12th Grade Math

PRECALCULUS 

02110G1000

Grade Level: 11-12

Prerequisite: Algebra II with Statistics

Recommendation:  80% average in Algebra II with Statistics

Requirement:  Texas Instruments Graphing Calculator

Precalculus is designed to provide the necessary prerequisites for the successful completion of college mathematics. Algebraic, graphical, numerical, and verbal analyses are incorporated during investigations of the precalculus content standards. Parametric equations, polar relations, vector operations, conic sections, and limits are introduced. Content for this course also includes an expanded study of polynomial and rational functions, trigonometric functions, and logarithmic and exponential functions.

This is a course that is offered virtually in addition to an in-person class. Students must complete the permission form and turn it in to their counselor. Teachers will communicate expectations regarding classwork and testing in the course syllabus. 

CALCULUS 

02120G1000

Grade Level: 12

Prerequisite: Precalculus 

Recommendation: 80% average or higher in Precalculus

Calculus is the study of rates of change and the accumulation of quantities and focuses on three main branches of study: limits, differentiation, and integration. Within these contexts students will explore polynomial, logarithmic, exponential, rational, trigonometric, and other functions, as well as their applications in depth. Topics include the tangent line problem, properties of limits, rules of differentiation, related rates, optimization, curve sketching with first and second derivatives, business applications, definite and indefinite integrals, integration by parts, areas between curves, and volumes of solids of revolution. Although there is a strong emphasis on hand calculation, the use of a graphing calculator is required (TI-84 is recommended).

APPLICATION OF FINITE MATHEMATICS

02136G1000

Grade Level: 12 

Prerequisite: Algebra II with Statistics 

Recommendation: 70% average or higher in Algebra II with Statistics

Applications of Finite Mathematics provides students with the opportunity to explore mathematics concepts related to discrete mathematics and their application to computer science and other fields and includes areas of study that are critical to the fast-paced growth of a technologically advancing world. The wide range of topics in Applications of Finite Mathematics includes logic, counting methods, information processing, graph theory, election theory, and fair division, with an emphasis on relevance to real-world problems. Logic includes recognizing and developing logical arguments and using principles of logic to solve problems. Students are encouraged to use a variety of approaches and representations to make sense of advanced counting problems, then develop formulas that can be used to explain patterns. Applications in graph theory allow students to use mathematical structures to represent real world problems and make informed decisions. Election theory and fair division applications also engage students in democratic decision-making so that they recognize the power of mathematics in shaping society.

MATHEMATICAL MODELING

02137G1000

Grade Level: 12 Course Video

Prerequisite: Algebra II with Statistics

Mathematical Modeling is developed to expand on and reinforce the concepts introduced in Geometry with Data Analysis, Algebra I with Probability, and Algebra II with Statistics by applying them in the context of mathematical modeling to represent and analyze data and make predictions regarding real-world phenomena. Mathematical Modeling is designed to engage students in doing, thinking about, and discussing mathematics, statistics, and modeling in everyday life. It allows students to experience mathematics and its applications in a variety of ways that promote financial literacy and data-based decision-making skills. This course also provides a solid foundation for students who are entering a range of fields involving quantitative reasoning, whether or not they require calculus. 

AP PRECALCULUS  (+1.00 GRADE WEIGHT)

02110E1001

Grade Level: 11-12

Recommendations:

1. A score of 25 or higher on the self-assessment rubric

2. 85% average in current Advanced Level Algebra II with Statistics course

3. Students who desire the challenge of pursuing college course work at the high school level

Advanced Placement Precalculus is the study of polynomial, rational, exponential, logarithmic, trigonometric and polar functions.  Also studied are functions involving parameters, vectors and matrices.   Students will explore and be assessed in this course both with and without a graphing calculator.  This course requires mastery of a graphing calculator. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.

AP STATISTICS (+1.00 GRADE WEIGHT) 

02203E1000

Grade Level: 11-12

Recommendations:

1. A score of 25 or higher on the self-assessment rubric

2. 85% average in Advanced Level Algebra II with Statistics or a 90% in Algebra II with Statistics

3. Students who desire the challenge of pursuing college course work at the high school level

Advanced Placement Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course includes four broad conceptual themes:  exploring data, planning a study, anticipating patterns, and statistical inference. Students who successfully complete the course and AP examination may receive credit, advanced placement, or both for a one-semester introductory college statistics course. This course requires mastery of a graphing calculator. A TI-89 is preferred. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.

