# Math

It is the intent of the Mathematics Department of Tourtellotte Senior High School to provide a guaranteed and viable curriculum for all students.

Our curriculum provides instruction for topics in number and operations, algebra, geometry and measurement as well as functions and statistics. All courses incorporate the use of technology, real-world applications and problem solving. Students are required to complete four years of mathematics while at Tourtelotte High School.

**Teacher Pages**

**PRE-ALGEBRA **

COURSE NUMBER: 1100

Academic Grade 9

Full Year 1 Credit

This course will cover a broad range of mathematical topics that include linear equations, proportions, probability, geometry, and an introduction into polynomials. Completion of this course will provide students with the tools necessary to allow them to progress to Algebra I and Geometry.

Prerequisites: Recommendation of Grade 8 math teacher

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 5: C. Personal Responsibility
- Expectation 3: Information, Media, and Technology Skills

**HONORS ALGEBRA***

COURSE NUMBER: 1102

Honors Grade 9

Full Year 1 Credit

Students will learn the concepts of mathematical structure and work to develop the skills required in solving algebraic equations and transforming algebraic expressions in various ways. Students will analyze and apply different equations and formulas to help understand the mathematical structures of Algebra. Students will be working with analyzing, creating, and graphing linear equations. Students will manipulate algebraic equations and expressions and have opportunities to use technology to enhance student learning. Students will multiply and divide expressions with exponents, use scientific notation, and use exponential growth and decay models. Students will also learn how to evaluate and approximate square roots, simplify radicals, solve a quadratic equation, and sketch the graph of a quadratic function and quadratic inequality. The students will utilize concepts in real-world problems and create their own tools to solve these types of problems. Students will use real-world digital and other research tools to access, evaluate, and effectively apply information appropriate for mathematical tasks.

Prerequisite: Successful completion of Pre-Algebra. Recommendation of Grade 8 math teacher

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 2: Communication A: Interactive Communication
- Expectation 3: Information, Media, and Technology Skills

**ALGEBRA** I*

COURSE NUMBER: 1101

Academic Grades 9-10

Full Year 1 Credit

Students will learn the concepts of mathematical structure and work to develop the skills required in solving algebraic equations and transforming algebraic expressions in various ways. Students will analyze and apply different equations and formulas to help understand the mathematical structures of Algebra. Students will be working with analyzing, creating, and graphing linear equations. Students will manipulate algebraic equations and expressions and have opportunities to use technology to enhance student learning. Students will utilize concepts in real-world problems and create their own tools to solve these types of problems. Students will use real-world digital and other research tools to access, evaluate, and effectively apply information appropriate for mathematical tasks.

Prerequisite: Successful completion of Pre-Algebra or recommendation of Grade 8 math teacher

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 2: Communication A: Interactive Communication
- Expectation 3: Information, Media, and Technology Skills

**ALGEBRA II***

COURSE NUMBER: 1103

Academic Grades 9-12

Full Year 1 Credit

Students will review and expand Algebra I and Geometry topics, strengthening algebraic skills with emphasis on mathematical techniques applied to problem solving abilities by learning problem solving strategies, logical reasoning skills, and modeling methods. Also students will learn advanced algebra topics in preparation for an advanced math course. Students will use real-world digital and other research tools to access, evaluate, communicate, and effectively apply information appropriate for mathematical tasks.

Prerequisite: Successful completion of Algebra I

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 3: Information, Media, and Technology Skills
- Expectation 2: Communication: A. Interactive Communication

**HONORS ALGEBRA II***

COURSE NUMBER: 1104

Honors Grades 9-12

Full Year 1 Credit

Students will review and expand Algebra I and Geometry topics, and strengthen algebraic skills with emphasis on mathematical techniques applied to problem solving abilities by learning problem solving strategies, logical reasoning skills, and modeling methods. Also students will learn advanced algebra topics in preparation for an advanced math course. Students will use real-world digital and other research tools to access, evaluate, communicate, and effectively apply information appropriate for mathematical tasks. Students will demonstrate innovation, flexibility, and adaptability in thinking patterns, work habits, and mathematical conditions.

