Math
Core Courses (meet graduation requirements for Math)
ALGEBRA I (A312)
The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades, deepening and extending students’ understanding of linear relationships and comparing linear functions to exponential and quadratic functions. In addition, throughout the course, students will engage in evaluating rational algebraic expressions, solving and graphing one variable equations and inequalities, performing operations on and factoring polynomial expressions, and solving quadratic equations. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Students will take the Algebra I MCAP Assessment during this course. Algebra I is a yearlong course that meets 90 minutes daily.
HONORS ALGEBRA I (A312H/A312HSM)
The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades, deepening and extending students’ understanding of linear relationships and comparing linear functions to exponential and quadratic functions. In addition, throughout the course, students will engage in evaluating rational algebraic expressions, solving and graphing one variable equations and inequalities, performing operations on and factoring polynomial expressions, and solving quadratic equations. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Honors Algebra I includes additional standards and is a rigorous course, preparing students to demonstrate advanced proficiency in preparation for college-level mathematics coursework. Students will take the Algebra I MCAP Assessment during this course.
GEOMETRY (A322/A322SM)
The fundamental purpose of this course is to formalize and extend students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations and justifications of geometric relationships, moving towards formal mathematical arguments or proof. Throughout the course, students engage in parallelism, perpendicularity, transformations, congruence, similarity, trigonometry, circle relationships, and modeling with surface area and volume. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Prerequisite: Earned an Algebra I credit or concurrent enrollment in Algebra I
HONORS GEOMETRY (A322H/A322HSM)
The fundamental purpose of this course is to formalize and extend students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations and justifications of geometric relationships, moving towards formal mathematical arguments or proof. Throughout the course, students engage in parallelism, perpendicularity, transformations, congruence, similarity, trigonometry, circle relationships, and modeling with surface area and volume. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Honors Geometry includes additional standards and is a rigorous course, preparing students to demonstrate advanced proficiency in preparation for college-level mathematics coursework. Students may need to take the Geometry MCAP assessment during this course. Prerequisite: Earned an Algebra I credit
ALGEBRA II (A332/A332SM)
Algebra II builds on students’ work with linear, exponential, and quadratic functions to extend their repertoire of functions to include polynomial, rational, radical, and trigonometric. Included in the study of these functions, students will also perform operations with rational and irrational expressions, factor rational expressions, solve rational and radical equations, and perform operations with rational and irrational exponents. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Prerequisite: Earned an Algebra I credit and a Geometry credit
HONORS ALGEBRA II (A332H/A332HSM)
Honors Algebra II prepares students for advanced work in science and mathematics. It builds on students’ work with linear, exponential, and quadratic functions, to extend their repertoire of functions to include polynomial, rational, radical, and trigonometric. Included in the study of these functions, students will also perform operations with rational and irrational expressions, factor rational expressions, solve rational and radical equations, and perform operations with rational and irrational exponents. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Honors Algebra II is more rigorous than Algebra II because additional standards are integrated into the course, and other standards are taught to a deeper understanding. Students may need to take the Algebra II MCAP assessment during this course Prerequisite: Earned an Algebra I credit and a Geometry credit
ALGEBRA IIA (A332ACSM)
Algebra IIA is paired with Algebra IIB. The two courses comprise all of the standards for Algebra II. Algebra IIA includes extending exponential and quadratic functions and equations. Also included is making connections to polynomial functions of higher-degree and radical functions. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Prerequisite: Earned an Algebra I credit and a Geometry credit
ALGEBRA IIB (A322BCSM)
Algebra IIB is paired with Algebra IIA. The two courses comprise all of the standards for Algebra II. Algebra IIB includes extending knowledge of functions to logarithmic, rational, and trigonometric functions. Students will gain skills during this course to be able to demonstrate their understanding of mathematics by modeling and solving real-world problems, making sense of quantities and their relationships, and reasoning mathematically. Prerequisite: Earned an Algebra I credit and a Geometry credit
STATISTICS & PROBABILITY (A336SM)
Statistics and Probability develops a basic understanding of statistical analysis and introduces the study of likely events. Topics of study include concepts and methods used to collect, analyze, and draw conclusions from data as well as populations and samples, measures of central tendency and variability, hypothesis testing, presentation, and making statistical inferences. Additional probability topics include independent and conditional probability, Venn diagrams, two-way frequency tables, and applications. Prerequisite: Earned an Algebra I credit and a Geometry credit