AP CALCULUS, AB (+1.00 GRADE WEIGHT)  

02124E1000

Grade Level: 12

Recommendations:

1. A score of 25 or higher on the self-assessment rubric

2. 85% average in AP Precalculus

3. Students who desire the challenge of pursuing college course work at the high school level

Advanced Placement Calculus AB is the study of limits, differentiation, integration, and their applications. Students will explore many types of functions both with and without the graphing calculator. This course is designed to prepare students to take the Advanced Placement examination at the AB level in the spring which provides the opportunity to earn up to one semester of credit in college calculus. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.

AP CALCULUS, BC (+1.00 grade weight)

02125E1000

Grade Level: 12

Recommendations:

1. A score of 25 or higher on the self-assessment rubric

2. 90% average in AP Precalculus

3. Students who desire the challenge of pursuing college course work at the high school level

Advanced Placement Calculus BC is the study of limits, differentiation, integration, and their applications. Students will explore all types of functions both with and without the graphing calculator. This course is designed to prepare students to take the Advanced Placement examination at the BC level in the spring which provides the opportunity to earn up to two semesters of credit in college Calculus. This course moves at a faster pace than AP Calculus AB, covers AP Calculus AB topics in more detail, and includes additional topics (such as sequences and series) not included in the AP Calculus AB curriculum. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.

IB MATH: APPLICATIONS AND INTERPRETATIONS  (+1.00 GRADE WEIGHT) 

02139E10SL

Grade Level: 11-12

Prerequisites:

1. See criteria under IB Program including IB Program Fees

2. A score of 25 or higher on the self-assessment rubric

IB Mathematics: Applications and Interpretations Standard Level is for students who wish to gain understanding and competence in how mathematics relates to the real world and to other subjects, i.e. those who are more inclined towards future study or work in humanities. students who are interested in developing their mathematics for describing our world and solving practical problems. They are interested in harnessing the power of technology  alongside exploring mathematical models. Topics include most ACT content and are divided into the following sections: Numbers and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and Calculus. This is a rigorous, college-level course that requires a conceptual understanding of topics to solve problems. Students are required to have a TI-84 calculator for use in this class before the end of the first week. As part of this course, all students will produce a math exploration paper and sit for the IB Math Applications and Interpretations SL exams.

IB MATH:  ANALYSIS AND APPROACHES (+1.00 GRADE WEIGHT)

02140E10SL

Grade Level: 11-12

Prerequisites

1. See criteria under IB Program including IB Program Fees

2. A score of 25 or higher on the self-assessment rubric

IB Mathematics: Analysis and Approaches Standard Level is for students who wish to study mathematics as a subject in its own right or to pursue their interests in areas related to mathematics, i.e. those who are more inclined towards future study or work in STEM. These are students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. They are fascinated by exploring real and abstract applications of these ideas, with and without technology. Topics include most ACT content and are divided into the following sections: Numbers and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and Calculus.  This is a rigorous, college-level course that requires a conceptual understanding of topics to solve problems. Students are required to have a TI-84 Plus calculator for use in this class before the end of the first week. As part of this course, all students will produce a math exploration paper and sit for the IB Math Analysis and Approaches SL exams in May.

MTH 112  PRECALCULUS ALGEBRA (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT

02999C1002

Grade Level: 11-12

Prerequisite: Algebra II with Statistics and with an appropriate mathematics placement score.

Requirements: 20 or above on the math section of the ACT and earn a “B” or higher in Algebra II with Statistics  or Precalculus

Recommended: Algebra II with Statistics Advanced Level or Precalculus  and earn a “B” or higher

This is a semester course.

The first semester course emphasizes the algebra of functions – including polynomial, rational, exponential, and logarithmic functions. The course also covers systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Additional topics may include matrices, Cramer’s rule, and mathematical induction. This course satisfies the requirements for a specialized math.

MTH 113  PRECALCULUS TRIGONOMETRY (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT

02999C1003

Grade Level: 11-12

Prerequisite: Algebra II with Statistics and with an appropriate mathematics placement score.

