# MATHEMATICS. The California Common Core State Standards for mathematics are available at: CONTENTS

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1 MATHEMATICS Mathematics is broadly defined as the study of numbers. The San Diego Unified School District s mathematics program is designed to provide fundamental skills and to educate each student to his or her optimum potential by developing his or her ability to understand and use mathematics. The curriculum is planned to present the content and structure of mathematics to meet the needs of a career-oriented society. Across grades TK 12, students build an understanding of the content, the conceptual strands of mathematics: number sense and operations; functions and algebra; measurement, geometry, and data analysis; and statistics and probability. In addition, they develop proficiency in the mathematical processes: quantitative literacy, computational fluency, problem solving, using representations, using reason and proof, communicating, and making connections. The processes are the tools and habits of mind people use when solving problems. STANDARDS Educational standards describe what students should know and be able to do in each subject in each grade. In California, the State Board of Education decides on the standards for all students, from kindergarten through grade 12. In 2010, California joined with what is now a group of 44 other states to adopt the same standards for mathematics and English language arts. These standards are called the Common Core State Standards (CCSS). Having the same standards helps all students get a good education, even if they change schools or move to a different state. Teachers, parents, and education experts designed the CCSS to prepare students for success in college and the workplace. The San Diego Unified School District began full implementation of the CCSS in the school year. The California Common Core State Standards for mathematics are available at: CONTENTS This section is divided into the following subsections: Elementary courses (grades TK 6), arranged by grade level, p. MATH-2 Secondary Mathematics Course Sequence, p. MATH-4 Middle-level courses (grades 5 8), arranged alphabetically, p. MATH-5 Senior high courses (grades 9 12), arranged alphabetically, p. MATH-8 MATH 1

11 Mathematics Students will be exposed to the content of the standard Integrated Math III course (4163, 4164) with the expectation that they will explore that content more deeply. They will bring together all their experiences with data, functions, and geometry to create models and solve contextual problems. They relate combinations and permutations to the binomial theorem. They expand their knowledge of complex numbers using trigonometry. Mathematics III: Integrated CME Project, SE, Pearson, MATHEMATICAL STUDIES SL 1-2 IB (4291, 4292) Prerequisites: None Site-adopted Course. Approved for San Diego International Studies and Mission Bay High Schools. This course is specific to these schools International Baccalaureate magnet program and is not available to other sites. the University of California s c (mathematics) subject-area This course is available only at standard level, and is equivalent in status to mathematics SL, but addresses different needs. It has an emphasis on applications of mathematics, and the largest section is on statistical techniques. It is designed for students with varied mathematical backgrounds and abilities. It offers students opportunities to learn important concepts and techniques and to gain an understanding of a wide variety of mathematical topics. It prepares students to be able to solve problems in a variety of settings, to develop more sophisticated mathematical reasoning, and to enhance their critical thinking. Each student completes an individual project, which is an extended piece of work based on personal research involving the collection, analysis, and evaluation of data. Students taking this course are well prepared for a career in social sciences, humanities, languages or arts. These students may need to utilize the statistics and logical reasoning that they have learned as part of this course in their future studies. MATHEMATICS HL1 1-2 IB (4195, 4196) Prerequisites: Concurrent enrollment in or completion of (grade B or better) Precalculus 1-2 Honors (4181, 4182). Site-adopted Course. Approved for San Diego International Studies and Mission Bay High Schools. This course is specific to these schools International Baccalaureate magnet program and is not available to other sites. the University of California s c (mathematics) subject-area Mathematics HL1 IB 1-2 is the first course in a twoyear course of study that prepares students to take the IB Higher Level (HL) exam in mathematics and satisfies the Group 5 (Mathematics) requirement for the International Baccalaureate diploma. It includes instruction in seven core topics algebra, functions and equations, circular functions and trigonometry, matrices, vectors, statistics and probability, and calculus and one optional topic (series and differential equations). MATHEMATICS HL2 1-2 IB (4173, 4174) Prerequisites: A grade of B or better in Precalculus 1-2 Honors (4181, 4182) and successful completion of Topics in Discrete Mathematics 1,2 (4185, 4186) ; weighted Site-adopted Course. Approved for San Diego International Studies and Mission Bay High Schools. This course is specific to these schools International Baccalaureate magnet program and is not available to other sites. Honors Preparatory Course (HP). This course meets This course represents the second year of a two-year course of study that prepares students to take the IB Higher Level (HL) exam in mathematics and satisfies MATH-11

13 Mathematics Mathematics III: Integrated CME Project, Pearson, District scope and sequence. PRECALCULUS 1-2 (4161, 4162) Prerequisites: Integrated Math III A-B (4163, 4164) or Integrated Math III A-B Advanced (4169, 4170) This course is normally offered only to grade 12 students and well-prepared grade 11 students. The course includes two semesters of integrated concepts of trigonometry and advanced algebra in such a form as to make them most useful for later study of analytic geometry and calculus. This course also includes an introduction to topics in discrete mathematics. Blitzer, Precalculus, 2nd ed., Pearson Prentice Hall, PRECALCULUS 1-2 HONORS (4181, 4182) Prerequisites: Integrated Math III A-B (4163, 4164) or Integrated Math III A-B Advanced (4169, 4170), weighted Honors Preparatory Course (HP). This course meets This course is offered to grade 11 students who have demonstrated superior achievement and motivation in mathematics. The course is designed to be a thirdyear course in algebra. It includes a strong treatment of trigonometry, limits, and algebraic functions. After successful completion of this course, the student will be prepared for the first course of calculus. Demana et al., Precalculus: Graphical, Numerical, Algebraic, 6th ed., Pearson Prentice Hall, STATISTICS 1-2 AP (4055, 4056) Prerequisites: Integrated Math III A-B (4163, 4164) or Integrated Math III A-B Advanced (4169, 4170) ; weighted Honors Preparatory Course (HP). This course meets AP Statistics is equivalent to an introductory, noncalculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is built around four themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. Starnes, The Practice of Statistics for the AP Exam, 5th ed., BFW/Freeman Press, STATISTICS AND DATA ANALYSIS 1-2 (4046, 4047) Prerequisites: Integrated Math III A-B (4163, 4164) or Integrated Math III A-B Advanced (4169, 4170) This course provides students in grades with another mathematics course option. In this course, students will be introduced to the major concepts of probability, interpretation of data, and statistical problem solving. Students will learn the course concepts through hands-on experimentation and investigation. They will analyze existing data as well as data collected through a survey, observational study or experiment. They will then display the data in different ways, analyze it, and draw conclusions based on the results. The four main components of the course are: exploring data, data collection, probability, and inference. MATH-13

14 Mathematics Rossman, Workshop Statistics: Discovery with Data and the Graphing Calculator, Key Curriculum Press, TOPICS IN DISCRETE MATHEMATICS 1,2 (4185, 4186) Prerequisites: Integrated Math III A-B Advanced (4169, 4170); or Integrated Math III A-B (4163, 4164) and either Precalculus 1-2 (4161, 4162) or Precalculus 1-2 Honors (4181, 4182) plus meeting the district s recommended criteria for placement Course duration: Two semesters Topics in Discrete Mathematics covers aspects of functions, matrices, statistics, and introductory calculus. This course is designed for students who have completed Precalculus 1-2 Honors or Precalculus 1-2 and choose not to take a calculus course in their senior years. Lial, Miller, and Greenwell, Finite Mathematics and Calculus with Applications, Addison-Wesley, MATH-14

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