# Math

## algebra

### ALGEBRA I

1 CREDIT

Credit Area: Math

Course Number: 2003

with Lab: 2002

Course’s essential questions or focus: How can I use new algebraic models and methods to think about problems and solve them?

This course will explore how to solve a vast number of problems and analyze different situations. Algebra 1 focuses on how to solve problems with linear functions, expressions, and equations. By simplifying, manipulating, and solving equations students will see how patterns occur in all types of real-world applications. Algebra 1 students will also start to explore the relationship of variables and unknown values when no longer linear, but exponential and quadratic.

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

Grades 9, 10, 11, 12

### ALGEBRA II

1 CREDIT

Credit Area: Math

Course Number: 2004

Honors: 2005

Course’s essential questions or focus: How can I use new advanced algebraic models and methods to think about problems and solve them?

Students will learn the use of algebraic expressions and sentences to model real-world situations. The course includes work in linear, quadratic, exponential, logarithmic, trigonometric, and polynomial functions as well as matrices.

The honors class covers more material in greater depth and at a faster pace than the academic Algebra II course.

A scientific calculator is recommended.

Prerequisite: Successful completion of Geometry or teacher permission

Honors: Teacher Recommendation

Grades 9, 10, 11, 12

### COLLEGE ALGEBRA

1 CREDIT

Credit Area: Math

Course Number: 2028

Course’s essential questions or focus: How can I apply skills from previous math courses to solve everyday problems?

The course is a dual-enrollment course with Thomas College (Course MS 197 – College Algebra). It is designed for seniors who want/need to be better prepared for required math courses at colleges and community colleges. This course will place a focus on traditional problem-solving methods in mathematics. Students will be asked to solve problems modeled by various functions including linear, quadratic, absolute value, polynomial, exponential, and logarithmic. Attention will be paid, throughout this course, to real-world applications from a broad range of disciplines such as the physical sciences and engineering, business, economics, social sciences, life sciences, health sciences, sports, and other areas of student interest. A scientific calculator is required.

Prerequisite: Successful completion of Algebra II

Grades 11, 12

### ALGEBRA FOR THE TRADES

1 CREDIT

Credit Area: Math

Course Number: 2018

Course’s essential questions or focus:

In this course students learn mathematics relevant to a variety of technical and vocational disciplines. The course content includes proportions, percentages, measurement, algebra, geometry, trigonometry and statistics. Students will engage in problem solving tasks that require group and individual learning. This course is intended for senior level students. Attention will be paid, throughout this course to real-world applications from a broad range of disciplines such as building and engineering, transportation, business, social sciences, life sciences, health sciences, sports, and other areas of student interest.

Prerequisite: Successful completion of Algebra I and Geometry.

Grade 12

## calculus

### AP CALCULUS AB

1 CREDIT

Credit Area: Math

Course Number: 2008

Course’s essential questions or focus: How does all the math I have ever learned relate to each other?

The course will examine the characteristics of algebraic, trigonometric, transcendental, and hyperbolic functions. Applications of the derivative and the definite integral will be used to solve problems of motion and change. The textbook used will closely follow the recommendations of the committee of Mathematics of the Advanced Placement Program and the University of Southern Maine Calculus program. As long as the Project Aspire Calculus program continues with USM, students may choose to receive four college credits from USM for successful completion of this course. Not all colleges or universities accept credits from other institutions. Topics covered by this text meet the requirement set forth in the syllabus of the College Entrance Examination Board for the Advanced Placement Calculus AB examination. A TI-83+ graphing calculator is recommended. Students have the option of taking the AP exam or USM credit.

Prerequisite: B or higher in Pre-Calculus

Grade 11, 12

### PRE-CALCULUS

1 CREDIT

Credit Area: Math

Course Number: 2029

Honors: 2030

Course’s essential questions or focus: How can patterns and functions help us describe data and physical phenomena?

Pre-Calculus prepares students for Calculus, which is required for scientific professions such as engineering and computer science. Topics covered in this course are analysis of functions, notions of limits, analytic geometry, and trigonometry. An introduction to calculus and discrete mathematics is included in the course.

The honors course covers more topics often in greater depth than the academic Pre-Calculus course. The pace of this course is faster than a Pre-Calculus course.

A graphing calculator is recommended (TI-83, TI-83+ or TI-84 suggested).

Prerequisite: Successful completion of Algebra II and teacher recommendation

Grades 10, 11, 12

## geometry

1 CREDIT

Credit Area: Math

Course Number: 2022

Honors: 2023

Course’s essential questions or focus:

This course covers basic Euclidean Geometry. It extends students' knowledge of algebra to formulate and solve equations from geometric situations. Topics in Geometry include transformations, angles, similarity, circles, congruence, polygons, and trigonometry. A scientific calculator is recommended. The honors course for Geometry will dive deeper into content as well as have a faster-paced classroom environment.

Prerequisite: Successful completion of Algebra I

Honors: Teacher Recommendation

Grades 9, 10, 11, 12

## resource math

1 CREDIT

Credit Area: Math

Course Number: 2503

Course’s essential questions or focus: Individualized math instruction

Resource Math is a special education class for learning math skills in a small group setting. Specially designed instruction is delivered based on students’ learning styles and needs using an evidence-based curriculum.

Prerequisite: Enrollment in this course is determined by a student’s IEP Team.

Grades 9, 10, 11, 12

## statistics

### AP STATISTICS

1 CREDIT

Credit Area: Math

Course Number: 2038

Course’s essential questions or focus: How can I use math to make reasonable and informed decisions and predictions?

AP Statistics is offered as an advanced course in mathematics for students who plan to study social sciences in college. Most of these majors require a statistics course. This course will examine data collection, data analysis, probability and statistical inference. Students will use graphs and numerical summaries to study and analyze data and study proper methods for data collection. Probability topics include chance, variation, counting, and risk. Also, different methods of statistical inference will be studied. With this course, students have the option of taking the AP exam or applying for USM credit. Topics covered in this course meet the requirements set forth in the syllabus of the College Entrance Examination Board for the Advanced Placement Statistics Examination. A TI-83+ or TI-84 graphing calculator is recommended. Students must complete summer work; see the teacher in the spring for details.

Prerequisite: B or higher in Algebra II. May be taken concurrently with Pre-Calculus or AP Calculus.

Grades 10, 11, 12

### STATISTICS & PROBABILITY

1 CREDIT

Credit Area: Math

Course Number: 2049

Course’s essential questions or focus: How can I use math to make reasonable and informed decisions and predictions?

Statistics is offered as a course in mathematics for students who plan to study social sciences or related fields in a two or four-year college program. Many of these majors require a statistics course and this course will prepare students for college-level study. This course will examine data collection, data analysis, probability, and statistical inference. Students will use graphs and numerical summaries to study and analyze data and study proper methods for data collection and reporting. Probability topics include chance, variation, counting methods, and risk. This course will involve multiple projects, using an e-text, and completing problem sets. A TI-83+ or TI-84 graphing calculator is recommended.

Prerequisite: Successful completion of Algebra II. May be taken concurrently with Pre-Calculus.

Grades 10, 11, 12