Requirements: 20 or above on the math section of the ACT and earn a “B” or higher in Algebra II with Statistics  or Precalculus

Recommended: Algebra II with Statistics Advanced Level or Precalculus and earn a “B” or higher

This is a semester course.

The second semester course emphasizes trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre’s theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. This course satisfies the requirements  for a specialized math.

MTH 110 FINITE MATH (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT

02999C1001

Grade Level: 12 

This is a semester course. This course will be offered as a virtual option. 

Prerequisite: "C" or higher in Algebra II with Statistics or Precalculus and a 18 or higher on the ACT Math Score.

This course is intended to give an overview of topics in finite mathematics together with their applications, and is taken primarily by students who are not majoring in science, engineering, commerce, or mathematics. This course will draw on and significantly enhance the student's arithmetic and algebraic skills. The course includes sets, counting, permutations, combinations, basic probability (including Bayes’ Theorem), and introduction to statistics (including work with binomial distributions and normal distributions), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications.  Depending on request,  this course may be face to face, or  it may be in a virtual format. This course satisfies the requirements  for a specialized math.

MTH 120  CALCULUS AND ITS APPLICATIONS (BUSINESS CALCULUS) (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT

02999C1021

Grade Level: 12

Prerequisite: "C" or higher in Precalculus or Calculus and a 20 or higher on the ACT Math Score.

This is a semester course.

This course is intended to give a broad overview of calculus and is taken primarily by students planning to major in commerce and/or business. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course should include functions of several variables, partial derivatives (including applications), Lagrange multipliers, L'Hopital's rule, and multiple integration (including applications). This course satisfies the requirements  for a specialized math.

MTH 125: CALCULUS I  (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT  

02999C1005

Grade Level: 12

Prerequisite: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a “C” or higher MTH 113 

This is a semester course. Currently this course is offered at RC3 only.

This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus. This course satisfies the requirements  for a specialized math.

MTH 126: CALCULUS II  (+0.50 GRADE WEIGHT)- DUAL ENROLLMENT  

02999C1006

Grade Level: 12

Prerequisite: A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a “C” or higher MTH 125.

This course is offered at RC3 only. This is a semester course.

This course is the second of three courses in the basic calculus sequence. Topics include vectors in the plane and in space, lines and planes in space, applications of integration (such as volume, arc, length, work and average value), techniques of integration, infinite series, polar coordinates, and parametric equations. This course satisfies the requirements  for a specialized math.

AP COMPUTER SCIENCE PRINCIPLES (+1.00 GRADE WEIGHT) 

10019E1000

Grade Level: 10-12   Course Video

Recommendations: 

1. A score of 25 or higher on self-assessment rubric

2. Students who desire the challenge of pursuing college course work at the high school level

3. Students should have completed Algebra I or Accelerated Math 7 & Accelerated Math 8

AP Computer Science Principles can earn a CTE, Math, or Science credit.

AP Computer Science Principles introduces students to the central ideas of computer science, instilling the ideas and practices of computational thinking and inviting students to understand how computing changes the world. The rigorous course promotes deep learning of computational content, develops computational thinking skills, and engages students in the creative aspects of the field. The course is unique in its focus on fostering students to be creative. Students are encouraged to apply creative processes when developing computational artifacts and to think creatively while using simulations to explore questions that interest them. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.

AP COMPUTER SCIENCE A  (+1.00 GRADE WEIGHT) 

10157E1000

Grade Level:  11-12 Course Video

Prerequisite:  Algebra II with Statistics 

Recommendations: 

1. A score of 25 or higher on self-assessment rubric

2. Students who desire the challenge of pursuing college course work at the high school level

3. Students should have completed Algebra I or Accelerated Math 7 & Accelerated Math 8

AP Computer Science Principles can earn a CTE, Math, or Science credit.

AP Computer Science (APCS) emphasizes the development of computer programs that correctly solve a given problem using the Java programming language.  Students will learn to design and implement solutions to problems by writing, running and debugging computer programs using algorithms and data structures.  Additionally, students will learn to read and understand large programs and recognize the ethical and social implications of computer use. Advanced Placement courses are rigorous, college-level courses. Students are required to take the end-of-course exam in May. See the Hoover City Schools fee schedule for exam fees.