Mathematics

Welcome to the Mathematics Department at Wakefield High School!

Our department is committed to nurturing a deep understanding and appreciation of mathematics in our students. We offer a comprehensive curriculum that spans from foundational courses to advanced placement classes, ensuring that every student can find their path to success.

Our dedicated and knowledgeable teachers strive to create an engaging and supportive learning environment where students can develop their problem-solving skills, logical reasoning, and mathematical creativity.

Join us as we explore the fascinating world of numbers, patterns, and equations!

The mathematics program in Arlington Public Schools emphasizes the mathematics students will need for study beyond high school, for careers, and for effective citizenship. All students are encouraged to study mathematics each year they are in school. Course offerings make it possible for students to progress as far as their achievement allows.

Students and families interested in exceptions to course prerequisites or dual enrollment in mathematics courses should see page 2 under Exceptions to Course Prerequisites (in the Program of Studies). These students need to speak with their mathematics teacher.

Note: Courses that have fewer than 15 students may not be offered based on student interest and budget considerations. In some cases, additional budget considerations may require that courses may not be offered in any given year and impacted students should select an alternative course. Additionally, courses with insufficient enrollment may be offered through distance learning or online learning.

Mathematics Courses

Advanced Algebra with Trigonometry

Full Year (23155)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

This course is an in-depth study of trigonometry and advanced algebra topics. The 12-18-week study of trigonometry will include triangle and unit circle trigonometry and trigonometric functions and their applications. Advanced algebra topics will include an extension of previous algebra skills, exponential and logarithmic functions, and rational expressions. Additional topics may include probability, sequences and series, and discrete mathematics. The uses of technology and applications are integral parts of this course.SchoolsArlington Community High SchoolHB Woodlawn Secondary ProgramLangston/New DirectionsThe Arlington Career CenterWakefield High SchoolWashington-Liberty High SchoolYorktown High School

Prerequisites: Grade “C” or better in Algebra II or grade ”D” or better in Algebra II, Intensified

Notes: This course was previously titled Algebra III.

Algebra, Functions & Data Analysis (AFDA)

Full Year (23145)

Level: High School

Content Area: Mathematics

Credits 1.0

Grade(s): 10, 11, 12

This course is intended to be an extension of Algebra I concepts toward a conceptual overview of Algebra II topics with the context of mathematical modeling and data analysis as well as a more in-depth study of statistics topics. Using a discovery approach to learning, students will study the broad characteristics of functions and their behaviors and solve problems that require the formulation of linear, quadratic, exponential, logarithmic equations or a system of equations or inequalities. Students will develop a global understanding of these functions which will aid a more detailed study in subsequent courses. Probability, experimental design and implementation, and analysis of data will be incorporated into the study of functions, and data will be generated by practical applications arising from real life scenarios. This course may be taken after Algebra I and before Geometry or after Geometry and before Algebra II. It is not intended to be taken after Algebra II.

Prerequisites: Algebra I

Algebra I

Full Year (23130)

Level: High School

Content Area: Mathematics

Credits 1.0

Grade(s): 9, 10, 11, 12

This course includes properties of the real number system, linear equations and inequalities, systems of equations and inequalities, exponents, radicals, rational expressions and equations, polynomials, factoring, solving, and graphing quadratic equations, functions, statistics, and problem-solving. Students take the Algebra I SOL test at the end of this course.

Prerequisites: Grade ”D” or better in the previous mathematics course

Notes: Passing the SOL test and the course earns a verified credit.

Algebra I, Immersion

Full Year (23230)

Level: High School

Content Area: Mathematics, Wakefield Immersion Program

Credits: 1.0

Grade(s): 9, 10, 11, 12

Designation: Immersion

Prerequisites: Grade “D” or better in the previous mathematics course.

Notes: Students take the Algebra I SOL test at the end of this course. Passing the SOL test and the course earns a verified credit.

Algebra I, Intensified

Full Year (23140)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

Quality Points: 1

The Algebra I, Intensified is a core course that provides a rigorous treatment of mathematics content for students who have demonstrated mastery of the Virginia Standards of Learning for Pre-Algebra Grade 8 mathematics and are ready to study additional advanced topics.Students in Algebra I, Intensified build understanding within these strands:

Expressions and Operations
Equations and Inequalities
Functions
Statistics

In addition, the content of the standards is intended to support the following process goals for learning mathematics: Problem Solving, Communications, Connections, Representations, and Reasoning.More specific examples of content components of the Virginia Standards of Learning (SOL) for Algebra I include:

Represent verbal quantitative situations algebraically and evaluate expressions.
Perform operations on polynomials including applying the laws of exponents, operations, and factoring.
Simplify square roots and cube roots.
Algebraically solve multistep equations in one variable including linear, quadratic, and literal with an emphasis on practical problem solving.
Solve systems of two linear equations in two variables graphically and algebraically.
Represent the solution of linear inequalities in two variables graphically, including systems of inequalities.
Determine slope, write equations, and graph linear equations in two variables.
Investigate and analyze linear and quadratic function families both algebraically and graphically.
Given a data set or practical situation, determine whether a direct or inverse variation exists and represent these algebraically and graphically.
Given practical solutions, collect and analyze data, determine the equation of the curve of best fit, and make predictions for linear and quadratic functions.

