Mathematics

Course Number: 27.09110

Enhanced Algebra: Concepts and Connections is a course option that thoughtfully blends Grade 8 content standards with Algebra: Concepts and Connections standards. This course awards high school credit for middle school students. In the Enhanced Algebra: Concepts & Connections course, instructional time should regularly incorporate the 8 Mathematical Practices, the Framework for Statistical Reasoning, and the Mathematical Modeling Framework through six big ideas of content: (1) mathematical modeling, (2) numerical reasoning, (3) functional & graphical reasoning, (4) patterning and algebraic reasoning, (5) data and statistical reasoning and (6) geometric and spatial reasoning. In this course, students will create, interpret, solve, and graph linear equations and inequalities in one variable and nonlinear (quadratic and exponential) equations and functions. Students will interpret quadratic and exponential expressions. Students will continue to enhance their algebraic reasoning skills when analyzing and applying a deep understanding of systems of linear inequalities and sums and products of rational and irrational numbers. Students will apply their algebraic and geometric reasoning skills to make sense of problems involving distance, midpoint, slope, area, perimeter, and statistical reasoning.

Course Number: 27.08110
Prerequisite: 8th Grade Mathematics

Algebra: Concepts and Connections is the first course in a sequence of three high school courses designed to ensure career and college readiness. Students will apply their algebraic and geometric reasoning skills to make sense of problems involving algebra, geometry, bivariate data, and statistics. This course focuses on algebraic, quantitative, geometric, graphical, and statistical reasoning. In this course, students will continue to enhance their algebraic reasoning skills when analyzing and applying a deep understanding of linear functions, sums and products of rational and irrational numbers, systems of linear inequalities, distance, midpoint, slope, area, perimeter, nonlinear equations and functions, quadratic expressions, equations and functions, exponential expressions, equations, and functions, and statistical reasoning. Required for graduation, 1 unit. A state mandated End-Of-Course Assessment (EOC) is required.

Course Number: 27.08210
Prerequisite: Algebra Concepts & Connections

Geometry: Concepts and Connections is the second course in a sequence of three high school courses designed to ensure career and college readiness. This course is intended to enhance students’ geometric, algebraic, graphical, and probabilistic reasoning skills. Students will apply their algebraic and geometric reasoning skills to make sense of problems involving geometry, trigonometry, algebra, probability, and statistics. Students will continue to enhance their analytical geometry and reasoning skills when analyzing and applying a deep understanding of polynomial expressions, proofs, constructions, rigid motions and transformations, similarity, congruence, circles, right triangle trigonometry, geometric measurement, and conditional probability.

Honors courses are more rigorous and intensive college preparatory courses for highly motivated students that are greater in depth and accelerate students for more advanced courses, such as AP and IB.

Course Number:  27.08310
Prerequisite: Geometry Concepts & Connections

Advanced Algebra: Concepts & Connections is the third course in a sequence of courses designed to ensure career and college readiness. It is intended to prepare students for fourth mathematics course options relevant to their postsecondary pursuits. In Advanced Algebra: Concepts & Connections, students will continue to enhance their data and statistical reasoning skills as they learn specific ways to collect, critique, analyze, and interpret data. Students will learn how to use matrices and linear programming to represent data and to solve contextually relevant problems. Students will strengthen their geometric and spatial reasoning skills as they learn how to solve trigonometric equations using the unit circle. In previous courses, students studied how to use linear and quadratic functions to model real-life phenomena. In Advanced Algebra: Concepts and Connections, students will further develop their functional and graphical reasoning as they explore and analyze structures and patterns for exponential, logarithmic, radical, polynomial, and rational expressions, equations and functions to further understand the world around them.

Honors courses are more rigorous and intensive college preparatory courses for highly motivated students that are greater in depth and accelerate students for more advanced courses, such as AP and IB.

