BWHS Advising Helper

Formalizes and extends the mathematics that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. The critical areas, called units, deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions.

The Pre-AP Algebra 1 course is designed to deepen students’ understanding of linear relationships by emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide a powerful set of conceptual tools that students can use to make sense of their world through mathematics. This course focuses on the foundational algebraic knowledge and skills that matter most for college and career readiness and is the first math in the PreAP/AP Math pathway.

This course is designed to provide students with a meaningful conceptual bridge between algebra and geometry to deepen their understanding of mathematics. In this course, students are expected to use the mathematical knowledge and skills they have developed previously to problem solve across the domains of algebra, geometry, and statistics. The Pre-AP Geometry with Statistics course provides students with experiences that connect core ideas within and across the four units of the course, promoting a coherent understanding of measurement. This course focuses on the foundational geometric and statistical knowledge and skills that matter most for college and career readiness. The course also includes a focus on mathematical practices that students develop and leverage as they engage with the content. These practices support and align to the AP Calculus Mathematical Practices, the AP Statistics Course Skills, and the mathematical practices listed in the Arkansas state standards.

Formalizes and extends students’ geometric experiences from the middle grades. Students will explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Congruence, similarity, right triangles and trigonometry, understanding and application of theorems about circles, using coordinates to prove geometric theorems algebraically, and application of geometric concepts in mathematical modeling situations are the critical areas of study. To differentiate between Pre-AP and on-level Geometry, topics are studied at a much deeper level than the on-level course. Additionally, the Plus Standards (+) from the Arkansas Mathematics Standards will be incorporated into the curriculum to adequately prepare students for more rigorous courses. Notes: Encouraged for students planning to take an AP math course. Can be taken concurrently with an Algebra II.

Builds on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Note: Students may enroll concurrently with Geometry. The same course is offered as a HS Online course.

This course is designed to deepen and extend students' understanding of quadratic, exponential, logarithmic, and rational relationships by expanding on the students' understanding of functions. This course focuses on multiple representations of functions and equations, modeling real world scenarios with functions and methods for finding and representing solutions of equations, performing operations with functions and studying inverse functions. Students will engage in critical thinking skills as well as focus on mathematical practices that students develop and leverage as they engage with the content. These practices support and align to the AP Calculus Mathematical Practices, the AP Statistics Course Skills, and the mathematical practices listed in the Arkansas state standards. Note: Encouraged for students planning to take AP Calculus. Students may enroll concurrently with Geometry.

Building upon previous high school math courses, this course extends mathematical topics and relationships. Emphasis is on developing critical thinking skills through the application of mathematics in context and through modeling, using mathematics to represent, analyze, make predictions or otherwise provide insight into real-world situations. Students will represent their reasoning process and conclusions numerically, graphically, symbolically and verbally. This course can be used as a 3rd or 4th math credit for high school students. Note that Math Ready is not designed to prepare students for the advanced mathematical STEM pathway.

Builds on Algebra I to explore mathematical topics and relationships. Emphasis will be placed on applying modeling as the process of choosing and using appropriate mathematics and statistics to analyze, to better understand, and to improve mathematical understanding in real world situations. Students will represent and process their reasoning and conclusions numerically, graphically, symbolically, and verbally. College Prep Quantitative Reasoning will help students develop conceptual understanding by supporting them in making connections between concepts and applying previously learned material to new contexts. Students will be expected to use technology, including graphing calculators, computers, or data gathering tools throughout the course. Note: While ADE DESE allows this course to suffice for the Arkansas Act 480 of 2017 Financial Literacy component, we have that requirement embedded in our Economics course and our Personal Finance course.

Technical Math for College and Career builds on previous high school math courses to extend mathematical topics and relationships. Emphasis will be placed on the application of mathematics in context and on modeling which is a process that uses mathematics to represent, analyze, make predictions, or otherwise provide insight into real-world situations. Students will collect, organize, describe, and use quantitative data and draw inferences from real-world data. Students will represent and process their reasoning and conclusions numerically, graphically, symbolically, and verbally. Students will build their mathematical proficiency needed for future course work and/or careers including strategic competence (ability to formulate, represent, and solve mathematical problems) and adaptive reasoning (capacity for logical thought, reflection, explanation, and justification). Students will use technology, including graphing calculators, computer programs, and data-gathering tools throughout the course.