Students in Algebra I, Intensified learn the above topics with greater depth and complexity. In addition, students gain experience with a number of additional topics, including:

Absolute value equations and inequalities
Radical expressions and equations
Rational expressions and equations
Additional work with quadratics both graphically and algebraically
Examining additional functions
Exponential growth and decay
Pythagorean Theorem
Distance and Midpoint
Probability including permutations, combinations, compound events, surveys, and samples.

The content of the standards is intended to support the following process goals for learning mathematics: Problem Solving, Communications, Connections, Representations, and Reasoning.

Prerequisites: Pre-Algebra for 8th Graders

Algebra I, Part I

Full Year (23131)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

This full-year, one-period course includes properties of the real number system, the coordinate plane, linear equations and inequalities, systems of equations, functions, and problem solving. Students will earn an elective credit for this course, unless they are seeking standard diploma with accommodations, this course counts as a math credit for a standard diploma with accommodations. After this course, students should take Algebra I, Part II. Students do NOT take an SOL test at the end of this course, but content from this course appears on the Algebra I SOL test at the end of Algebra I, Part II.

Prerequisites: None; after successful completion of 23132 or 23130

Algebra I, Part II

Full Year (23132)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11

This full year, one-period course includes a review of Algebra I, Part I and then adds these topics: exponents, radicals, polynomials, solving and graphing quadratic equations, statistics, and problem-solving. This course counts as a mathematics credit for all students. Prior to this course, students should have taken Algebra I, Part I.

Prerequisites: Grade “D” or better in the previous mathematics course

Notes: Students take the Algebra I SOL test at the end of this course. Passing the test and the course earns a verified mathematics credit towards graduation.

Algebra I Strategies

Full Year (23124)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0

Elective Grade(s): 9, 10, 11, 12

The Algebra I Strategies course is an elective course for students who need additional support for success in Algebra I. Students enrolled will develop deeper, targeted, background knowledge, experience more conceptual approaches to the content, and develop the core course content more thoroughly. Concurrent enrollment in Algebra I (23130) is required.

Prerequisites: None

Algebra II

Full Year (23135)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

This course is an extension of Algebra I and Geometry. The Algebra II curriculum includes a thorough treatment of quadratics, polynomials, powers, roots, radicals, rationals, and the functions associated with these topics. The study of logarithms, exponential functions, complex numbers, sequences, series, and permutations, combinations, and probability and statistics is included. The uses of technology and applications are integral parts of this course.

Prerequisites: Grade “D” or better in Algebra I (or Algebra I Intensified) and Geometry (or Geometry, Intensified)

Notes: There is an end-of course SOL test in Algebra II that students may be required to take in an order to meet Federal requirements and/or earn a verified math credit towards graduation.

Algebra II Strategies

Full Year (23126)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0

Elective Grade(s): 9, 10, 11, 12

The Algebra II Strategies course is an elective course for students who need additional support for success in Algebra II. Students enrolled will develop deeper, targeted background knowledge, experience more conceptual approaches to the content, and develop the core course content more thoroughly. Concurrent enrollment in Algebra II (23135) is required.

Prerequisites: None

Algebra II/Trigonometry, Intensified

Full Year (23136)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

In addition to a more in-depth study of the content of Algebra II (23135) the following topics are included in this advanced course: trigonometry and trigonometric functions. The uses of technology and applications are integral parts of this course.

Prerequisites: Grade ”D” or better in Geometry, Intensified or ”D” or better in both Algebra I and Geometry

Notes: There is an end-of course SOL test in Algebra II that students may be required to take in order to meet Federal requirements and/or earn a verified math credit towards graduation.

Calculus AB, AP

Full Year (33177)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 10, 11, 12

Quality Points: 1.0

Designation: AP

A review of those topics needed for the study of calculus; theory of limits, differential calculus, and its applications; integral calculus and its applications, problem solving at the calculus level; and those topics which are contained in the Advanced Placement Calculus AB syllabus as given by the College Entrance Examination Board.

