Mathematics

Level: AP

Credit(s): 1

Semester(s): 2

Typical Grade Level: 11th & 12th

Prerequisites: Completed all math graduation requirements. Precalculus or teacher recommendation. A or B in previous level content class; Cs and lower must have a teacher recommendation.

Calculus AB is equivalent to first semester of College calculus. Students have an opportunity to experience advanced mathematics and receive college credit. Calculus is the study of change. It offers an introduction to differential and integral calculus, emphasizing both theory and application. We will study calculus using a graphical, numerical, and analytic approach. Calculus AB is a must for students interested in studying mathematics, engineering, science, architecture, business, economics, and more.

Level of Challenge: 5

Typical Homework Commitment: 3-4 hours per week

Level: AP

Credit(s): 1

Semester(s): 2

Typical Grade Level: ANY

Prerequisites: Completed all Math Graduation Requirements. AP Calculus AB. A or B in previous level content class; Cs and lower must have a teacher recommendation.

Calculus BC is equivalent to the second semester of college calculus. Colleges offer 3 semesters of Calculus. Students have an opportunity to receive college credit for the first two semesters of Calculus. AP Calculus BC reviews all of the topics covered in AP Calculus AB, as well as parametric equations and polar coordinates, sequences and series, and an introduction to vector calculus and geometry. Calculus BC is a must for students interested in studying mathematics, engineering, science, architecture, business, economics, and more.

Level of Challenge: 5

Typical Homework Commitment: 3-4 hours per week

Level: AP

Credit(s): 1

Semester(s): 2

Typical Grade Level: ANY

Prerequisites: INT III

AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.

https://apcentral.collegeboard.org/courses/ap-statistics/course

Level of Challenge:

5

Typical Homework Commitment: 2-5 homework assignments all year

Level: Honors

Credit(s): 1

Semester(s): 2

Typical Grade Level: 10th or 11th

Prerequisites: An "A" in Integrated II AND recommendation from a math teacher.

This a rigorous course designed for students who have a strong interest in mathematics and plan to take AP mathematics courses. Students have the opportunity to reinforce, deepen, and extend their understanding of concepts learned in Algebra I and develop more sophisticated mathematical skills. The course typically focuses on relationships broadly categorized as linear, quadratic, polynomial, exponential, logarithmic, and trigonometric and emphasizes symbolic, numerical, and graphical representations of these relationships. Students will learn problem-solving strategies and improve their ability to think, explain, and reason mathematically, both orally and in writing. Course content will be put to practice and applied in both mathematical and real-world settings/situations, using technology.

*Students who complete this course will be REQUIRED to take AP Calculus in the following year.

Level of Challenge: 4

Typical Homework Commitment: 2 hours a week

Level: AP

Credit(s): 1

Semester(s): 2

Typical Grade Level: 11th or 12th (Student must be 16 or older)

Prerequisites: A or B in Math III AND CCC Placement Exam ALEKS Score of a +46 OR a SAT Math Score of +530.

Pre-Calculus emphasizes the notion of a function as a unifying concept for the topics of college algebra and an extension of the topics of trigonometry. The following families of functions and their characteristics are examined within this course: polynomial functions; rational functions; exponential and logarithmic functions; and trigonometric functions. Writing assignments, as appropriate to the discipline, are part of the course. Applications involving problem-solving skills will be emphasized throughout the course. Textbook: Precalculus: Mathematics for Calculus, 6th edition. Stewart, Redlin & Watson, Brooks/Cole.

Level of Challenge: 4

Typical Homework Commitment: 2-3 hours per week

Level: H

Credit(s): 1

Semester(s): 2

Typical Grade Level: 9th

Prerequisites: NONE.

