Mathematics
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Student Decision Tree for Mathematics
Student Decision Tree for Mathematics
HONORS ALGEBRA I
Full year
Credit: 0.50 per semester
Grade: 9
Prerequisite: Completion of Math 8 and qualifying scores on placement test
Ohio State Tested Course: Competency
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Algebra I Honors is a course that focuses on the order of operations, number sets, writing, solving, and graphing linear equations and inequalities. Linear and nonlinear functions, including function notation and domain and range are introduced to students in great depth for exponential functions and quadratic functions. Students will explore quadratic functions in multiple forms, including factoring and solving quadratic equations. The year will include a unit covering statistics. . A scientific calculator is required for this course, preferably the TI-30XIIS.
*This course is designed to support students to be successful in working towards an accelerated pace so that they are better prepared for the honors track at the high school.
ALGEBRA I
Full year
Credit: 0.50 per semester
Grade: 9
Prerequisite: None
Ohio State Tested Course: Competency
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Algebra 1 is a course that focuses on order of operations, number sets, writing, solving, and graphing linear equations and inequalities. Linear and nonlinear functions, including function notation and domain and range are introduced to students in great depth. The course also includes writing and solving systems of equations and inequalities. Work with functions continues in greater depth for exponential functions, and quadratic functions. Students will explore quadratic functions in multiple forms, including factoring and solving quadratic equations. The year will include a unit covering statistics. A scientific calculator is required for this course, preferably the TI-30 XII S.
GEOMETRY
Full year
Credit: 0.50 per semester
Grade: 9-10
Prerequisite: Algebra I
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Geometry is a course, which includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, area, volume, similarity and congruence, trigonometry, and circles. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Students will be required to use different technological tools and manipulatives to discover and explain much of the course content. A scientific calculator is required for this course.
HONORS GEOMETRY
Full year
Credit: 0.50 per semester
Grade: 9-10
Prerequisite: Completion of Honors Algebra I or Algebra I.
Highly Recommended: B or better in Honors Algebra or A in Algebra I
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Honors Geometry is a course, which includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, area, volume, similarity and congruence, trigonometry, and circles. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Students will be required to use different technological tools and manipulative to discover and explain much of the course content. A scientific calculator is required for this course.
ALGEBRA II
Full year
Credit: 0.50 per semester
Grade: 11
Prerequisite: Algebra I and Geometry
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Algebra II is a course designed to incorporate the Common Core State Standards, providing students with a rigorous study of intermediate algebra techniques and an introduction to advanced techniques. This course begins with the study of linear relationships and a renewal of basic techniques mastered in Algebra I. First semester study is devoted to the progression from linear to quadratic to polynomial algebra. Students learn to work extensively with radical expressions and complex numbers are introduced, as are matrices. Second semester students extend the work of first semester through work with rational expressions and conic sections, and techniques for working with exponential, logarithmic, and trigonometric functions are introduced. A graphing calculator is required for this course, preferably the TI-83 Plus or TI-84.
HONORS ALGEBRA II
Full year
Credit: 0.50 per semester
Grade: 10-11
Prerequisite: Completion of Honors Geometry or Geometry
Highly Recommended: B or better in Honors Geometry or all A's in Geometry
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Honors Algebra II is a course designed to incorporate the Common Core State Standards. It is designed for the student with high math abilities. The course begins with a basic review of Algebra I concepts, explores the solutions of higher order equations and covers extensively the use of matrices in solving linear systems. The course also includes topics of powers and roots, exponential functions, logarithmic functions, and trigonometric functions, rational equations, analytic geometry, and sequences and series. A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84.
ALGEBRAIC REASONING
Full year
Credit: 0.50 per semester
Grade: 12
Prerequisite: Alg. II
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First semester students will review many of the topics covered in Algebra II including linear and quadratic functions, factoring, polynomial functions, inequalities, matrices, system of equations, and rational functions. Second semester students will cover vectors (2-dimensional and 3-dimensional), exponential and logarithmic functions, sequences and series, conic sections, and trigonometry. A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84.
PRECALCULUS
Full year
Credit: 0.50 per semester
Grade: 12
Prerequisite: "C" or better in Algebra II
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Students in Precalculus will start the year looking at trigonometric functions including equations and graphs, triangle trigonometry, trigonometric identities, applications of trigonometry, Law of Sines and Law of Cosines, and polar coordinates. Additional topics include 2- and 3-dimensional vectors, functions and their graphs, systems of equations, matrices, quadratic functions, complex numbers, exponential and logarithmic functions, sequences and series, and probability. The year will end with an introduction to limits and derivatives (if time). A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84.
This course is intended for students pursuing a college path or career related to STEM. Se Career Clusters Organized b Mathc Courses document linked above.
HONORS PRECALCULUS
Full year
Credit: 0.50 per semester
Grade: 11-12
Prerequisite: Completion of Honors Alg. II or Alg. II
Highly recommended: "B" or better in Honors Algebra II, or A's in Algebra II
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Students in Honors Precalculus will get an extensive look at trigonometric functions including equations and graphs, triangle trigonometry, trigonometry addition formulas and identities, in-depth applications of trigonometry, Law of Sines and Law of Cosines, and polar coordinates. Additional topics include 2- and 3-dimensional vectors, functions and their graphs, systems of equations, matrices, quadratic functions, complex numbers, exponential and logarithmic functions, sequences and series, and probability. If time permits, the year will end with an introduction to calculus including limits and derivatives. A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84.
