Math Department

UNALIYI sophisticated level. The new topics include the applications of linear, quadratic, exponential, and logarithmic equations, systems of equations, exponential and logarithmic functions, and introductions to conic sections, probability, and statistics. Juniors completing this course may enroll in Algebra II/Trigonometry or Data Science their senior year. NOTE: that Juniors who take Algebra II in 11th grade and opt to take Algebra II/Trig in 12th grade will satisfy 3.5 years of math, while Data Science will satisfy 4 years of math for the UC requirements. This course meets the UC “c” requirement.

ALGEBRA II/TRIGONOMETRY– P - Grades 9, 10, 11, 12 Prerequisite: Completion of Algebra I and Geometry or Algebra II. Algebra I concepts are reviewed and taken to a more sophisticated level. New topics include the applications of linear, quadratic, exponential, and logarithmic equations, function transformations, rational expressions, polynomial functions, systems of equations, series, and statistics. The course also includes trigonometry including sine, cosine, and tangent functions and the Laws of Sine and Cosine. Special emphasis is placed on mathematical modeling, graphical representations, and investigations. Students who plan to continue taking IB or AP math courses should successfully complete Algebra II/Trigonometry rather than Algebra II. NOTE: The UC/CSU system requires Algebra II or Algebra II/Trigonometry for admissions. This course meets the UC “c” requirement.

DATA SCIENCE – P - Grade 12 Prerequisite: Completion of Algebra I and Geometry with a C- or better. The main goal of the course is to teach students to think critically about and with data. The Common Core State Standards (CCSS) for High School Statistics and Probability relevant to data science are taught along with the data demands of good citizenship in the 21st century. Students will learn about data science through project-based units. The units will give students opportunities to ask questions of data, developing their understanding of data analysis, sampling, correlation/ causation, bias and uncertainty, modeling with data, making and evaluating data-based arguments, and the importance of data in society. This course is pending SUHSD board approval and UC approval to meet the UC “c” requirement.

IB ANALYSIS SL – HP (OR IB ANALYSIS HL Y1 - HP) – Grades: 9, 10, 11, 12 Prerequisite: completion of Algebra II/Trig with a C- or better This course teaches analytic methods of mathematics with an emphasis on Calculus. Other topics include Number and Algebra, Functions, Geometry and Trigonometry, and Statistics and Probability. The class is appropriate for students who plan to go on to study mathematics, physics, engineering, or other subjects with substantial math content. At the end of this course, students may take the Standard Level IB exam, or take the Higher Level IB exam after one more year. This course meets the UC “c” requirement.

IB APPLICATIONS SL – HP (OR IB APPLICATIONS HL Y1 - HP) – Grades: 9, 10, 11, 12 Prerequisite: completion of Algebra II/ Trig with a C- or better This course has an emphasis on statistics, modeling, and use of technology. Other topics include Number and Algebra, Functions, Geometry and Trigonometry, and Calculus. The class is appropriate for students who plan to go on to study the social sciences, business, medicine, or statistics. At the end of this course, students may take the Standard Level IB exam, or take the Higher Level IB exam after one more year. This course meets the UC “c” requirement.

IB ANALYSIS HL Y2 - HP – Grades: 9, 10, 11, 12 Prerequisite: completion of IB Mathematics Analysis & Approaches HL Y1 with a C- or better. This course continues the topics from IB Mathematics Analysis & Approaches HL Y1, teaching all of them at a higher level. There is an emphasis on Calculus, but other topics include Number and Algebra, Functions, Geometry and Trigonometry, and Statistics and Probability. The class is appropriate for students who plan to go on to study mathematics, physics, engineering, or other subjects with substantial math content. At the end of this course, students may take the Higher Level IB exam and will also be prepared for the AP Calculus AB exam. This course meets the UC “c” requirement.

IB APPLICATIONS HL Y2 - HP – Grades: 9, 10, 11, 12 Prerequisite: completion of IB Mathematics Applications & Interpretation HL Y1 with a C- or better. This course continues the topics from IB Mathematics Applications & Interpretations HL Y1, teaching all of them at a higher level. There is an emphasis on Statistics and use of technology, but other topics include Number and Algebra, Functions, Geometry and Trigonometry, and Calculus. The class is appropriate for students who plan to go on to study the social sciences, business, medicine, or statistics. At the end of this course, students may take the Higher Level IB exam and will also be prepared for the AP Statistics exam. This course meets the UC “c” requirement.

SEQUOIA HIGH SCHOOL MULTIVARIABLE CALCULUS – P - Grade 12 Prerequisite: Completion of IB Analysis HL Y2 (to be offered in Fall 2021) This is an advanced transferable college level honors course that builds upon IB Math HL Y1 and Y2. Topics include parametric equations, polar coordinates, vector functions, partial derivatives, multiple integrals, vector calculus, and second-order differential equations. This course is for students who are planning to major in math or science related fields. This course may run in rotation with Ordinary Differential Equations and Linear Algebra. Students do not need to take these courses in any specific sequence.

ORDINARY DIFFERENTIAL EQUATIONS– P - Grade 12 Prerequisite: Completion of IB Analysis HL Y2 (to be offered Spring 2022) This is an advanced college level honors course that builds upon IB Analysis HL Y1 and Y2. Topics include first order differential equations, systems of two first order equations, second order linear equations, LaPlace transforms, and nonlinear systems of equations and stability. This course may run in rotation with Multivariable Calculus and Linear Algebra. Students do not need to take these courses in any specific sequence.

NOTE: P = the course is approved by the University of California to meet the a-g requirements. HP = the course is approved by the University of California to meet the a-g requirements and is considered an honors course. + = meets the Career Technical Education (CTE) requirement for graduation.

