Grade 12 - Mathematics

AP: Calculus AB (Credit: 1.00)

In AP Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Instead of simply getting the right answer, students learn to evaluate the soundness of proposed solutions and to apply mathematical reasoning to real-world models. Calculus helps scientists, engineers, and financial analysts understand the complex relationships behind real-world phenomena. The equivalent of an introductory college-level calculus course, AP Calculus AB prepares students for the AP exam and further studies in science, engineering, and mathematics. This course has been authorized by the College Board® to use the AP designation. Course Materials Semesters 1 and 2: Required TI-84 Plus, TI-83, or TI-83 Plus Calculator Read "Getting Started" and chapter 1 in the TI Guidebook before the course starts. Semesters 1 and 2: Optional Calculus: Single Variable, 8th ed. James Stewart (Brooks/Cole, 2016). ISBN-10: 1305266633 / ISBN-13: 9781305266636 Acceptable alternate: 7th ed. (2012). ISBN-10: 0538497831 Acceptable alternate: 6th ed. (2008). ISBN-10: 0495011614 Acceptable alternate: 5th ed. (2003). ISBN-10: 0534393667 Acceptable alternate: 4th ed. (1999). ISBN-10: 0534355625 Calculus of a Single Variable, 2nd ed. Jeffery A Cole, Michael Olinick, Dennis Pence, and Earl W. Swokowski (PWS, 1994). ISBN-10: 0534939244 This book is out of print but you may find it used. It is interchangeable with the Stewart text listed above. Cracking the AP Calculus AB & BC Exams, 2014 ed. David S. Kahn (Princeton Review, 2012). ISBN-10: 0307946185 / ISBN-13: 9780307946188 Acceptable alternate: 2012 ed. ISBN-10: 0307944867 Acceptable alternate: 2009 ed. ISBN-10: 0375428852 Acceptable alternate: 2008 ed. ISBN-10: 0375766413 Acceptable alternate: 2006–2007 ed. ISBN-10: 0534355625

AP: Calculus AB Semester 1 (Credit: 0.50)

This course is only semester 1 of AP Calculus AB.

AP: Calculus AB Semester 2 (Credit: 0.50)

This course is only semester 2 of AP Calculus AB.

AP: Statistic Semester 1 (Credit: 0.50)

This course is only semester 1 of AP Statistics.

AP: Statistic Semester 2 (Credit: 0.50)

This course is only semester 2 of AP Statistics.

AP: Statistics (Credit: 1.00)

AP Statistics gives students hands-on experience collecting, analyzing, graphing, and interpreting real-world data. They will learn to effectively design and analyze research studies by reviewing and evaluating real research examples taken from daily life. The next time they hear the results of a poll or study, they will know whether the results are valid. As the art of drawing conclusions from imperfect data and the science of real-world uncertainties, statistics plays an important role in many fields. The equivalent of an introductory college-level course, AP Statistics prepares students for the AP exam and for further study in science, sociology, medicine, engineering, political science, geography, and business. This course has been authorized by the College Board to use the AP designation. Course Materials Semesters 1 and 2: Required TI-89, TI-84 Plus, TI-83, or TI-83 Plus Calculator Read "Getting Started" and chapter 1 in the TI Guidebook before the course starts. Semesters 1 and 2: Optional Barron's AP Statistics, 8th ed. Martin Sternstein (Barron's, 2015). ISBN-10: 1438004982 / ISBN-13: 9781438004983 Acceptable alternate: 7th ed. (2013). 1438002025 / ISBN-13: 9781438002026 Acceptable alternate: 6th ed. (2012). ISBN–10: 0764147021 Acceptable alternate: 5th ed. (2010). ISBN–10: 0764140892 Acceptable alternate: 4th ed. (2008). ISBN-10: 0764136836 Introduction to Probability & Statistics, 14th ed. William Mendenhall, Robert J. Beaver, and Barbara M. Beaver (Brooks/Cole, 2015). ISBN-10: 1133103758 / ISBN-13: 9781133103752 Acceptable alternate: 13th ed. (2009). ISBN-10: 0495389536 Acceptable alternate: 12th ed. (2006). ISBN-10: 0534418708 Acceptable alternate: 11th ed. (2003). ISBN-10: 0534395198

Core: Algebra II (Credit: 1.00)

Algebra I builds students' command of linear, quadratic, and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include problem-solving with basic equations and formulas; an introduction to functions and problem solving; linear equations and systems of linear equations; exponents and exponential functions; sequences and functions; descriptive statistics; polynomials and factoring; quadratic equations and functions; and function transformations and inverses. This course supports students as they develop computational fluency, deepen conceptual understanding, and apply mathematical knowledge. Students discover new concepts through guided instruction and confirm their understanding in an interactive, feedback-rich environment. A variety of activities allow for students to think mathematically in a variety of scenarios and tasks. In Discussions, students exchange and explain their mathematical ideas. Modeling activities ask them to analyze real-world scenarios and mathematical concepts. Journaling activities have students reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. And in Performance Tasks, students synthesize their knowledge in novel, real-world scenarios, make sense of multifaceted problems, and persevere in solving them. This course is built to state standards. Throughout the course, students are evaluated by a variety of assessments designed to prepare them for the content, form, and depth of state exams.