Video of Honors vs. AP Calculus
HONORS CALCULUS vs. AP CALCULUS AB
HONORS CALCULUS
Full year
Credit: 0.50 per semester
Grade: 12
Prerequisite: Precalculus or Honors Precalculus
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This class is meant to prepare students to succeed in calculus during their first year of college. It is not meant to help students earn college credit but to give students a strong foundation in calculus. Topics covered first and second semester are limits and their properties, derivatives, applications of derivatives, integrals, logarithmic, transcendental functions, applications of integrals and methods of integration. A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84.
AP CALCULUS AB
Full year
Credit: 0.50 per semester
Grade: 12
Prerequisite: Honors Precalculus or Precalculus
Highly recommended: "B" or better in Honors Precalculus or "A"s in Precalculus
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All students who take this Advanced Placement course will be required to take the AP exam, which is administered by the College Board in May. There is a fee associated with the exam, which will be included in the student fees.
Students who sign up for AP Calculus AB should do so with the intention of placing out of a comparable college calculus course. It is highly recommended for students to have completed four years of high school honors mathematics courses (Algebra 1, Honors Geometry, Honors Algebra 2, and Honors Precalculus) before taking AP Calculus AB. The College Board curriculum is closely followed by covering analysis of graphs, limits of functions, asymptotic and unbounded behavior, continuity as a property of functions, concept of the derivative, derivative at a point, derivative as a function, second derivatives, applications of derivatives, computation of derivatives, interpretations and properties of definite integrals, applications of integrals, Fundamental Theorem of Calculus, techniques of anti-differentiation, applications of anti-differentiation, and numerical approximations to definite integrals. A graphing calculator is required for this course, preferably the TI 83 Plus of the TI 84, and/or any calculator permitted on the AP exam.
AP CALCULUS BC
Credit: 1.0
Prerequisite: Honors Precalculus
Highly recommended: AP Calculus AB
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All students who take this Advanced Placement course will be required to take the AP exam, which is administered by the College Board in May. There is a fee associated with the exam, which will be included in the student fees.
AP Calculus BC is designed to be the equivalent to both first and second semester college calculus courses. In addition to including all content from AP Calculus AB, AP Calculus BC applies the content and skills learned in AP Calculus AB to parametrically defined curves, polar curves, and vector-valued functions; develops additional integration techniques and applications; and introduces the topics of sequences and series.
This course may be taken after AP Calculus AB, or in place of AP Calculus AB. Students moving directly from Honors Precalculus must be ready to learn at a college pace, and will need a full mastery of algebra and a solid understanding of functions, including trigonometry.
STATISTICS
Full Year
Credit: 0.50 per semester
Grade: 12
Prerequisite: Geometry or equivalent
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This course will study the techniques used to facilitate the collection, organization, presentation, analysis, and interpretation of data. Both descriptive and inferential statistics will be covered. Topics such as measures of central tendency, measures of variation, probability, sampling techniques, normal distributions, and hypothesis testing will be explored. A graphing calculator is required for this course, preferably the TI 83 Plus or the TI 84. This course satisfies the credit requirement for Algebra 2.
Video of Mathematical Modeling & Reasoning
MATHEMATICAL MODELING & REASONING
Full year
Credit: 1.0
Grade: 10-12
Prerequisite: Geometry or equivalent
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The Mathematical Modeling and Reasoning course is designed to promote reasoning, problem-solving and modeling through thematic units focused on mathematical practices, while reinforcing and extending content in Number and Quantity, Algebra, Functions, Statistics and Probability, and Geometry. This course satisfies the credit requirement for Algebra 2.
DISCRETE MATHEMATICS/COMPUTER SCIENCE
Full Year
Credit: 1.0
Grade: 10-12
Prerequisite: Geometry or equivalent
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Acquiring foundational knowledge in Discrete Mathematics and basic programming skills are the primary objectives and outcomes of the Discrete Math/Computer Science course. It uses mathematical reasoning and computational thinking in the context of JavaScript and unplugged activities to learn concepts of Discrete Mathematics. Ohio’s Learning Standards related to Mathematics and Computer Science are taught along with the data demands of good citizenship in the 21st century. These habits and skills cut across disciplines and other languages, promote perseverance and provide a gateway to successful postsecondary education and a variety of careers. This course satisfies the credit requirement for Algebra 2
MATH I INTERVENTION
Full Year
Credit: 0.50 per semester Math
Grade: 9-10
Co-requisite: Algebra I
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Students may be assigned to this course in addition to Algebra I. This class will count as a math credit and will be graded Pass/Fail.
CCP MATH 1150—Intro to Statistics
1 Semester
Credit: 1.0 awarded at the completion of the course
Grade: 11-12
Prerequisite: Completion of Geometry and Algebra II; Meet College Credit Plus Requirements and be admitted to BGSU
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The main objective of MATH 1150 is to give the nonmathematical student an elementary introduction to the practice of statistics. This course will give insight into how a statistician gathers, summarizes, and draws conclusions from data. We are surrounded every day by numerical information and graphical material. At the end of the course, the student should be a critical consumer of this information.
MATH 1150 is an introductory statistics course and is taken by students in various colleges to satisfy programmatic requirements or for general background purposes.