# 2020-21 HS Course Selection Guide - MATHEMATICS

• ## Mathematics Courses

• All students must take a math course in each year of 9th, 10th and 11th grades.
• A flowchart of the progression of the secondary math courses can be found at the back of this guide.

### Algebra 1A 1 credit

This is part 1 of a 2-year Algebra experience for students. Algebra 1A covers the first half of the Algebra content and provides additional time for students to explore the content and make connections to the abstract topics in the course. Topics include functions, one-variable equations as well as a focus on linear equations.

### Algebra 1B 1 credit

This course serves as the second part of the Algebra 1 curriculum and focuses on systems of equations, exponents and polynomials. Additional time is provided to assist students with exploring concepts through multiple methods. At the conclusion of this course, students will be have learned all of the content contained on the Algebra Keystone Exam.

### Algebra 1 Career & College Prep (9) 1 credit

Content includes the tools of algebra, solving equations and inequalities, proportions, graphs and functions, systems of equations and inequalities, polynomials, radicals, and rational expressions. Course material is presented with representational and abstract applications of algebraic skills and concepts.
Prerequisite: Successful completion of Pre-Algebra.

### Algebra 1 Honors (9) 1 credit

Throughout this course, students engage in algebraic reasoning and advanced applications of content. Content includes the tools of algebra, solving equations and inequalities, proportions, graphs and functions, systems of equations and inequalities, polynomials, radicals, and rational expressions. Course material is explored with representational and abstract applications of algebraic skills and concepts.
Prerequisite: Successful completion of Pre-Algebra.

### Geometry Career & College Prep (10) 1 credit

Content includes reasoning and proof, parallel and perpendicular lines, congruent triangles, relationships within triangles, quadrilaterals, area, similarity, right triangle trigonometry, surface area and volume, circles, and transformations. The content is presented with representational and abstract applications of the geometric skills and concepts taught.
Prerequisite: Successful completion of Algebra 1.

### Geometry Honors (9, 10) 1 credit

Presented with advanced applications of geometric skills and concepts, content includes tools of geometry, deductive and inductive reasoning and rigorous proof, parallel and perpendicular lines, congruent triangles, properties of triangles, quadrilaterals, area, similarity, right triangle trigonometry, surface area and volume, circles, and transformations.
Prerequisite: Successful completion of Algebra 1.

### Geometry Accelerated Honors (9, 10) 1 credit

Virtual course offering – this course is offered virtually and as a traditional in-person experience.
Content includes deductive and inductive reasoning and comprehensive proof, perpendicular and parallel lines, congruent triangles, properties of triangles, quadrilaterals, transformations, similarity, right triangles and trigonometry, circles, and surface area and volume. The content is presented with complex applications of geometric skills and concepts.
Prerequisite: Successful completion of Algebra 1.

### Algebra 2 Career & College Prep (11) 1 credit

Course content is presented with representational and abstract applications of algebraic skills and concepts: functions, equations, graphs, linear systems, matrices, quadratic equations and functions, polynomials, radical functions, rational exponents, exponential and logarithmic functions, rational functions, sequences and series, probability and statistics.
Prerequisite: Successful completion of or concurrent enrollment in Geometry.

### Algebra 2 Honors (10) 1 credit

Content includes equations and inequalities, linear equations and functions, systems of linear equations and inequalities, matrices, quadratic functions, polynomials and polynomial functions, powers, roots and radicals, exponential and logarithmic functions, rational equations and functions, quadratic relations, sequences and series, probability and statistics. The content is presented with advanced applications of algebraic skills and concepts.
Prerequisite: Successful completion of or concurrent enrollment in Geometry.

### Algebra 2 Accelerated Honors (9, 10) 1 credit

Presented with complex applications of algebraic skills and concepts, content includes equations and inequalities, linear equations and functions, systems of linear equations and inequalities, matrices, quadratic functions, polynomials and polynomial functions, powers, roots and radicals, exponential and logarithmic functions, rational equations and functions, quadratic relations and conic sections, sequences and series, probability, statistics and trigonometric ratios.
Prerequisite: Successful completion or concurrent enrollment in Geometry Accelerated Honors or Honors.

### Pre-Calculus Career & College Prep (11, 12) 1 credit

Presented with real-world applications of mathematical skills and concepts, this course will prepare students for the study of calculus. Content includes functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, analytic functions, topics in trigonometry, linear systems and matrices, sequences, series, probability, and analytic geometry in two and three dimensions.
Prerequisite: Successful completion of Algebra 2.

