options see the AP menu to complete you math requirements or improve your math transcript.

DISCRETE MATH: APPLICATIONS

1/2 CREDIT

Course Number: HS4518

Honors Course Number: HS4516

Prerequisite: Geometry

This course is based on modeling with mathematics and includes topics like elections and weighted voting, fair division, graph theory and optimization. Students use problem based learning using reasoning and modeling. These courses receive honors credit. At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion.

DISCRETE MATH: STRUCTURES

1/2 CREDIT

Course Number: HS4519

Honors Course Number: HS4517

Prerequisite: Geometry

Discrete math is useful in the study of computer science, computer algorithms, and programming. Topics studied will be number systems, cryptography, matrices and logic. Technology is used throughout the course. This course provides a good foundation for high level mathematics. This course receives honors credit. At the honors level, this course will go more in depth on topics, have a greater emphasis on logical reasoning, and be more rigorous in terms of work completion.

FINANCIAL ALGEBRA

1/2 CREDIT

Course Number: HS4521

Prerequisite: Geometry

Financial Algebra aims to connect algebra with business and personal finance. Students will apply algebraic and graphical methods to analyze and solve practical financial problems. 

INTRODUCTION TO STATISTICS

1/2 CREDIT

Honors Course Number: HS4522

Prerequisite: Algebra II 

This course will consist of the first half of a college level Statistics course.  Students will explore data analysis, experimental design and probability through real life applications and case studies. Students need to take Statistical Inference as well in order to receive one USM credit (MAT 120). 

STATISTICAL INFERENCE

1/2 CREDIT

Honors Course Number: HS4523

Prerequisite: Introduction to Statistics

This is a college level course that examines graphs, charts, distributions, regression, correlation, sampling, estimation, hypothesis testing, and includes a study of basic probability.  Students will have the opportunity to receive USM credit for one course (MAT 120) following the completion of both Introduction to Statistics and Statistical Inference.

PRECALCULUS 

1/2 CREDIT

Course Number: HS4500 

Honors: HS4502

Prerequisite: Algebra II 

Students will take an in depth look at topics from previous courses and make connections to calculus. Students will explore and extend knowledge of linear, quadratic, exponential, logarithmic, trigonometric and polynomial functions, including transformations, compositions, graphs, regression models and zeros. 

TRIGONOMETRY

1/2 CREDIT

Course Number: HS4501

Honors: HS4503

Prerequisite: Algebra II 

Students explore trigonometry and make connections between trigonometry and previous courses. Students will explore angles and how trigonometric functions are applied to the unit circle, apply trigonometric concepts to problems, explore the unique characteristics of the graphs of each trigonometric function, and recognize and apply trigonometric identities.

HONORS CALCULUS 

1 CREDIT

Honors Course Number:  HS4504

Prerequisite: Precalculus and Trigonometry

Calculus will cover the calculus of real variables, it will introduce the concept of a limit and apply it to the definition of a derivative in one variable. It will also cover the rules and properties  and applications of differentiation and integration. Students will have the opportunity to receive USM credit for one course (MAT 152).

AP STATISTICS

1 credit

AP Course Number: HS4507

Prerequisite: Algebra II 

Students will study statistics in four parts: organizing data, producing data, probability, and inference. Students will use graphing calculators to study all topics. Students will have the opportunity to receive USM credit for one course (MAT 120).

AP CALCULUS

2 CREDITS

AP Course Number: HS4505

Prerequisite:  Honors Precalculus with Trigonometry

This course meets on both green and white days and covers all the material of both AP Calculus A/B and B/C. Students study the following topics: pre -calculus review, limits, derivatives and integrals with appropriate applications, the calculus of parametric and polar equations, and infinite series. Students will have the opportunity to receive USM credit for two courses (MAT 152 and MAT 153).