Math

Math Essentials (Regular, Resource)- 1 year course

Grade 9

*Math Essentials is offered in conjunction with Algebra I to allow students that need additional instruction to support their learning in Algebra I

This course builds upon conceptual understanding and foundations found in algebra and geometry. Topics include: ratio, proportion, probability, statistics, geometry of two and three dimensional objects, right triangle geometry and trigonometry, linear functions, special non-liner functions, quadratic functions, and other foundational math topics. This course does not count for TOPS University Diploma.

Algebra I (Regular, Resource, Honors)- 1 year course

Grade 9, Prerequisite for Honors Enrollment: A or B in 8th grade math, Mastery or Advanced on LEAP, and teacher recommendation.

This course includes understanding the language of algebra, performing operations with real numbers, solving linear equations and inequalities, problem solving with equations, graphing linear equations, solving linear inequalities, solving systems of equations, computations with polynomials, factoring polynomials, performing operations with algebraic fractions, solving expressions containing radicals, solving quadratic equations, and understanding the integration of algebra with other mathematics. All students are required to take the Algebra I LEAP2025 test in the Spring Semester. A passing score on the LEAP2025 is required for graduation.

Geometry (Regular, Resource, Honors, Gifted)- 1 year course

Grades 9, 10, Prerequisite: Algebra I

Prerequisite for Honors Enrollment: “B” average or better in Algebra I (H) or an “A” average in Algebra I

This course includes the structure of geometric relationships in a plane; properties of angles and perpendicular lines; inductive and deductive reasoning; recognition and application of theorems about parallel and perpendicular lines and planes; identification of polygons, congruent and similar triangles and their properties; the characteristics of right triangles; circles and, perimeters, area, and volume of geometric figures. All students are required to take the Geometry LEAP2025 test in the Spring Semester. A passing score on the LEAP2025 is required for graduation.

Algebra II (Regular, Honors, Gifted)- 1 year course

Grades 10, 11, Prerequisite: Algebra I and Geometry. Prerequisite for Honors Enrollment: “B” average in Algebra I and Geometry (H) or “A” average in Algebra I and Geometry

This course covers all topics presented in Algebra I in greater depth. Additional topics include: conics, logarithms, polynomial and rational functions.

Algebra III (Regular)- 1 year course

Grades 12, Prerequisite: Algebra I, Algebra II, and Geometry

Recommended for Regular or Honors Enrollment: “B” average or better in Algebra I and Algebra II

Students will solidify topics learned in Algebra II, while focusing on work with many types of functions such as polynomial, rational, radical, exponential, and logarithmic. Modeling real-life problems and fitting data to those models will be an integral component of this course. This course will give students the work needed in preparation for College Algebra.

Algebra III (Dual Enrollment- 3 college credits earned)- 1 year course

Grades 11, 12, Prerequisite: Algebra I and Algebra II and minimum mathematics ACT/PREACT score of 19

Recommended for Regular or Honors Enrollment: “B” average or better in Algebra I and Algebra II

An in-depth study of solving equations and inequalities, function properties and graphs with transformations, inverse functions, linear, quadratic, polynomial, rational, exponential and logarithmic functions with applications.

Probability & Statistics (Regular)- 1 year course

Grade  12, Prerequisite: Algebra I, Algebra II, and Geometry

An introduction to statistics which includes the following topics: organizing and displaying of data, measures of central tendency, position, and dispersion, correlation and linear regression, discrete and continuous probabilities, normal distribution, student t-distribution, sampling distributions, confidence intervals, and hypothesis testing.

Probability & Statistics (Dual Enrollment-College Elementary Statistics–3 credit hours earned)- 1 year course

Grade  12, Prerequisite: DE College Algebra or DE Pre-Calculus

An introduction to descriptive and inferential statistics which includes the following topics: organizing and displaying of data, measures of central tendency, position, and dispersion, correlation and linear regression, discrete and continuous probabilities, normal distribution, student t-distribution, sampling distributions, confidence intervals, and hypothesis testing. This course will not count for Engineering, Math, Computer Science and most science majors.

Pre-Calculus (Honors)- 1 year course

Grades 11, 12, Prerequisite: Algebra I, Algebra II, Geometry.  Recommended for Regular or Honors Enrollment: “B” average or better in Algebra I, Algebra II, and Geometry

The first semester includes college algebra topics such as linear, exponential, logarithmic, polynomial and rational function. Focus will be on passing the CLEP test. Students may earn college credit for College Algebra for 3 credit hours upon successful completion of the course and standardized test. The second semester introduces topics from college trigonometry such as the unit circle, trig graphs, solving triangles, and trig equations.

DE Pre-Calculus (Dual Enrollment-College Alg. & Trig.-6 credit hours earned)- 1 year course

Grades 11, 12, Prerequisite: Algebra I, Algebra II, Geometry and minimum mathematics ACT/PREACT score of 19. Recommended for Regular or Honors Enrollment: “B” average or better in Algebra I, Algebra II, and Geometry

An in-depth study of solving equations and inequalities, function properties and graphs with transformations, inverse functions, linear, quadratic, polynomial, rational, exponential, and logarithmic functions with applications. The study of trigonometric functions which includes the following topics: laws of sine, cosine, the trigonometric functions and their graphs inverse trigonometric functions, trigonometric identities and equations, complex numbers, graphs of parametric equations and graphs in polar coordinates. Trigonometry and trigonometric functions will be used to model and solve real world applications.

Applied Calculus (Dual Enrollment-College Applied Calculus-3 credit hours earned)- 1 year course

Grade 12, Prerequisite: DE College Algebra or DE Pre-Calculus and minimum mathematics ACT/PREACT score of 19

An introduction to differential and integral calculus. Topics will include limits, the derivative, applications of the derivative, antiderivatives, and the definite integral. Polynomial, rational, radical, exponential, and logarithmic functions will be studied. This course will not count for Engineering, Math, Computer Science, and most science majors.

Calculus (Advanced Placement)- 1 year course

Grade 12, Prerequisite: “B” average in Pre-Calculus or DE Pre-Calculus and minimum mathematics ACT/PREACT score of 19

Topics covered include algebraic, trigonometric, exponential and logarithmic functions. Limits and derivatives of these functions will be included, as well as applications of derivatives. Integral calculus will include antiderivatives, in-depth techniques of integration, and applications of the definite integral. In Advanced Placement, students may earn college credit (Calculus I- 5 hour credit) upon successful completion of the course and standardized test.

Financial Literacy (Regular)- 1 year course

Grades 11, 12, Prerequisite: Algebra I and Geometry

This course focuses on personal finance. Students will explore important life skills through mathematical applications. Topics address decision making and personal responsibilities such as understanding paychecks and income, budgeting, banking, credit, loans, buying a house, buying a car, insurance, and investments. This course counts a a math for the TOPS Tech Diploma and as an elective for the TOPS University Diploma.

Business Math (Regular, Resource)- 1 year course

Grades 12, Prerequisite: Algebra I, Financial Literacy, and Geometry

This course focuses on mathematics in business situations. Students will explore how businesses function through mathematical applications. Topics include all facets of managing a business such as personnel, production, purchasing, sales, marketing, storage, distribution, services, accounting, and planning. This course does not count as a math for TOPS University Diploma.