BIOLOGY – P, BIOLOGY LEP – P, ACAD BIOLOGY – P & ACAD BIO HLTH – P - Grades 9, 10, 11, 12 In this lab science course, students explore biological concepts that build comprehension around two driving questions: What connections exist between the living and nonliving components of our changing Earth? and How and in what ways do organisms, including humans, depend on and impact the environment? Using the guidance of the CA Science Framework’s High School 3-Course Model, Sequoia High School Biology integrates both Life Science and Earth and Space Science performance expectations. Earth and Space Science concepts are integrated in a strategic way, designed to deepen student understanding of life on Earth and the interactions between the biotic and abiotic systems. Throughout the course, students build an understanding of life and how life changes over time in response to a changing environment. Central to this understanding is the study of interactions of living organisms and their environments on both macroscopic and microscopic scales. The UC requires two year of lab science for admissions eligibility. California State Universities require one year of a Biological Science and one year of a physical science (Chemistry or Physics). Biology meets the UC “d” requirement.

GEN SCIENCE I - NEP pending description

HUMAN BIOLOGY – P & HUMAN BIOLOGY-HCA – P - Grades 11, 12 Recommendation: C- or better in Biology, Chemistry, or Physics Human Biology is a course that focuses on the anatomy and physiology of the human body. The structures and functions of various organ systems are studied. Students will explore a variety of areas including diseases, health and fitness, medicine, and environmental issues that affect the human body by doing lab activities, researching current scientific articles, and working collaboratively in group projects. Human Biology meets the UC “d” requirement.

CHEMISTRY – P, ACAD CHEMISTRY – P, ACAD CHEM HLTH – P & CHEMISTRY LEP – P - Grades 10, 11, 12 Recommendation:

Pass Algebra I with C- or better

A rigorous one-year college preparatory lab course that studies matter and the changes of matter. Chemistry concepts will be introduced through explanation, discussion and discovery labs. An emphasis is placed on experimental data analysis, problem solving skills, and qualitative and quantitative observations. The principles of general chemistry will be examined through explanation, discussion and quantitative laboratory work. The applications of chemistry in daily lives and health science are also an integral part of each unit. Chemistry meets the UC “d” requirement. The California State Universities require one year of a Physical Science for admissions eligibility. 28

UNALIYI PHYSICS – P & ACAD PHYSICS – P – Grades 9, 10, 11, 12 Recommendation: The ability to isolate a variable in a three term equation Students must be prepared to work independently and have strong time management habits before they take this course. This course prepares students for IB Physics or the advanced science course of their choosing. The course follows a logical, sequential development of the basic principles of physics through extensive laboratory-centered experiences that also emphasize analysis and computational skills. There is a strong emphasis on the direct application of physics to daily lives. Physics meets the UC “d” requirement. The California State Universities require one year of a Physical Science for admissions eligibility.

IB PHYSICS – HP – Grades 11, 12 Prerequisite: Successful completion of physics or passing department placement exam, and concurrent enrollment in Algebra II/Trig or higher. IB Physics is an introduction to college freshman-level trigonometry-based mechanics, waves, electricity and magnetism, and modern physics. Large emphasis placed on strong experimental design, technique, and analysis. IB Physics meets the UC “d” requirement.

IB BIOLOGY HL – HP - Grades 11, 12 (Note: 2 Year Course) Prerequisite: Successful completion of 2 lab-science courses, including completion of Chemistry with a grade of C- or higher in the 10th grade. This two-year science course covers content from the first two years of college-level biology. The broad topics covered include Molecular Biology, Genetics, Ecology, Evolution, Human Physiology and Plant Biology. In addition to increasing the students’ factual understanding, the course will require that they take all this information, use and apply it to novel problems. The students will be asked to formulate critical questions, transform these questions into testable hypotheses, and present their findings using appropriate scientific vocabulary and information technology. Also, students will be expected to use what they know to establish positions on ethical issues in biology, to consider diverse scientific perspectives, and to appreciate the international nature of doing biological research. IB Biology HL meets the UC “d” requirement.

IB ENVIRONMENTAL SYSTEMS & SOCIETIES – HP – Grades 11, 12 Prerequisite: Successful completion of 2 lab-science courses, including completion of Biology with a C- or higher AND completion of Chemistry or Physics with a C- or higher. A rigorous, one-year, college-level science course that provides students with a coherent perspective on the environment. The emphasis is on the scientific details of the local and global environment with fieldwork and hands-on lab experiences. The course is trans-disciplinary and satisfies both IB groups 3 and 4; students will draw on concepts from the natural sciences and apply this scientific understanding to political and social issues. Students will be expected to use what they know to establish positions on public policy, consider diverse environmental perspectives, and develop an appreciation for the international nature of resolving major environmental issues. IB Environmental Systems & Societies meets the UC “d” requirement.

+CTE BIOTECHNOLOGY I-II – P & BIOTECHNOLOGY I-II – P – Grades 11, 12 Recommendation: C- or better in BIOLOGY 2nd semester, comfortable working independently to complete a rigorous lab procedure or IB Biology Year 1 with a grade of C- or better. A one-year laboratory course consisting of two semesters that serves as an introduction to the field of biotechnology. Includes concepts and vocational information. Students will develop laboratory, critical thinking, and communication skills currently used in the biotechnology industry. Through extensive research and workplace experience, students will evaluate career opportunities in the field of biotechnology. As a part of the biotechnology pathway, students will enroll in Introduction to Biotechnology 1; the next semester they will take Biotechnology 2. This course is a great hands-on application of biological concepts and can be taken concurrently with IB Biology Year 2. Biotechnology meets the UC “d” requirement.