Prerequisite: 85 average in Algebra I with math department approval or recommendation from eighth or ninth grade teacher

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 4: Innovative Thinking
- Expectation 3: Information, Media, and Technology Skills

**INTRODUCTION TO COMPUTER PROGRAMMING**

COURSE #: 1107

Academic Grades 9-12

Semester – II Only – .5 Credit

Students explore computer concepts, apply logic procedures, and implement programming procedures using the Java Programming language. Students will use these tools to develop their logical-thinking skills while designing small-scale computer programs. Course content includes program design and problem solving, control structures, functions, parameter passing, data structures, arrays, and file processing.

Prerequisites: 85 or higher in Algebra I or teacher recommendation

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 4: Innovative Thinking
- Expectation 3: Information, Media, and Technology Skills

**MATH INTERVENTION
**COURSE NUMBER: 1113

Academic Grades 9-12

Semester .5 Credit

Students will learn, review, and develop the computation and problem solving strategies used within all mathematics classes. It is intended for those students who need to receive extra help for mathematical concepts in the current mathematics class that he/she is enrolled in. This class will be taken in conjunction with the student’s core mathematics class. Students will demonstrate and value personal responsibility, character, and ethical behaviors to be successful in this course. Students are selected based on diagnostic test scores, referrals, and/or I.E.P recommendations.

This course cannot be used to fulfill the Math requirement for graduation.

School-wide Expectations:

- Expectation 5: C. Personal Responsibility
- Expectation 1: Problem Solving
- Expectation 3: Information, Media, and Technology Skills

**SAT PREPARATION: MATH **

COURSE NUMBER: 1108

Academic Grade 10-11

Semester – I (11th) or II (10th) .5 Credit

This course is designed to improve the SAT (or ACT) scores in Mathematics. Students will review algebra, geometry, trigonometry, and statistics skills and concepts. Students will develop an understanding of the topics on each test and how the tests are scored. Throughout the course, students will have multiple opportunities to practice mathematics problems in the format of the SAT (or ACT). This course will emphasize study habits and test-taking strategies. This is a semester elective math course.

Prerequisite: Algebra I, Algebra II, and enrolled in Geometry, Pre-Calculus or Advanced Math

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 5: C. Personal Responsibility
- Expectation 3: Information, Media, and Technology Skills

**GEOMETRY***

COURSE NUMBER: 1105

Academic Grades 10-12

Full Year 1 Credit

Students will learn the concepts of plane geometry that will develop their ability to make sound judgments about spatial relationships and to develop habits of logical thinking. An intuitive and discovery approach is utilized which simplifies the presentation and facilitates understanding of Euclidean geometry by having students be active participants in the course. Geometer’s Sketchpad is used to enhance the theoretical study of geometry. The standard content of Euclidean geometry is presented at a pace for the average student in geometry. Areas covered include points, lines, planes, angles, constructions, congruence, polygons, similarity, circles, area, perimeter, and volume, with a focus placed on creating proofs.

Prerequisite: Successful completion of Algebra II

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 3: Information, Media, and Technology Skills
- Expectation 2: Communication: C. Writing

**HONORS GEOMETRY***

COURSE NUMBER: 1106

Honors Grades 10 – 12

Full Year 1 Credit

Students will learn to make sound judgments about special relationships and to develop habits of logical thinking. An intuitive and discovery approach is utilized which simplifies the presentation and facilitates the understanding of basic Euclidean geometry by having students be active participants in the course. Geometer’s Sketchpad is used to enhance the theoretical study of geometry. The honors level of geometry is presented at a pace that challenges students to become strong problem solvers and critical thinkers. Areas covered included points, lines, planes, angles, proofs, constructions, congruencies, polygons, similarities, circles, areas, perimeters and volumes. Students will work independently and collaboratively to solve problems and accomplish goals. Students will communicate information clearly and effectively using a variety of tools/media in varied context for a variety of mathematical purposes.

Prerequisite: Successful completion of Honors Algebra II with a minimum grade of 80 or completion of Algebra II with a minimum grade of 90

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 4: Innovative Thinking
- Expectation 3: Information, Media, and Technology Skills

**CONSUMER MATH**

COURSE NUMBER: 1114

Academic Grades 10-12

Semester .5 Credit

This course uses simple operations and applies them to real-life situations. Students will apply practical solution to practical problems, which the student will probably encounter in his/her real world.

This course cannot be used to fulfill the Math requirement for graduation.

