THERE ARE WORK-BASED LEARNING OPPORTUNITIES AVAILABLE IN THE MATH DEPARTMENT:
SEE THE "WORK-BASED LEARNING" TAB TO FIND INFORMATION ON THE LOCAL WORK-BASED EXPERIENCE AND YOUTH APPRENTICESHIP OPTIONS
Career Clusters Connected to the Math Department
Careers in architecture and construction range from designing, planning, managing and building a structure, to maintaining the built environment.
Business management and administration careers encompass planning, organizing, directing and evaluating business functions that are essential to efficient and productive business operations. These career opportunities are available in every sector of the economy.
People working in finance are involved in developing services for financial and investment planning, banking, insurance and business financial management.
Careers in manufacturing involve planning, managing and performing the processing of materials into intermediate or final products and related professional and technical support activities such as production planning and control, maintenance and manufacturing/process engineering.
People working in marketing careers plan, manage and perform marketing activities to reach organizational objectives.
The fields of science, technology, engineering and mathematics involve planning, managing and providing scientific research and professional and technical services (such as physical science, social science and engineering). These may include laboratory and testing services, as well as research and development.
Careers in transportation, distribution and logistics involve planning, management and movement of people, materials and goods by road, pipeline, air, rail and water, as well as related professional and technical support services such as transportation infrastructure planning and management, logistics services and mobile equipment and
Every Student must earn 3 credits of Math to graduate.
Standard Math Sequence:
Grade 9: Algebra
Grade 10: Geometry
Grade 11: Math Reasoning (Alg. 1.5) or Algebra 2
Grade 12: AP Stats, and/or Pre Calc
Attention future college athletes: Be sure to select NCAA-approved courses in all core subjects of English, Math, Science, and Social Studies.
Mathematics Department Course Descriptions
65315/65316 Algebra 1
1.0 credit - 2 semesters
Grades: 9-12
SPECIAL CONDITION: SAME COURSE OFFERED AT THE MIDDLE AND HIGH SCHOOL
Algebra 1 will focus primarily on linear equations; from graphing to solving systems of linear equations as well as problem solving. Quadratics and exponentials will be introduced as well as a basic introduction to statistical analysis.
Priority Standards:
Semester 1
Standard 1. LINEAR EQUATIONS & INEQUALITIES: Solve a variety of linear equations and inequalities, justify solutions, and draw conclusions from solutions.
Standard 2. LINEAR EXPRESSIONS & FUNCTIONS: Evaluate or simplify linear expressions and functions, justify results, and draw conclusions.
Standard 3. LINEAR VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a linear function, data, or geometric property.
Standard 4. LINEAR MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Semester 2
Standard 5. QUADRATIC AND POLYNOMIAL EQUATIONS & INEQUALITIES: Solve a variety of quadratic and polynomial equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 6. QUADRATIC AND POLYNOMIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 7. QUADRATIC AND POLYNOMIAL VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a quadratic and polynomial function, data, or geometric property.
Standard 8. QUADRATIC AND POLYNOMIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65375Y/65376Y Geometry
1.0 credit - 2 semesters
Grades: 10-12
Prerequisite: Passed 2 semesters of Algebra 1
SPECIAL CONDITION: SAME COURSE OFFERED AT THE MIDDLE AND HIGH SCHOOL
Includes problem-solving and the ability to think logically using applications of both inductive and deductive reasoning. Covers both plane and solid figures, coordinate geometry, transformations, fundamental characteristics of points, lines, planes, angles, polygons, prisms, polyhedrons, circles and spheres.
Priority Standards:
Standard 19. GEOMETRIC REPRESENTATIONS: Display, describe, and apply geometric properties.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Standard 22. MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
65754 Consumer Math
0.5 credit - 1 semester
Grades: 11-12
Prerequisite: Passed 2 semesters each of both Algebra and Geometry
*Consumer Math is NOT NCAA-approved.
In Consumer Math, students explore the mathematics found in a variety of financial topics ranging from the stock market to buying an automobile. The mathematics used assists students in making sense of the financial world around them through mathematical modeling and equips them with the ability to make sound financial decisions based on data. This course meets the financial literacy graduation requirement for the Classes of 2024 and 2025.
Starting with the Class of 2026, this course will no longer meet the financial literacy graduation requirement.
65755 Mathematical Modeling
0.5 credit - 1 semesters
Grades: 11-12
Prerequisite: Passed 2 semesters of Algebra and Geometry
Come see math come alive! This class focuses on the process of visualizing, describing, and representing real world problems, patterns, or situations using mathematical models. These models allow us to better understand, predict, and make decisions in nearly every aspect of life. Be ready to take on creating models through explorations, discussions, hands-on project-based learning, and real world data sets. Check out how math can be used to describe the world around us!
65460 Intro to Statistics
0.5 credit - 1 semester
Grades: 11-12
Prerequisite: passed Algebra 2
Intro to Statistics is a one-semester course designed to give the student entry-level experience with statistics. The primary focus is on one-variable statistics, covering material relating to designing studies, displaying data, normal distributions, probability, and inference.
