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MATHEMATICS CURRICULUM |
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Title: |
310218 Exit Exam Mathematics |
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Prerequisite: |
Students scoring below standard on exit exam |
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Credit: |
1 Elective Unit (Not for Math Credit) |
Description: Exit Exam Mathematics is designed to assist students who have deficiencies in basic skills. This remedial program is a computer-assisted instructional program. The program is individualized to ensure that instructional time is focused on specific deficiencies of the learner. This course should be taken by students not meeting standard on the Exit Exam.
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Title: |
310121 Math Academic Assistance I |
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Prerequisite: |
Eighth Grade PACT scores below standard |
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Credit: |
1 Elective Unit (Not for Math Credit) |
Description: Math Academic Assistance I is
designed for ninth-grade students who may need or desire academic assistance in
math. The aim of this course is to
remediate students’ deficiencies as determined by having taken PACT in grade
eight. This course will cover number
and numeration systems; numerical and algebraic concepts and operations;
patterns, relationships, and functions; geometry and spatial sense; measurement;
and probability and statistics with emphasis on constructing and completing
charts, tables, and Venn diagrams; constructing and interpreting graphs;
solving problems and showing their work; writing explanations and conclusions;
and applying mathematics concepts to real-world situations.
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Title: |
310131 Math Academic Assistance II |
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Prerequisite: |
Below standard on MAT7 in grade nine or other ninth grade assessment |
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Credit: |
1 Elective Unit (Not for Math Credit) |
Description: Math Academic Assistance II is
designed for tenth-grade students who may need or desire academic assistance in
math. The aim of this course is to
remediate students’ deficiencies as determined by having taken PACT in grade
eight and/or other assessments in grade nine.
This course will cover number and numeration systems; numerical and
algebraic concepts and operations; patterns, relationships, and functions;
geometry and spatial sense; measurement; and probability and statistics with
emphasis on constructing and completing charts, tables, and Venn diagrams;
constructing and interpreting graphs; solving problems and showing their work;
writing explanations and conclusions; and applying mathematics concepts to
real-world situations.
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Title: |
314135 Mathematics for the Technologies I/ Applied Algebra A |
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Prerequisite: |
None |
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Credit: |
1 Unit |
Description: Mathematics for the Technologies I/Applied Algebra A is the first course of a three-year sequential program of mathematical studies focusing on the development of the student’s ability to understand and apply mathematics to solve realistic workplace problems. Emphasis is on active participation through appropriate project work, laboratory activities, group and individual assignments, discussion, practice, and exposition. Students are expected to use scientific calculators, graphing calculators and/or computers throughout the year.
Mathematics for the Technologies I will include instruction in the following areas: patterns, geometric figures, data, algebraic expressions, real numbers, equations, inequalities, matrices, rational and irrational numbers, variation, graphs, and polynomials.
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Title: |
314235 Mathematics for the Technologies II/ Applied Algebra B |
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Prerequisite: |
Mathematics for the Technologies I/ Applied Algebra A |
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Credit: |
1 Unit |
Description: Mathematics for the Technologies II/Applied Algebra B is the second course of a three-year sequential program of mathematical studies focusing on the development of the student’s ability to understand and apply mathematics to solve realistic workplace problems. Emphasis is on active participation through appropriate project work, laboratory activities, group and individual assignments, discussion, practice, and exposition. Students are expected to use scientific calculators, graphing calculators, and/or computers throughout the year.
Mathematics for the Technologies II/Applied Algebra B will include instruction in graphs, functions, and relations. A district end-of-course test will be given in this course.
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Title: |
319931 Fundamentals of Algebra I/ Part 1 |
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Prerequisite: |
None |
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Credit: |
1 Elective Unit (Not for Math Credit) |
Description: Fundamentals of Algebra I Part 1, which is the first half of a year-long Algebra course, includes a review of arithmetic, evaluating variable expressions, operations with matrices, field properties, solving and graphing linear equations and inequalities, slope, the equation of a line, and an introduction to probability and statistics. Emphasis will be placed on developing proportional reasoning and problem-solving strategies.
