Mathematics

In this important foundational course of the college preparatory, three-course sequence, students develop an understanding of how the symbolic language of mathematics can be used as a tool to understand numeric relationships. The course content includes the creation and solving of equations and inequalities; building and interpreting linear, polynomial, rational, and exponential functions; reasoning with systems of equations; and analyzing graphs. 

This course develops basic geometry skills and algebraic concepts useful to students who struggled in Algebra 1. Students will gain experience with geometric notation and figures; corresponding parts, congruence and similarity; the Pythagorean Theorem; basic constructions; proofs; properties of angles; special right triangles, and area of some common geometric figures. Also, students will heavily review algebraic concepts throughout each unit to aid in conceptual understanding of new geometry concepts. This course does not meet a-g requirements and is designed for motivated students who are not ready for the rigor of Geometry. 

As the second course in the college preparatory, three-course sequence, this course teaches geometry concepts and skills as they apply to the world around us. Course content includes proofs, surface area and volume; coordinate geometry; congruence and similarity; right triangles and trigonometry; circles, and an introduction to statistics and probability. 

Honors level math courses at Sage Creek are geared towards students who intend to pursue a career in science, technology, engineering, or math. For this course, students need to be strong in their mathematical and spatial reasoning skills and must be highly interested and motivated to learn at an accelerated pace. All of the topics of college preparatory Geometry are covered but in greater depth and complexity. 

This course is a non-weighted Honors course. 

At Sage Creek, Intermediate Algebra is a mandatory math elective course that is required for all students entering CP Algebra 2 A and B and for many students entering Algebra 2 Honors A and B. It is unnecessary only for Algebra 2 Honors students who earned A’s in both semesters of Advanced/Honors Geometry and Advanced/Honors Algebra 1. Topics covered include clearing equations of fractions, simplifying radical expressions, advanced factoring, completing the square, rational exponents, exponential functions and logarithms, solving rational equations, introduction to discrete mathematics. 

The third course in the college preparatory, three-course sequence, Algebra 2 complements and expands the mathematical content and concepts of Algebra 1 and Geometry. At Sage Creek, Algebra 2 is a three-trimester course consisting of a mandatory math elective (Intermediate Algebra) followed by college preparatory Algebra 2 A and B. Topics covered include the construction and comparison of linear, quadratic, and exponential models; graphically representing and solving systems of equations and inequalities; rational and logarithmic functions, the complex number system, and statistics and probability. Students are introduced to the use of a graphing calculator. 

At Sage Creek, Algebra 2 Honors is a three-trimester course consisting of a mandatory math elective (Intermediate Algebra) followed by Algebra 2 A and B. Honors level math courses at Sage Creek are geared towards students who intend to pursue a career in science, technology, engineering, or math. All of the topics of College Preparatory Algebra 2 are covered, but Algebra 2 Honors is faster-paced and goes into greater depth and complexity than the three-trimester college preparatory Algebra 2 course. Therefore, students enrolling in this course need to be insightful in their algebraic and geometric reasoning skills and highly interested and motivated to learn at an accelerated pace. 

This course is a non-weighted Honors course. 

This 2-part course is designed to prepare students for further pursuit of college-level mathematics, as well as increase student ability to apply deductive reasoning in problem solving. Part A reviews and expands upon advanced topics encountered in Algebra 2. Topics include absolute value with inequalities, functions and their graphs, polynomial and rational functions, as well as conics, exponential and log functions. Part B weaves together the mathematical content and concepts of both Geometry and Algebra 2. Topics include trigonometric ratios and functions around the unit circle, inverse trigonometric functions, waves, applications of trigonometry, including vectors, laws of sine and cosine, and trigonometric identities. 

Honors level math courses at Sage Creek are geared towards students who intend to pursue a career in science, technology, engineering, or math. This two-trimester course is designed to prepare students for Math Analysis in the third trimester and AP Calculus B/C in the fall trimester of the following year. PreCalculus Honors A & B are weighted courses. Advanced algebraic and trigonometric functions are taught with an emphasis on conceptual understanding and problem solving in applications. 

Math Analysis is an elective option to the three-trimester course sequence of Pre-Calculus Honors A & B and Math Analysis. It is an unweighted math elective despite the fact that it is the equivalent of AP Calculus A, and is designed to prepare students for AP Calculus B/C in the fall trimester of the following year. 

In this course, students will be introduced to the major concepts of probability, interpretations data, and statistical problem solving. Students will learn the course concepts through hands-on experimentation, simulations, and investigation. They will analyze existing data as well as data collected through a survey, observational study or experiment. They will then display the data in different ways, analyze it, and draw conclusions based on the results. 

This is a college-level course that covers the following topics: exploring data; planning a study (deciding what and how to measure); anticipating patterns (introducing probability and simulation); interpreting data; and statistical inference. Mastery of the course content gives students the background to succeed in the Advanced Placement Exam in May. 

The A and B portion of AP classes are weighted; the required Seminar portion is a non-weighted elective credit. 

This course provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications. Students are introduced to calculus and the following topics: limits and continuity, differential calculus, application of differentiation, integral calculus, differential equations, basic methods of integration, and applications of integration. This course prepares students to take the Advanced Placement Exam. 

The A and B portion of AP classes are weighted; the required Seminar portion is a non-weighted elective credit. 

This course provides students with an intuitive understanding of the concepts of calculus and offers experience with its methods and applications. In addition to a comprehensive review of differential and integral calculus, the topics covered include: vector functions, parametric equations, and polar coordinates; rigorous definitions of finite and nonexistent limits; derivatives and advanced applications of the definite integral; and sequences and series. This course prepares students to take the Advanced Placement Exam for AP Calculus BC in May. 

The A and B portion of AP classes are weighted; the required Seminar portion is a non-weighted elective credit 

This course will develop skills in Data Science and statistics by emphasizing a modeling approach. Students will learn to use data and modeling to answer questions and to critically evaluate information. By the end of the course, students will be prepared to explore quantitative and categorical data using numerical and visual summaries with the use of R; to model variation in categorical and quantitative data using the General Linear Model (GLM); and to compare and evaluate models in terms of effect size and probabilities. A significant goal of the course is to provide students with skills that are future oriented and tied to the real-world so that they are better equipped for their future careers.