### Pre-Calculus Honors (10, 11) 1 credit

This course will prepare students for the in-depth study of college-level calculus. Content includes functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, analytic functions, topics in trigonometry, linear systems and matrices, sequences, series, probability, analytic geometry in two and three dimensions. The content is presented with advanced applications of mathematical skills and concepts.
Prerequisite: Successful completion of Algebra 2

### Pre-Calculus Accelerated Honors (10, 11) 1 credit

Presented with complex applications of mathematical skills and concepts, this course will prepare students for rigorous study of college-level calculus. Content includes functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, analytic functions, topics in trigonometry, linear systems and matrices, sequences, series, probability, analytic geometry in two and three dimensions.
Prerequisite: Successful completion of Algebra 2 Honors or Accelerated Honors

### Calculus Honors (11, 12) 1 credit

Blended learning class - 4 days in-class/ 1 day online learning
As an introduction to college-level calculus, course content includes a review of the prerequisites for calculus, including algebraic, exponential, logarithmic, and trigonometric functions, limits, and continuity, derivatives, applications of derivatives, the definite integral, differential equations and mathematical modeling. This course is not intended to prepare students for the Advanced Placement (AP) examination.
Prerequisite: Successful completion of Pre-calculus

### Advanced Placement Calculus AB (11, 12) 1 credit

Designed to prepare students for the AB level of the Advanced Placement examination in Calculus, topics include algebraic, trigonometric, exponential and logarithmic functions, limits, derivatives, continuity, applications of the derivative, anti-derivatives, definite integrals, and applications of integration.
Prerequisite: Successful completion of Pre-calculus

### Advanced Placement Calculus BC (11, 12) 1 credit

Blended learning class - 3 days in-class/ 2 day online learning
Designed to prepare students for the BC level of the Advanced Placement examination in Calculus, topics include functions, limits, derivatives, continuity, polar coordinates, vector functions and derivatives, indeterminate forms, applications of the derivative, anti-derivatives, definite integrals, improper integrals, and applications of integration, sequences, series, convergence, and elementary differential equations.
Prerequisite: Successful completion of Calculus Advanced Placement AB or 93% or higher in Pre-Calculus Accelerated Honors with teacher recommendation.

### Intro to Matrices and Linear Algebra (11,12) 1 credit

This dual enrollment course is offered in conjunction with the University of Pittsburgh through their College in High School program and follows the curriculum for their Math 280 course. It intends to further prepare students for studies in the areas of mathematics, engineering, computer science, physics, and related fields with applied topics that highlight vectors, matrices, determinants, linear transformations, eigenvalues and eigenvectors. The course will be taught at one of the WCASD high schools by WCASD teaching staff. Students successfully completing the dual enrollment requirements will receive three college credits from University of Pittsburgh. Tuition and fees are to be determined.
Prerequisite: Successful completion of AP Calculus BC

### Intro to Statistics & Financial Literacy Career & College Prep (12) 1 credit

As an introduction to mathematical concepts that are typically covered in a first-year liberal arts college-level mathematics course, statistical topics will include the collecting and analyzing of data with an emphasis on spreadsheet manipulation. Additional topics vary and may include a study of number theory, logic, sets and set theory, probability, mathematical modeling and problem solving. Financial Literacy will be an additional focus of the curriculum throughout the year. This course is offered at a pace and level of rigor that varies significantly from Statistics Honors.
Prerequisite: Successful completion of Geometry

### Statistics Honors (10, 11, 12) 1 credit

Blended learning class - 4 days in-class/ 1 day online learning
Designed to introduce students to the concepts and tools for collecting, analyzing, and drawing conclusions from data, topics include exploring and understanding data, exploring relationships between variables, gathering data, randomness and probability. The concept of sampling and the properties of sampling distributions are studied as a foundation to inferential statistics. This course will not prepare students to take the Advanced Placement Statistics examination.
Prerequisite: Successful completion of Algebra 2

### Statistics Honors through Sports Analytics (10, 11, 12) 1 credit

Blended learning class - 4 days in-class/ 1 day online learning
This course will cover the same set of topics and standards as Statistics Honors while focusing on the use of data and quantitative methods to measure performance and decision-making processes in the world of sports. Students will collect and analyze data from men’s and women’s sports and identify relationships between variables and discuss randomness, probability and sampling distributions. This course is designed to include critical thinking, mathematical modeling, statistical & predictive analysis, optimization and simulation. These skills will be applied to various elements of sports, but are equally useful in many other areas and careers.
Prerequisite: Successful completion of Algebra 2

### Advanced Placement Statistics (10, 11, 12) 1 credit

As an introduction to the concepts and tools for collecting, analyzing, and drawing conclusions from data in preparation for the Advanced Placement examination in Statistics, topics include exploring data (observing patterns and departures from patterns), planning a study (deciding what and how to measure), anticipating patterns (producing models using probability theory and simulations), and statistical inference (confirming models).
Prerequisite: Successful completion of Algebra 2