Statistics is a two-semester course designed for students who have successfully completed Algebra II and expect to further their studies in business, social sciences, or education. Statistics builds on knowledge of probability, randomness, and variability to provide students an understanding of experimental design, estimation, hypothesis testing, and effective communication of experimental results. Statistical information collected and analyzed by students is used to investigate ways of collecting, displaying, and analyzing data. Making inferences and justifying conclusions, conditional probability and the rules of probability, and using probability to make decisions are the three critical areas of study.

Enhances the higher level thinking skills developed in Algebra II through a more in-depth study of those concepts and exploration of some Precalculus concepts. Students in Algebra III will be challenged to increase understanding of algebraic, graphical, and numerical methods to analyze, translate and solve polynomial, rational, exponential, and logarithmic functions. Modeling real world situations is an important part of this course. Sequences and series will be used to represent and analyze real world problems and mathematical situations. Algebra III will also include a study of matrices and conics.

Emphasizes a study of trigonometric functions and identities as well as applications of right triangle trigonometry and circular functions. Students will use symbolic reasoning and analytical methods to represent mathematical situations, express generalizations, and study mathematical concepts and the relationships among them. Students will use functions and equations as tools for expressing generalizations. Note: Encouraged for students planning to take an AP math course or major in a STEM related field in college.

The course includes a study of functions including trigonometric functions through the graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts. Students will apply their understanding of functions by constructing and validating appropriate function models for scenarios, sets of conditions, and data sets. This validation will use transformations of functions and regressions. Another aspect of the course is to identify, interpret, and apply information from a function model for a given context or data set, subject to assumptions and limitations related to the context. Through the course, students strengthen their procedural and symbolic fluency skills. While studying each function type, students solve equations arising from one iteration of a function and construct equivalent analytic representations in both contextual and purely mathematical settings. Students interested in STEM career pathways should take this course to build a strong foundation for calculus and beyond. Notes: Students must take the AP exam in May to receive the weighted GPA.

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. Notes: Students must take the AP exam in May for the weighted GPA.

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. Note: Students must take the AP exam in May for the weighted GPA.

AP Calculus BC is designed to develop mathematical knowledge conceptually, guiding you to connect topics and representations throughout the course and to apply strategies and techniques to accurately solve diverse types of problems. Calculus BC includes all topics covered in Calculus AB plus additional topics, and is designed to qualify you for placement and credit in a course that is one course beyond what’s granted for Calculus AB. Notes: AP Calculus AB is not a prerequisite for AP Calculus BC. Students will get an AP Calculus AB sub-score when taking the AP Calculus BC exam. Students must take the AP exam in May for the weighted GPA.

Algebra III enhances the higher-level thinking skills developed in Algebra II through a more in-depth study of those concepts and exploration of some Precalculus concepts. Students in Algebra III will be challenged to increase understanding of algebraic, graphical, and numerical methods to analyze, translate and solve polynomial, rational, exponential, and logarithmic functions. Modeling real world situations is an important part of this course. Sequences and series will be used to represent and analyze real world problems and mathematical situations. Algebra III will also include a study of matrices and conics. College Algebra is an overview of the fundamental concepts of algebra with an emphasis on the study of functions. These functions include (but are not limited to) linear, quadratic, polynomial, square root, absolute value, rational, exponential, and logarithmic. Additional topics include equations and inequalities related to the function types, systems of equations and inequalities, matrices, and sequences and series. Notes: See General Information on Concurrent Enrollment. These two classes alone are worth 1 academic credit for each course, but in this block code combo only half of the Alg III curriculum and credit is delivered.

An overview of the fundamental concepts of algebra with an emphasis on the study of functions. These functions include (but are not limited to) linear, quadratic, polynomial, square root, absolute value, rational, exponential, and logarithmic. Additional topics include equations and inequalities related to the function types, systems of equations and inequalities, matrices, and sequences and series.

A survey and applications course in mathematics designed for business, life science, and social science students. Topics include a review of using a graphing utility, linear models, systems of linear equations, matrices, linear programming, the simplex method, set theory, probability, counting principles, statistics, and finance mathematics.

A survey of basic trigonometric concepts. Topics include a review of functions and graphs, the trigonometric functions, graphs of trigonometric functions, inverse trigonometric functions, trigonometric identities and equations, applications of trigonometry, complex numbers, a review of exponential and logarithmic functions, and polar coordinates and equations.