Course Number: 27.07410
Prerequisite: Advanced Algebra Concepts & Connections

AP Precalculus is a fourth-year mathematics course option for students who have completed Advanced Algebra: Concepts and Connections. The course is intended to provide students with opportunities to develop a deeper understanding of Algebraic concepts that are critical to the study of Calculus. Students will also deepen their understanding of trigonometry and its applications. Throughout the Precalculus course there should be a focus on notational fluency and the use of multiple representations. The course includes the study and analysis of piecewise and rational functions; limits and continuity as related to piecewise and rational functions; sequences and series with the incorporation of convergence and divergence; conic sections as implicitly defined curves; the six trigonometric functions and their inverses; applications of trigonometry such as modeling periodic phenomena, modeling with vectors and parametric equations, solving oblique triangles in contextual situations, graphing in the Polar Plane; solutions of trigonometric equations in a variety of contexts; and the manipulation and application of trigonometric identities. Topics should be analyzed in multiple ways, including verbal and written, numerical, algebraic, and graphical presentations. Instruction and assessment should include the appropriate use of technology. Concepts should be introduced and investigated, where appropriate, in the context of realistic phenomena. 

Students will have covered all standards on the AP PreCalculus exam upon completion of this course and are expected to take the Advanced Placement exam in May.

Course Number: 27.08800
Prerequisite: Advanced Algebra Concepts & Connections

The Statistical Reasoning course offers students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical investigative questions to be answered using data, will design and implement a plan to collect the appropriate data, will select appropriate graphical and numerical methods for data analysis, and will interpret their results to make connections with the initial question. The Mathematical Modeling and Statistical Reasoning Frameworks will provide the foundation for instruction and assessment. Topics should be introduced and assessed using simulations and appropriate supporting technology.
 

Course Number: 27.08500
Prerequisite: Advanced Algebra Concepts & Connections

Advanced Mathematical Decision Making (AMDM) is a fourth-year mathematics course option designed to follow the completion of Advanced Algebra: Concepts and Connections. Students will enhance their understanding of concepts explored in the context of real-life phenomena. The intent of this course is for students to combine their understanding of multiple mathematical concepts as they explore and solve real-world mathematical problems. Students will investigate applications of mathematics in a variety of contexts, including business and financial decision-making, earning, investing, spending, and borrowing money, using functions to model problem situations in both discrete and continuous relationships, and using ratios, rates, and percentages to solve problems.

Course Number: 27.07200
Prerequisite: PreCalculus

The study of calculus includes an extensive use  of practical applications from engineering, physical science, business,  economics, and the life sciences. There will be strong emphasis on  problem solving where there is more than one well-defined procedure for obtaining the answer. Students are expected to take the Advanced  Placement Exam in May.

Course Number: 27.07200
Prerequisite: PreCalculus

The study of calculus includes an extensive use  of practical applications from engineering, physical science, business,  economics, and the life sciences. There will be strong emphasis on  problem solving where there is more than one well-defined procedure  for obtaining the answer. BC Calculus is an extension of AB Calculus  rather than an enhancement. The overlapping topics are covered in  similar depth. Students are expected to take the Advanced Placement  Exam in May.

Course Number: 27.07400
Prerequisite: Advanced Algebra Concepts & Connections

The purpose of the course is to introduce students  to the major concepts and tools for collecting, analyzing, and drawing  conclusions from data. Students are expected to take the Advanced  Placement Exam in May.

2 Units: 11th/12th grade students only
Prerequisite: PreCalculus & 11th, 12th grade student

A proof-based, theoretical student-centered  integrated math course focusing on the concepts, principles, and nature  of mathematics. Students will understand, transfer, and apply math  skills to a variety of problems and will also develop an understanding  of how mathematics fits into other disciplines. As with other IB courses,  A&A will address the study of mathematics from a global perspective.  The integrated study includes mathematical thinking in the areas of  precalculus, calculus, statistics, algebra, functions, and probability, but  this course studies calculus in greater depth than the IB A&I course.

2 Units: 11th/12th grade students only
Prerequisite: Advanced Algebra Concepts & Connections, 11th, 12th grade student

A statistics-based, practical student-centered  integrated math course focusing on the concepts, principles, and nature  of mathematics. Students will understand, transfer, and apply math  skills to a variety of problems and will also develop an understanding  of how mathematics fits into other disciplines. As with other IB courses,  A&I will address the study of mathematics from a global perspective.  The integrated study includes mathematical thinking in the areas of  precalculus, calculus, statistics, algebra, functions, and probability, but  this course studies statistics and application in greater depth than the  IB A&A course.