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Title: |
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Prerequisite: |
Fundamentals of Algebra I/ Part 1 |
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Credit: |
1 Unit |
Description: Applications of Algebra I/Part 2 is the second half of a year-long Algebra course. It is an extension of Fundamentals of Algebra I/Part 1. This course includes the study of systems of equations, exponents, radical expressions, polynomials, factoring techniques, solving quadratic equations, and probability and statistics. Emphasis will be placed on developing proportional reasoning, algebraic thinking, and problem-solving strategies. A district end-of-course test will be given in this course.
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Title: |
411131 Algebra I |
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Prerequisite: |
Recommended – “B” or better in previous math course |
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Credit: |
1 Unit |
Description: Algebra I is a rapidly paced course. Algebra I includes the study of variables, field properties, operations on matrices, slope, the equation of a line, solving and graphing linear equations and inequalities, polynomials, factoring techniques, solving quadratic equations, solving systems of linear equations, and probability and statistics. Applications will be emphasized throughout the course. A district end-of-course test will be given in this course.
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Title: |
314335 Mathematics for the Technologies III/ Applied Geometry |
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Prerequisite: |
Mathematics for the Technologies I and II |
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Credit: |
1 Unit |
Description: Mathematics for the Technologies III/ Applied Geometry is the third course in a three-year sequential program of mathematical studies focusing on the development of the student’s ability to understand and apply mathematics to solve realistic workplace problems. This course is designed for the student who plans to attend a two-year college or who plans to enter the world of work directly after graduating. The course will include instruction on points, lines, planes, angles, polygons, and circles as well as the study of right triangles and the trigonometric ratios. Students will study the properties and relationships of shapes including similarity and congruence. The course will emphasize applications and the use of problem-solving strategies. A district end-of-course test will be given in this course.
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Title: |
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Prerequisite: |
Algebra I or Math Tech II |
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Credit: |
1 Unit |
Description: Probability and Statistics includes the study of methods of data collection, how to organize data, the measure of central tendency, variation, sampling theory, hypothesis testing, and making inferences from samples. Emphasis will be placed on developing skills, which apply statistical methods in the decision-making process as well as on improving problem-solving skills.
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Title: |
412131 Geometry |
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Prerequisite: |
Grade of "C" or above in Algebra I or Fundamentals of Algebra I/ Part 1 and Applications of Algebra I/ Part 2 |
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Credit: |
1 Unit |
Description: Geometry includes the study of points, lines, planes, angles, polygons, and circles. The properties and relationships of shapes (including similarity and congruence) are studied as well as special properties of right triangles. In addition, students will study the trigonometric ratios, coordinate geometry, and transformations. This course stresses the use of deductive reasoning as well as the ability to think spatially. Emphasis is placed on applications including perimeter, area, and volume. A district end-of-course test will be given in this course.
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Title: |
412141 Geometry/Honors |
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Prerequisite: |
Algebra I with a "B" average or better |
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Credit: |
1 Unit |
Description: Geometry/Honors is a rigorous course intended for the student who has a thorough understanding of arithmetic and algebra. This course is rapidly paced. This course stresses the use of deductive reasoning with an emphasis on developing the concept of formal proofs. Algebra skills are applied to solving problems involving geometric ideas. The course includes the study of points, lines, planes, angles, polygons, similarity, congruence, geometric inequalities, coordinate geometry, right triangle trigonometry, the properties and relationships of shapes, and transformations. Applications will include problems involving perimeter, area, and volume. A district end-of-course test will be given in this course.
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Title: |
411231 Algebra II |
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Prerequisite: |
Geometry |
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Credit: |
1 Unit |
Description: Algebra II includes a study of the properties of the real number system, equations, functions, relations, graphs, polynomial and rational expressions, quadratic equations, inequalities, exponents, complex numbers, conic sections, matrices, and logarithms.
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Title: |
411241 Algebra II/Honors |
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Prerequisite: |
Geometry/Honors with a "B" average or better |
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Credit: |
1 Unit |
Description: Algebra II/Honors includes the study of functions and relations, systems of equations and inequalities, polynomial and rational expressions, exponents and radicals, quadratic equations, logarithms, conic sections, and matrices. The pace and depth of this course are accelerated in comparison to Algebra II. The use of graphing calculators will be strongly encouraged in this course.