Core: Algebra II Semester 1 (Credit: 0.50)

This course is only semester 1 of Algebra II.

Core: Algebra II Semester 2 (Credit: 0.50)

This course is only semester 2 of Algebra II.

Core: Mathematics III (Credit: 1.00)

Mathematics III incorporates advanced functions, trigonometry, and probability and statistics as students synthesize their prior knowledge and solve increasingly challenging problems. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include formulating inferences and conclusions from data; polynomial, rational, and radical relationships; trigonometry of general triangles and trigonometric functions; and mathematical modeling. This course supports all students as they simultaneously develop computational fluency, deepen conceptual understanding, and apply Common Core's eight mathematical practice skills. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them. Throughout the course students are evaluated through a diversity of assessments specifically designed to prepare them for the content, form, and depth of the Common Core assessments. This course is aligned with the Common Core State Standards for Mathematics.

Core: Mathematics III Semester 1 (Credit: 0.50)

This course is only semester 1 of Mathematics III.

Core: Mathematics III Semester 2 (Credit: 0.50)

This course is only semester 2 of Mathematics III.

Core: Precalculus (Credit: 1.00)

Precalculus is a course that combines reviews of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers. Within each Precalculus lesson, students are supplied with a post-study "Checkup" activity, providing them the opportunity to hone their computational skills by working through a low-stakes problem set before moving on to a formal assessment. Unit-level Precalculus assessments include a computer-scored test and a scaffolded, teacher-scored test. The content is based on the National Council of Teachers of Mathematics (NCTM) standards and is aligned to state standards. Course Materials Semesters 1 and 2:Required TI-84 Plus, TI-83, or TI-83 Plus Calculator Read the "Graphing Calculators" section in the course Appendix A: Student Resources and chapter 1 in the TI Guidebook before the course starts.

Core: Precalculus Semester 1 (Credit: 0.50)

This course is only semester 1 of Precalculus.

Core: Precalculus Semester 2 (Credit: 0.50)

This course is only semester 2 of Precalculus.

Honors: Algebra II (Credit: 1.00)

Algebra II is a comprehensive course that builds on the concepts covered in Algebra I and prepares students for advanced-level courses. Through a "Discovery-Confirmation-Practice"-based exploration of intermediate algebra concepts, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge in a variety of problem-solving applications. Course topics include conic sections; functions, relations, and their graphs; quadratic functions; inverse functions; and advanced polynomial functions. Students also cover topics relating to rational, radical, exponential, and logarithmic functions; sequences and series; and data analysis and probability. Within each Algebra II lesson, students are supplied with a post-study Checkup activity that provides them the opportunity to hone their computational skills in a low-stakes, 10-question problem set before moving on to a formal assessment. Additionally, many Algebra II lessons include interactive-tool-based exercises and math explorations to further connect lesson concepts to a variety of real-world contexts. The content is based on the National Council of Teachers of Mathematics (NCTM) standards and is aligned with state standards.

Honors: Algebra II Semester 1 (Credit: 0.50)

This course is only semester 1 of Honors Algebra II.

Honors: Algebra II Semester 2 (Credit: 0.50)

This course is only semester 2 of Honors Algebra II.

Honors: Precalculus (Credit: 1.00)

Precalculus is a comprehensive course that weaves together previous study of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers. Within each Precalculus lesson, students are supplied with a post-study Checkup activity that provides them the opportunity to hone their computational skills in a low-stakes problem set before moving on to formal assessment. Additionally, connections are made throughout the Precalculus course to calculus, art, history, and a variety of other fields related to mathematics. The content is based on the National Council of Teachers of Mathematics (NCTM) standards and is aligned with state standards. Course Materials Semesters 1 and 2: Required TI-84 Plus, TI-83, or TI-83 Plus Calculator Read the "Graphing Calculators" section in the course Appendix A: Student Resources and chapter 1 in the TI Guidebook before the course starts.

Honors: Precalculus Semester 1 (Credit: 0.50)

This course is only semester 1 of Honors Precalculus.

Honors: Precalculus Semester 2 (Credit: 0.50)

This course is only semester 2 of Honors Precalculus.





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