School-wide Expectations:

- Expectation 5: C. Personal Responsibility
- Expectation 1: Problem Solving
- Expectation 3: Information, Media, and Technology Skills

**ADVANCED MATH I***

COURSE NUMBER: 1109

Honors Grades 11-12

Full Year 1 Credit

Students will learn to use advanced algebraic topics, analytic geometry, functions, and trigonometry with its applications to the physical world. Extensive work is done on rectangular coordinate systems with emphasis on problem solving. Completion of this course will ensure a sound foundation in all aspects of college mathematics.

Students will communicate information clearly and effectively using a variety of tools/media in varied context for a variety of mathematical purposes.

Prerequisite: Geometry

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 2: Communication: A. Interactive Communication
- Expectation 3: Information, Media, and Technology Skills

**PRE-CALCULUS***

COURSE NUMBER: 1110

Honors Grades 11-12

Full Year 1 Credit

Students will learn to use advanced algebraic topics, analytic geometry, functions, and trigonometry with its applications to the physical world. Extensive work is done on rectangular coordinate systems with emphasis on problem solving. Students will communicate information clearly and effectively using a variety of tools/media in varied context for a variety of mathematical purposes. Students will demonstrate innovation, flexibility, and adaptability in thinking patterns, work habits, and mathematical conditions. Completion of this course will ensure a sound foundation in all aspects of pre-calculus mathematics and geared for the student who will advance into the AP Calculus program.

Prerequisite: Geometry with a minimum grade of 89 or math department approval

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 4: Innovative Thinking
- Expectation 3: Information, Media, and Technology Skills

**STATISTICS**

COURSE NUMBER: 1111

Academic Grades 11-12

Semester – Fall 1 Credit

Students will be able to implement fundamental statistical skills in the pursuit of knowledge in other subject areas. The major goals of the course are to have students become comfortable with using a spreadsheet (Excel) word processor (Word), and windows, and Geometer’s Sketchpad while studying probability and statistics. The problem solving and investigation components of this course are based upon the use of a graphing calculator with a table option. This course is a tool for acquiring and demonstrating knowledge. Limit to 20 students due to the constraints of the computer lab. Preference is given to seniors.

Prerequisite: Successful completion of Geometry and math department approval

School-wide Expectations:

Expectation 1: Problem Solving

Expectation 3: Information, Media, and Technology Skills

Expectation 2: Communication: A. Interactive Communication

**MANUFACTURING MATH**

COURSE NUMBER: 1118

Academic Grades 11-12

Semester II Only .5 HS Credit

3 College Credits

Students will further study arithmetic and trigonometric operations applied to manufacturing circumstances. The following geometric entities are studied in detail: the circle, regular and irregular polygons, the right triangle and oblique triangles. The application of angular arithmetic including the study of: angle decimal conversion, the Pythagorean Theorem, Sine, Cosine, and Tangent functions, and the Law of Sines and Law of Cosines will be covered in great detail.

This course is aligned with Manufacturing Math classes of the Advanced Manufacturing Technology Center at Quinebaug Valley Community College. TMHS students may qualify to earn 3.00 college credit in this class.

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 4: Innovative Thinking
- Expectation 3: Information, Media, and Technology Skills

**ADVANCED MICROSOFT EXCEL
**COURSE NUMBER: 1115

Academic Grades 11-12

Semester – I only .5 Credit

Students will work with Microsoft Excel on an advanced level. Students will explore mathematical, logical, text and financial functions. Students will design spreadsheets from a programming perspective and create actual “user applications.” The course will conclude with an exploration into Macro programming and Visual Basic for Applications (VBA).

Prerequisite: Computer Application Course, or a good working knowledge of Excel Spreadsheets.

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 3: Information, Media, and Technology Skills
- Expectation 4: Innovative Thinking

**AP CALCULUS AB***

COURSE NUMBER: 1112

AP Grade 12 Full Year 1 Credit

3 College Credits

This course is a rigorous and theoretical study of calculus. It follows the syllabus for the AP level of the advanced placement program. It is expected that all members of the class take the Advanced Placement exam in May. The problem solving and investigation components of this course are based upon the use of a graphing calculator with a table option. Regular and frequent access to a graphing calculator for class activities as well as homework is required. Students will demonstrate and value personal responsibility, character, and ethical behaviors to be successful in this college-level course.

School-wide Expectations:

- Expectation 1: Problem Solving
- Expectation 5: C. Personal Responsibility
- Expectation 3: Information, Media, and Technology Skills