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Title: |
413133 Advanced Algebra |
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Prerequisite: |
Algebra II |
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Credit: |
1 Unit |
Description: Advanced Algebra includes the study of polynomial, rational, radical, exponential, and logarithmic functions, inverses, conics, analytic and transformational geometry, curve sketching, inequalities, matrices, systems of equations, sequences and series, and vectors.
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Title: |
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Prerequisite: |
Algebra II/Honors |
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Credit: |
1 Unit |
Description: Pre-Calculus – Advanced Algebra/Honors includes the study of polynomial, rational, radical, exponential, logarithmic, absolute value, and step functions. Students will also study complex numbers, matrices, systems of equations, series and sequences, combinatorics, limits, inequalities, conic sections, and analytic and transformational geometry. Emphasis will be placed on applications and the rigorous development of ideas. Students are strongly encouraged to a have a graphing calculator and the operations manual.
Students who plan to take Calculus/AP must take this course.
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Title: |
413134 Trigonometry |
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Prerequisite: |
Advanced Algebra |
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Credit: |
1 Unit |
Description: Trigonometry will include the study of circular functions and trigonometric functions as well as applications involving trigonometric identities, equations, graphs, and inverses. Vectors, polar coordinates, limits, and differential calculus will also be studied.
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Title: |
413144 Pre-Calculus - Trigonometry/Honors |
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Prerequisite: |
Advanced Algebra/Honors |
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Credit: |
1 Unit |
Description: Pre-Calculus - Trigonometry/Honors is designed for the student who has successfully completed Pre-Calculus - Advanced Algebra/Honors and plans to take Calculus/AP. This course includes the study of circular functions and their properties and graphs, the inverse trigonometric functions, trigonometric equations and identities, parametric equations, vectors and their applications, the Law of Sines, and the Law of Cosines. In addition to these topics, students will study polar coordinates as well as techniques of curve sketching, the continued study of limits, and differential calculus.
Emphasis will be placed on applications and proof as well as the rigorous development of ideas. Students are strongly encouraged to have a graphing calculator and the operations manual. Students who plan to take Calculus/AP must take this course.
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Title: |
413139 Calculus I |
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Prerequisite: |
Advanced Algebra and Trigonometry |
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Credit: |
1 Unit |
Description: Calculus I includes the study of differential and integral calculus including the study of limits, functions, related rates, maxima and minima, area under a curve, volumes and other applications of the derivative and the integral. This course is designed for a student planning to attend a four-year college or university.
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Title: |
417051 Calculus AB/AP |
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Prerequisite: |
Advanced Algebra/Honors and Trigonometry/Honors and a grade of “A” or “B” in all honors math courses prior to Calculus/AP. |
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Credit: |
1 Unit |
Description: Calculus AB/AP is intended for students who have a thorough knowledge of analytic geometry, elementary functions, algebra, geometry, and trigonometry. This course will include instruction in differential and integral calculus topics that are typically included in an introductory college calculus course. Topics include related rates, optimization, numerical methods, growth and decay, area under a curve, and volume.
Students taking Calculus AB/AP are required to have a graphing calculator and are required to take the Advanced Placement Examination.
This course is designed for the student planning to attend a four-year college.
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Title: |
417259 Calculus BC/AP |
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Prerequisite: |
Calculus AB/AP with a grade of “C” or better average |
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Credit: |
1 Unit |
Description: Calculus BC/AP is intended for students who have a thorough knowledge of analytic geometry, elementary functions, algebra, geometry, and trigonometry. This course will include instruction in advanced topics involving differential and integral calculus. Other topics include parametric equations, vector equations, graphs in polar coordinates, sequences and series, indeterminate forms, improper integrals, and slope fields.
Students taking Calculus BC/AP are required to have a graphing calculator and will be required to take the Advanced Placement Examination.
This course is designed for the student planning to attend a four-year college.
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Title: |
417158 Statistics/AP |
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Prerequisite: |
Advanced Algebra |
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Credit: |
1 Unit |
Description: Statistics/AP is designed for the student who has a thorough understanding of Advanced Algebra and who is planning to attend a four-year college. This course will include instruction in exploratory analysis, planning and implementing a study, probability, and statistical inference.
Students taking Statistics/AP are required to have a graphing calculator with statistical capabilities. Students are required to take the Advanced Placement Examination.