The Core-Plus Mathematics series replaces the traditional Algebra/Geometry- Advanced Algebra/Trigonometry-Pre-calculus sequence of high school mathematics courses. Each of the first three courses focuses on important and broadly useful mathematics aligned with the CCSS for all students. The fourth course, Course 4: Preparation for Calculus, continues to prepare students moving forward in STEM-oriented college mathematics courses, specifically calculus. Being college and career-ready means being able to tackle more complex mathematical problems. Core-Plus Mathematics’ integration of real-world contexts connects math to the students’ world, engaging them in applying and reasoning about mathematics in ways that make sense to them. Mathematics education is not “one size fits all.” Because classrooms have students with different levels of math proficiency, Core-Plus Mathematics is constructed to easily incorporate differentiation to scaffold and challenge students as needed in every unit, every day. The Core-Plus Mathematics series is built so that students are actively engaged in problem-based investigations and mathematical discourse. Small and large group discussions promote sharing and explaining newly discovered mathematical concepts.

*Students earn Algebra I Credit.

Level of Challenge:

Typical Homework Commitment:

Level: H

Credit(s): 1

Semester(s): 2

Typical Grade Level: 10th (9th grade w/ Algebra Exit Exam)

Prerequisites: Integrated Math 1 OR Algebra Exit Exam

The second year of Integrated math builds on year one in the areas of algebra, functions, geometry, trigonometry, statistics and probability. The class empathizes on the importance of learning mathematics through sense-making. Using investigations of real-life contexts, scholars will develop a rich understanding of important mathematics that makes sense to them and which, in turn, enables them to make sense of new situations and new problems. This method builds confidence and prepares scholars for problems they will face in college, career, and beyond. Textbook: Core Plus Mathematics, Course 2

Level of Challenge: 2

Typical Homework Commitment: Average of 1 hour per week or 30 minutes per class period.

Level: H

Credit(s): 1

Semester(s): 2

Typical Grade Level: 11th

Prerequisites: Integrated Math II

In Integrated Math III, students will extend their knowledge of functions to create and apply mathematical models to represent and interpret real-world contexts. The development and comparison of multiple solution methods and mathematical representations builds a level of fluency and conceptual understanding essential for the study of more advanced mathematics. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content includes Non-linear Relationships and Functions, Solving Complex Equations using Multiple Methods, Interpreting, Building, and Modeling with Functions, Making Inferences and Conclusions from Data, and Probability. Textbook: Schultz, J.E, Ellis , W.; Hollowell, Kathleen A. (2004). Algebra 2. New York: Holt, Rinehart and Winston.

Level of Challenge: 3.5

Typical Homework Commitment: 60-90 min/week, depending on individual time management in class

Level: H

Credit(s): 1

Semester(s): 2

Typical Grade Level: 11th, 12th

Prerequisites: Completion of all Math Graduation Requirements.

Pre-Calculus is an extension of Integrated Math III. The major topics of Advanced Algebra are covered and reinforced in greater depth with additional applications. Limits, polynomial functions, and parametric functions are also introduced. The course is designed to encompass all the skills and concepts necessary to be successful in college mathematics. Precalculus is equivalent to College Algebra. Most college degrees require at least College Algebra. Textbook: Holt Precalculus.

Level of Challenge: 4

Typical Homework Commitment: 30 min/week, depending on individual time management in class.

Level: H

Credit(s): 1

Semester(s): 2

Typical Grade Level: 12th

Prerequisites: INT III, students will be recommended for this course by their INT III teacher.

This course is designed to build confidence and encourage an appreciation for mathematics in students who want to ensure success in their college mathematics courses. Students will examine functions, statistics and trigonometry using various tools, including graphing calculators and math software. Students should expect to engage in technical writing and discourse around the following types of functions: linear, quadratic, exponential, logarithmic, trigonometric, circular, polynomial and rational; additional topics are probability, binomial and normal distributions, and sequences and series. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Honors Pre College Algebra will prepare students for Pre-Calculus or college level coursework in mathematics.

Level of Challenge:

3

Typical Homework Commitment:

30-40 minutes twice a week.