Prerequisites: Grade “C” or better in AP Pre-Calculus or in Pre-Calculus/Trigonometry.NotesStudents are required to take the AP exam associated with this course. Students not taking the exam will not earn the additional quality point. (23177)

Calculus BC, AP

Full Year (33179)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 10, 11, 12

Quality Points: 1.0

Designation: AP

In addition to the topics in Calculus AB, vector functions, polar areas, volumes, sequences, and series are covered. Limits and proofs are given more stress than in Calculus AB. Details may be found in the syllabus for Calculus BC published by the College Entrance Examination Board.

Prerequisites: Grade “B” or better in AP Pre-Calculus or in Pre-Calculus.

Notes: Students are required to take the AP exam associated with this course. Students not taking the exam will not earn the additional quality point. (23179)

Full Year (23128)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0 Elective

Grade(s): 9, 10, 11, 12

The Geometry Strategies course is an elective course for students who need additional support for success in Geometry. Students enrolled will develop deeper, targeted background knowledge, experience more conceptual approaches to the content, and develop the core course content more thoroughly. Concurrent enrollment in Geometry (23143) or Geometry, Principles (23142) is required.

Prerequisites: None

High School General Mathematics

Full Year (23120)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0 Elective

Grade(s): 9, 10, 11

Students will develop their understanding of whole number, fraction, decimal and percent computation and estimation. These concepts will be applied to practical problem-solving in the areas of measurement, probability, statistics, and geometry. Students will learn pre-algebra content, including rational numbers, ratio and proportion, integers, variable expressions and equations, and graphing.

Prerequisites: None

Notes: This course will not fulfill the mathematics credits requirement; it does provide an elective credit.

Linear Algebra

Semester (93165W)

Level: High School

Content Area: Mathematics

Credits: 0.5

Grade(s): 12

Quality Points: 1.0

Designation: Dual Enrollment

Linear Algebra is offered for those students who have completed Calculus BC prior to their senior year. Students will learn about systems of linear equations, vector spaces, linear transformations, and eigenvalues. This course will improve students’ quantitative reasoning and develop deductive logic skills.

Prerequisites: Successful completion of Calculus BC, AP and student must meet all criteria for dual enrollment courses with Northern Virginia Community College

Notes: The following dual enrollment courses may be taught as independent study, online courses at some locations. Please consult your school counselor for more information.

Additional Credit: This course may be dual enrolled at Northern Virginia Community College. The NOVA entrance requirements must be met before registering. Please consult with your school counselor for more details.

Math Foundations

Full Year (23111)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0

Elective Grade(s): 9, 10, 11

This course is intended for English Learners (ELs) who have been identified as students with limited or interrupted formal education (SLIFE). Students will develop their understanding of whole number, fraction, decimal and percent computation and estimation. These concepts will be applied to practical problem solving in the areas of measurement, probability, statistics, and geometry.

Prerequisites: None

Notes: This course will not fulfill the mathematics credits requirement; it does provide one elective credit.

Multivariable Calculus

Full Year (93178W)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 12

Quality Points: 1.0

Designation: Dual Enrollment

Multivariable Calculus is offered for those students who have completed the Calculus BC prior to their senior year. Some of the topics the course will cover are graphing three dimensional surfaces, integration and differentiation of vector valued functions, limits, and continuity of functions of two or more variables, partial derivatives, multiple integrals, directional derivatives and gradients, vector fields, Green’s Theorem, and Stoke’s Theorem.

Prerequisites: Successful completion of Calculus BC, and students must meet all criteria for dual enrollment courses with Northern Virginia Community College

Notes: The following dual enrollment courses may be taught as independent study, online courses at some locations. Please consult your school counselor for more information.

Pre-Algebra

Full Year (23113)

Level: High School

Content Area: Mathematics

Elective Credits: 1.0 Elective

Grade(s): 9, 10, 11

This course is intended for English Learners (ELs) who have been identified as students with limited or interrupted formal education (SLIFE). Students will learn pre-algebra content, including rational numbers, ratios & proportions, integers, variable expressions & equations, and graphing. A variety of strategies to target content, process, and language development will be implemented.

Prerequisites: None

Pre-Calculus, Advanced Placement

Full Year (33164)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 9, 10, 11, 12

This course delineates content and skills common to a college precalculus course. Students will study several topics of functions through their graphical, numerical, verbal, and analytical representations, as well as their applications in a variety of contexts. Students will also 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.