Priority Standards:
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Standard 22. MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
65390/65391 Math Reasoning (Algebra 1.5)
Offered for dual credit through Madison College
Dual credit if certified Madison College teacher is available
*Math Reasoning is NOT NCAA-approved.
*Math Reasoning is NOT approved for Direct Admit WI
1.0 credit - 2 semesters
Grades: 11-12
Prerequisite: Passed and completed 2 semesters of Algebra and 2 semesters of Geometry prior to starting this course. Must be a junior or senior to receive dual credit with Madison College. Must enter Madison College within 2 years to receive dual credit.
All college students, regardless of their college major, need to be able to make reasonable decisions about scale, environmental, and health issues that require quantitative reasoning. A collaborative, activity-based approach is used in this course to explore numerical relationships, graphs, proportional relationships, algebraic reasoning, and problem solving using linear, exponential and other mathematical models. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts.
Semester 1
Standard 1. LINEAR EQUATIONS & INEQUALITIES: Solve a variety of linear equations and inequalities, justify solutions, and draw conclusions from solutions.
Standard 2. LINEAR EXPRESSIONS & FUNCTIONS: Evaluate or simplify linear expressions and functions, justify results, and draw conclusions.
Standard 3. LINEAR VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a linear function, data, or geometric property.
Standard 4. LINEAR MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Semester 2
Standard 5. QUADRATIC AND POLYNOMIAL EQUATIONS & INEQUALITIES: Solve a variety of quadratic and polynomial equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 6. QUADRATIC AND POLYNOMIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 8. QUADRATIC AND POLYNOMIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 10. RATIONAL AND EXPONENTIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 12. RATIONAL AND EXPONENTIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65441/65442 Algebra 2
1.0 credit -2 semesters
Grades: 11-12
Prerequisite: passed 2 semesters of Algebra 1 and Geometry
Recommended: Grade of C or higher in BOTH Algebra 1 AND Geometry courses.
This is a course in advanced Algebra and continues the story begun in Algebra 1. It review linear equations and emphasizes quadratics more. It also will cover new topics such as polynomials, trigonometry, sequences, probability, statistics, and logarithms.
Priority Standards:
Semester 1
Standard 5. QUADRATIC AND POLYNOMIAL EQUATIONS & INEQUALITIES: Solve a variety of quadratic and polynomial equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 6. QUADRATIC AND POLYNOMIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 7. QUADRATIC AND POLYNOMIAL VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a quadratic and polynomial function, data, or geometric property.
Standard 8. QUADRATIC AND POLYNOMIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Semester 2
Standard 9. RATIONAL AND EXPONENTIAL EQUATIONS & INEQUALITIES: Solve a variety of rational and exponential equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 10. RATIONAL AND EXPONENTIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 11. RATIONAL AND EXPONENTIAL VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a rational and exponential function, data, or geometric property.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65457Y/65458Y Pre-Calculus
1.0 credit - 2 semesters
Gade: 11-12
Prerequisite: Passed Algebra 2
Precalculus is designed to prepare students for college by building a solid foundation in advanced algebra, trigonometry, and analytical geometry. Students will explore topics such as polynomial, rational, exponential, logarithmic, and trigonometric functions, as well as conic sections. Emphasis is placed on problem-solving, mathematical reasoning, and real-world applications. These concepts reinforce and build on what was learned in Algebra 2 while also setting a foundation for skills necessary to be successful in other higher-level mathematics courses.
Priority Standards:
Semester 1
Standard 8. QUADRATIC AND POLYNOMIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 9. RATIONAL AND EXPONENTIAL EQUATIONS & INEQUALITIES: Solve a variety of rational and exponential equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 10. RATIONAL AND EXPONENTIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 11. RATIONAL AND EXPONENTIAL VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a rational and exponential function, data, or geometric property.
Standard 12. RATIONAL AND EXPONENTIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Semester 2
Standard 13. TRIGONOMETRIC EQUATIONS & INEQUALITIES: Solve a variety of trigonometric equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 14. TRIGONOMETRIC EXPRESSIONS & FUNCTIONS: Evaluate or simplify trigonometric expressions and functions, justify results, and draw conclusions.
Standard 15. TRIGONOMETRIC VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a trigonometric function, data, or geometric property.
Standard 16. TRIGONOMETRIC MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65455Y/65456Y CAPP/AP Statistics
** LAUDE COURSE **
1.0 credit - 2 semesters
Grades: 11-12
Prerequisite: Passed 2 semesters of Algebra 2 with a grade of B or above
SPECIAL CONDITION: A GRAPHING CALCULATOR IS REQUIRED FOR THOSE PLANNING ON TAKING THE AP EXAM. THE NUMWORKS CALCULATOR IS HIGHLY RECOMMENDED BECAUSE OF ITS EASE OF USE.
College-level, algebra-based statistics. Built around four main topics: exploring data, planning a study, probability as it relates to distributions of data, and inferential reasoning. This course is designed to prepare students to take the Advanced Placement Test in mid-May. May be taken concurrently with Pre-Calculus. It is recommended that the student had a C or higher in Algebra 2 the year before.