FINANCIAL LITERACY (A839SM)
Students will study consumer decision-making, consumer protection skills, how credit works, the different types and functions of financial institutions, investing, savings, insurance, paychecks and taxes, housing costs, and using spending plans to accomplish personal financial goals. In each unit, students will learn and practice the application of mathematics through the integration of a consumer mathematics curriculum into the lessons. Financial Literacy does not meet the requirements for a USMD Completer. Prerequisite: Earned an Algebra I credit and a Geometry credit
STATISTICS (A190SM) Dual Credit (MAT116), Accelerated Credit
This is a dual credit, college-level mathematics course consisting of the study of statistics for analysis and decision-making. The areas of data (collection, representation, and exploration), probability (counting, basic, combined, and conditional events), probability distributions (Binomial, Poisson, Normal, Student’s t, and Chi-Square), sampling distributions (central limit theorem, mean, and proportion), confidence interval estimation (mean, proportion, and standard deviation), and hypothesis testing (one and two sample mean and proportion, dependent means, and Goodness-of-Fit) are covered through the consideration of real-world data sets and applications from business, education, social and natural sciences contexts. Prerequisite: Earned a credit in Algebra 1 and Geometry
PRECALCULUS I (A346SM) Dual Credit (MAT160), Accelerated Credit
This is a dual credit, college-level mathematics course consisting of the study of algebraic functions, including linear, quadratic, polynomial, root, and rational functions, as well as their applications. Problems will be solved through analytical, numerical, and graphical approaches with an emphasis on application problems. Additional topics include complex numbers, inverse functions, and operations with functions, compositions of functions, solving systems of equations, inequalities, and circles. Prerequisite: Earned an Algebra II credit
QUANTITATIVE REASONING (A3314SM) Dual Credit (MAT115), Accelerated Credit
This is a dual credit, college-level mathematics course designed for students who do not expect to need any additional mathematics coursework to achieve their education or career goals. Emphasis is placed on quantitative methods and the associated reasoning skills essential for efficient and effective personal and professional decision-making. The course will be covered in 5 modules: Logical Thinking, Exponential and Logarithmic Functions, Personal Finance, Probabilistic Reasoning, and Statistical Thinking. Prerequisite: Earned a credit in Algebra 1 and Geometry
ADVANCED PLACEMENT PRECALCULUS (A192AP) AP Weight
Following the College Board’s suggested curriculum designed to parallel college level learning, AP Precalculus prepares students for other college-level mathematics and science courses. Students study each function type through their graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts. These functions include polynomial, rational, exponential, logarithmic, trigonometric, polar, and functions involving parameters, vectors, and matrices. Furthermore, students apply their understanding of functions by constructing and validating appropriate function models for scenarios, sets of conditions, and data sets, thereby gaining a deeper understanding of the nature and behavior of each function type. Students who take an AP course are expected to take the AP exam offered for that course in May. Prerequisite: Earned an Honors Algebra II credit or teacher recommendation
ADVANCED PLACEMENT STATISTICS (A336AP) AP Weight
Following the College Board’s suggested curriculum designed to parallel college-level statistics courses, AP Statistics courses introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference. Technology is used extensively throughout the course as students are actively engaged in analyzing data from a wide variety of sources. Students will have assigned reading and/or other course-related activities prior to the beginning of this course. Students who take an AP course are expected to take the AP exam offered for that course in early May. Prerequisite: Earned an Algebra II or Honors Algebra II credit
ADVANCED PLACEMENT CALCULUS AB (A341AP) AP Weight
Following the College Board’s suggested curriculum designed to parallel college-level calculus courses, AP Calculus AB provides students with an understanding of the concepts of calculus and experience with its methods and applications. This course introduces calculus and includes the following topics: functions, graphs, limits, and continuity; differential calculus (including definition, application, and computation of the derivative; derivative at a point; derivative as a function; and second derivatives); and integral calculus (including definite integrals and antidifferentiation). Students who take an AP course are expected to take the AP exam offered for that course in early May. Prerequisite: Earned AP Precalculus credit
ADVANCED PLACEMENT CALCULUS AB & BC (A339AP) 2 AP Credits, AP Weight
Following the College Board’s suggested curriculum designed to parallel college-level calculus courses, AP Calculus AB/BC provides students with an understanding of the concepts of calculus and experience with its methods and applications. This course covers all of the Calculus topics in AP Calculus AB as well as the following topics: Parametric, polar, and vector functions; applications of integrals and polynomial approximations and series, including series of Constants and Taylor series. Students who take an AP course are expected to take the AP exam offered for that course in early May. Due to the additional content, this course will take two year-long class periods in a student’s schedule. Prerequisite: Earned AP Precalculus credit