Prerequisites: Grade “B” or better in Algebra II/Trigonometry Intensified, or Grade “A” in Algebra II

Pre-Calculus/Trigonometry

Full Year (23162)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 11, 12

This course consists of an integrated review of elementary functions: polynomial, linear, exponential, logarithmic, and trigonometric. Other major areas include a study of analytic geometry, parametric equations, polar coordinates, sequences and series, discrete mathematics, vectors, matrices, and an introduction to limits and derivatives. Students will also study trigonometric functions, solve trigonometric equations, and trigonometric identities. This course provides students with the necessary skills and concepts for the study of Calculus AB the following year. The uses of technology and applications are integral parts of this course.

Prerequisites: Grade ”C” or better in Algebra III or Algebra II, Intensified or Grade “A ” in Algebra II

Probability & Statistics

Full Year (23190)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 10, 11, 12

This course offers an introduction to modern statistics and probability. Students learn the fundamental ideas of probability, some of which are applied to developing statistical methods in the next part of the course. The study of statistics includes the construction and interpretation of statistical graphs, measures of central tendency and variation, methods of sampling, binomial and normal distributions, and hypothesis testing, confidence intervals, regression, correlation, probability, permutations, and combinations. Applications are emphasized and technology will be used to simulate probability experiments, illustrate statistical concepts, and perform statistical analyses.

Prerequisites: Grade ”D” or better in Algebra II or Algebra II, Intensified

Quantitative Reasoning, Dual Enrollment

Full Year (93167W)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 11, 12

Quality Points: 1.0

Designation: Dual Enrollment

This dual enrollment course presents topics in proportional reasoning, modeling, financial literacy, and validity studies (logic and set theory). Focuses on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem, and applying what is learned to the original situation.

Prerequisites: Qualifying score on the NOVA placement exam; Grade “D” or higher in Algebra I, Geometry, Functions, and Data Analysis or Algebra II

Notes: The following dual enrollment courses may be taught as independent study, online courses at some locations. Please consult your school counselor for more information.

Additional Credit: The NOVA entrance requirements must be met before registering. Please consult with your school counselor for more details.

College Name: Northern Virginia Community College

College Course Title: MTH154 Quantitative Reasoning

College Credit: 3

Remedial Independent Self-Paced Education (RISE) Algebra

Semester (20203)

Level: High School

Content Area: Mathematics

Elective Credits: 0.5

ElectiveGrade(s): 11, 12

Student’s study/do target remediation work in the academic areas in which they have passed the class but failed the SOL assessment, using instructional software and/or on-line programs. Although study will be teacher assisted, most of the student work will be completed on an independent study basis. Courses offered for remediation include English (writing), English (reading/literature and research), Algebra I, Geometry, Biology, Earth Science, World Geography, and World History.

Prerequisites: Students have passed the corresponding class but failed the SOL assessment and are lacking the necessary verified credits to graduate.

Notes: Students will take this class on a pass/fail basis.

Remedial Independent Self-Paced Education (RISE) Geometry

Semester (20204)

Level: High School

Content Area: Mathematics

Elective Credits: 0.5 Elective

Grade(s): 11, 12

Prerequisites: Students have passed the corresponding class but failed the SOL assessment and are lacking the necessary verified credits to graduate.

Notes: Students will take this class on a pass/fail basis.

Statistics, AP

Full Year (33192)

Level: High School

Content Area: Mathematics

Credits: 1.0

Grade(s): 11, 12

Quality Points: 1.0

Designation: AP

This course provides the advanced mathematics student the opportunity to study the topics included in the Advanced Placement Statistics syllabus as provided by the College Entrance Examination Board. Topics include the study of probability and probability distributions, descriptive statistics such as measure of central tendency and variation, random numbers and simulation, confidence intervals, hypothesis testing for one and two sample data, contingency tables, correlation, and regression analysis. The uses of technology and computer software to analyze data are emphasized.

Prerequisites: Grade ”C” or better in Algebra II or Algebra II, Intensified, Probability & Statistics, or Algebra III

Notes: Students are required to take the AP exam associated with this course. Students not taking the exam will not earn the additional quality point. (23192)

Vector Calculus

Semester (93175W)

Level: High School

Content Area: Mathematics

Credits: 0.5

Grade(s): 12

Quality Points: 1.0

Designation: Dual Enrollment

Vector Calculus is offered for those students who have completed Calculus BC prior to their senior year. Some of the topics the course will cover are graphing three dimensional surfaces, integration and differentiation of vector valued functions, limits, and continuity of functions of two or more variables, partial derivatives, multiple integrals, directional derivatives and gradients, vector fields, and Green’s Theorem.

Prerequisites: Successful completion of Calculus BC, AP, and students must meet all criteria for dual enrollment courses with Northern Virginia Community College

Notes: The following dual enrollment courses may be taught as independent study, online courses at some locations. Please consult your school counselor for more information.