The CAPP program is a dual-credit option offered through UW-Oshkosh and allows students to take the grade they earn in HS and put it on their UWO transcript, no AP exam needs to be taken. The credits can then transfer to many other universities across the country, with some stipulations, of course. If taking the course for CAPP credit, the cost will be $100 and 3 credits will be earned for UWO. A UW System Mathematics Placement Exam is REQUIRED to be taken to determine eligibility for CAPP credit only.
Priority Standards:
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65519/65520 AP Pre-Calculus
** LAUDE COURSE **
1.0 credit - 2 semesters
Grades: 11-12
Prerequisite: Passed 2 semesters of Algebra 2
AP Precalculus prepares students for other college-level mathematics and science courses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. The course framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science.
This course is focused on deeper level understanding of Algebra 2 concepts, while developing connections with trigonometry and an introduction to Calculus material. Topics covered are polynomials of higher degrees, rational functions, logarithmic/exponential functions, conics, trigonometry, vectors, polar, complex numbers, and parametric functions. May be taken concurrently with AP Statistics.
Priority Standards:
Semester 1
Standard 9. RATIONAL AND EXPONENTIAL EQUATIONS & INEQUALITIES: Solve a variety of rational and exponential equations and inequalities, justify solution, and draw conclusions from solutions.
Standard 10. RATIONAL AND EXPONENTIAL EXPRESSIONS & FUNCTIONS: Evaluate or simplify quadratic and polynomial expressions and functions, justify result, and draw conclusions.
Standard 11. RATIONAL AND EXPONENTIAL VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a rational and exponential function, data, or geometric property.
Standard 12. RATIONAL AND EXPONENTIAL MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Semester 2
Standard 13. TRIGONOMETRIC EQUATIONS & INEQUALITIES: Solve a variety of trigonometric equations and inequalities, justify solutions, and draw conclusions from solutions.
Standard 14. TRIGONOMETRIC EXPRESSIONS & FUNCTIONS: Evaluate or simplify trigonometric expressions and functions, justify results, and draw conclusions.
Standard 15. TRIGONOMETRIC VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a trigonometric function, data, or geometric property.
Standard 16. TRIGONOMETRIC MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
65751Y/65752Y CAPP/AP Calculus AB
** LAUDE COURSE **
1.0 credit - 2 semesters
Grades: 12
Prerequisite: Passed 2 semesters of Pre-Calculus with a grade of C or above
SPECIAL CONDITION: A GRAPHING CALCULATOR IS REQUIRED FOR THOSE PLANNING ON TAKING THE AP EXAM. THE NUMWORKS CALCULATOR IS HIGHLY RECOMMENDED BECAUSE OF ITS EASE OF USE.
Calculus AB is a college-level Calculus 1 course based on the study of real-valued functions of a single variable. The course topics include limits, derivatives, antiderivatives & definite integrals. Applications of differentiation and integration, such as related rates, optimization, curve-sketching, areas, volumes and accumulations are also covered It is recommended that the student had a C or higher in pre-calculus the year before.
The CAPP program is a dual-credit option offered through UW-Oshkosh and allows students to take the grade they earn in HS and put it on their UWO transcript, no AP exam needs to be taken. The credits can then transfer to many other universities across the country, with some stipulations, of course. If taking the course for CAPP credit, the cost will be $167 and 5 credits will be earned for UWO. A UW System Mathematics Placement Exam is REQUIRED to be taken to determine eligibility for CAPP credit only.
Priority Standards:
Standard 17. CALCULUS EXPRESSIONS & FUNCTIONS: Evaluate or simplify expressions and functions, justify results, and draw conclusions.
Standard 18. CALCULUS VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a function, data, or geometric property.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Standard 22. MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
65756Y/65757Y CAPP/AP Calculus BC
** LAUDE COURSE **
1.0 credit - 2 semesters
Grades: 12
Prerequisite: AP Calculus 1 (AB), AP Calculus 2 (AB)
This is a college-level Calculus 2 course, but the pace will be a bit slower than the college level course. AP Calculus BC is a continuation of the topics that were learned in AP Calculus AB. We will pick up where AB left off with methods of integration, more applications of the integral, and then explore mathematical series and sequences. Finally, the calculus of polar functions and vectors will be explored.
The CAPP program is a dual-credit option offered through UW-Oshkosh and allows students to take the grade they earn in HS and put it on their UWO transcript, no AP exam needs to be taken. The credits can then transfer to many other universities across the country, with some stipulations, of course. If taking the course for CAPP credit, the cost will be $133 and 4 credits will be earned for UWO.
Priority Standards:
Standard 17. CALCULUS EXPRESSIONS & FUNCTIONS: Evaluate or simplify expressions and functions, justify results, and draw conclusions.
Standard 18. CALCULUS VISUAL REPRESENTATIONS: Display, describe, and apply a visual representation of a function, data, or geometric property.
Standard 21. CONJECTURE & CONCLUSION THROUGH REASONING: Draw conclusions and explain reasoning based on evidence using logical arguments.
Standard 22. MODELS & STRUCTURES: Model, solve, and interpret a situation in context with a proper equation or function.
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