# Mathematics

- Maintain high expectations
- Foster student engagement through a growth mindset
- Differentiate instruction through small groups, centers, and tiered activities
- Develop meaningful, stimulating, rich tasks
- Elicit and celebrate different approaches to problem solving
- Promote discourse to encourage discovery and convey understanding

We believe mathematics surpasses content and skills and serves as a conduit for the development of life-long, logical thinking pathways.

**417 Algebra 1 (Grade 9, 10, 11) Everyday Full Semester 1.00 Credit**

**403 Algebra 1 Additional Topics (Grade 10) Everyday other day Full Semester 0.50 Credit**

**416 Algebra 1 Honors (Grade 9, 10, 11, 12) Everyday Full Semester 1.00 Credit**

**427 Geometry (Grades 10, 11, 12) Everyday Full Semester 1.00 Credit**

**426 Geometry Honors (Grades 9, 10, 11, 12) Everyday Full Semester 1.00 Credit**

**451 Advanced Quantitative Reasoning (Grades 11, 12) Everyday Full Semester 1.00 Credit **

Course Sequence: Completion of Algebra 2.

AQR is an engaging and rigorous course for students of all levels/or with a variety of mathematical backgrounds that prepares students for a range of future options in non-mathematics-intensive college majors or for entering workforce training programs.

This integrated course emphasizes statistics, financial literacy and the application of previously learned skills to new real-life situations. The course prepares students to use algebra, geometry, trigonometry and discrete mathematics to model a range of situations and solve problems. AQR builds on, reinforces, and extends what students have learned and covers a wide range of mathematics topics in an effort to help students understand mathematics more deeply. The course offers student activities in a range of applied contexts and helps students develop college and career readiness skills.

**440 Algebra 2 Essentials(Grades 10 - 12) Everyday Both Semesters 2.00 Credits**

**433 Algebra 2 (Grades 10 - 12) Everyday Full Semester 1.00 Credit**

**431 Algebra 2 Honors (Grade 10 - 12) Everyday Full Semester 1.00 Credit**

Course Sequence: Completion of Algebra 1 Honors or Algebra 1 Additional Topics.

Students need to achieve a final grade of 80 or above in Algebra 1 Honors and receive a teacher recommendation for courses 431. Students need to successfully complete the Geometry course prior to entering any level Algebra 2 course.

Building on their work with linear, quadratic, and exponential functions from Algebra 1, students will extend their repertoire of functions to include logarithmic, polynomial, rational, trigonometric, and radical functions in the Algebra 2 course. Concepts covered in this course also include the complex number system, polynomials, rational expressions and equations, inequalities, and probability and statistics. The course will focus on four critical areas: (1) relate arithmetic of rational expressions to arithmetic of rational numbers; (2) expand understandings of functions and graphing to include trigonometric functions; (3) synthesize and generalize functions and extend understanding of exponential functions to logarithmic functions; and (4) express patterns as sequences and series and relate back to linear and exponential equations. Along with the four critical areas, the course will also incorporate the use of critical thinking, including repeated reasoning, and precise written and oral communication. Upon completion of the course students should be able to solve a variety of algebraic problems individually and collaboratively. The use of technology will be an integral part of this course and graphing calculators will be used frequently: A TI-83 or TI-84 graphing calculator is recommended.

**447 Precalculus Honors (Grades 11, 12) Everyday Full Semester 1.00**

**458 Probability and Statistics (Grades 11, 12) Everyday Full Semester 1.00 Credit**

**450 AP Probability and Statistics Everyday Full Semester 1.00 Credit**

This course is an elective for those students wishing to continue their study in mathematics. Many academic programs at the college level include Statistics as a requirement, and some knowledge of statistics is necessary to be an informed citizen. Students will be given the opportunity to explore major statistical and probabilistic concepts in order to make decisions and conclusions. Such topics include describing variation in data and investigating probability distributions, understanding patterns and uncertainty, and developing data-based predictions, decisions, and conclusions. Students will explore the major concepts of statistics through investigations, problem solving, use of technology, and writing. The use of technology will be an integral part of this course; graphing calculators and computational programs will be used frequently. Students should have achieved a final grade of 75 or better in Algebra 2 and/or a teacher recommendation to be prepared for this course. Summer work may be required. Students are required to take the AP Exam in the spring.

**466 Calculus Honors (Grade 12) Everyday Full Semester 1.00 Credit**

Calculus is the mathematics of change and motion. This course will review key concepts learned in the Precalculus course and apply these concepts to the study of limits, derivatives, integration, and their applications. Emphasis will be placed on active participation through modeling, critical thinking, group learning activities, and precise communications in mathematics. Students will use graphing calculators as a tool to support problem solving. As an honors course, this course will address topics at a quicker pace and explore concepts at a deeper level. Students need to achieve a final grade of 80 or above in Precalculus, and receive a teacher recommendation for this course.

**470 Advanced Placement Calculus AB Everyday Full Semester 1.00 Credit**

**471 AP Calculus AB Part 2 Every other day Full Semester 0.50 Credit**

**(Grade 12)**

This course follows the AP Calculus outline as presented by the College Board. Topics covered are functions and graphs, limits and continuity, differential calculus, integral calculus and the application of these concepts to real world problems. Emphasis will be placed on active participation through modeling, critical thinking, group learning activities, and precise communications in mathematics. Students will use graphing calculators as a tool to support problem solving and communications. Students need to achieve a final grade of 80 or above in Precalculus, and receive a teacher recommendation for this course. This course prepares students to take the AP Calculus AB exam. There is the potential to earn college credit for this course. Students are required to participate in the alternating day second semester portion of the course and to take the AP Exam.