IB MATHEMATICS: APPLICATIONS AND INTERPRETATION SL (A337IB) IB Weight
The IB Mathematics: Application and Interpretation (SL) course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course, such as calculus and statistics. The course makes extensive use of technology to allow students to explore and construct mathematical models. IB Mathematics: Applications and Interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures. The internal assessment exploration will require students to demonstrate mathematical communication and the use of mathematics, including relevance. Students must complete all assessment requirements to receive IBO recognition for completing this course. Recommended: Earned an AP Precalculus or AP Statistics credit
IB MATHEMATICS: ANALYSIS AND APPROACHES SL (A340IB) IB Weight
The IB Mathematics: Analysis and Approaches (SL) course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof, for instance, the study of sequences and series. The course allows the use of technology, as fluency in relevant mathematical software and hand-held technology is important regardless of the choice of course. However, IB Mathematics: Analysis and Approaches (SL) has a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. IB Mathematics: Analysis and Approaches (SL) should be comfortable in the manipulation of algebraic expressions, enjoy the recognition of patterns, and understand the mathematical generalization of these patterns. The internal assessment exploration will require students to demonstrate mathematical communication and the use of mathematics, including relevance. Students must complete all assessment requirements to receive IBO recognition for completing this course. Prerequisite: Earned an AP Calculus or IB Mathematics: Application and Interpretation SL credit
IB MATHEMATICS: ANALYSIS AND APPROACHES HL (PART 1) (A343IB) IB Weight
The IB Mathematics: Analysis and Approaches (Part 1) (HL) course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof, for instance, the study of sequences and series, including proof by induction. The course allows the use of technology, as fluency in relevant mathematical software and hand-held technology is important regardless of the choice of course. However, IB Mathematics: Analysis and Approaches (Part 1) (HL) has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. IB Mathematics: Analysis and Approaches (Part 1) (HL) students should be comfortable in the manipulation of algebraic expressions, enjoy the recognition of patterns, and understand the mathematical generalization of these patterns. The internal assessment exploration will require students to demonstrate mathematical communication and the use of mathematics, including relevance and sophistication, with clarity of logic and language. Prerequisite: Earned an AP Calculus credit
IB MATHEMATICS: ANALYSIS AND APPROACHES HL (PART 2) (A344IB) IB Weight
The IB Mathematics: Analysis and Approaches (Part 2) (HL) course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof, for instance, the study of sequences, and series, including proof by induction at HL. The course allows the use of technology, as fluency in relevant mathematical software and hand-held technology is important regardless of the choice of course. However, IB Mathematics: Analysis and Approaches (Part 2) (HL) has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. IB Mathematics: Analysis and Approaches (Part 2) (HL) students should be comfortable in the manipulation of algebraic expressions, enjoy the recognition of patterns, and understand the mathematical generalization of these patterns. IB Mathematics: Analysis and Approaches (Part 2) (HL) students will have strong algebraic skills and the ability to understand simple proof. They will be students who enjoy spending time with problems and get pleasure and satisfaction from solving challenging problems. The internal assessment exploration will require students to demonstrate mathematical communication and the use of mathematics, including relevance and sophistication, with clarity of logic and language. Students must complete all assessment requirements to receive IBO recognition for completing this course. Prerequisite: Eraned IB Analysis and Approaches HL (Part I)
Elective Credits (DO not meet graduation requirements for Math)
MATH SUPPORT (A192SM) The Math Support course is a semester-long mathematics course designed to hone skills developed in Algebra I. Students will review and build upon priority Algebra I concepts through personalized learning and small group instruction for success in the next course. Students will take the Algebra I MCAP assessment during this course.
MATH INTERVENTION (A095/A095SM)
Math Intervention is intended to improve a student’s conceptual and procedural understanding of critical mathematics concepts from prior grades or courses and problem-solving skills that support WCPS transfer goals through targeted, intensive, specially- designed, or intentionally designed instruction. Students who require specialized instruction and other support are provided math interventions for the development of calculation or problem-solving skills. Each student who requires this level of intervention is assessed through a variety of measures to determine the specific needs, and then a plan is developed and implemented by the instructional team to meet those needs. This can be addressed through a customized instructional plan and/or a structured intervention program. For students with disabilities in the area of math, math intervention will specifically target the goals that have been developed to address the identified disability-related area(s) of need. This course must be in addition to a student’s grade level, core mathematics course (e.g. Algebra I or Geometry).