Math Department Classes
MATHEMATICS
Integrated Math I 1/2, SDAIE M, (CSU/UC “c”)
Grade Level Option: 9
Prerequisite: None
Integrated Math 1 is the first course of a three course sequence including Integrated Math 1, Integrated Math 2, and Integrated Math 3. This course satisfies the California Common Core Standards for Integrated Math 1 and is intended for all ninth graders. Integrated Math 1 builds and strengthens students’ conceptual knowledge of functions, linear functions, equations, inequalities, sequences, basic exponential functions, systems of linear equations, systems of linear inequalities, one variable descriptive statistics, correlation and residuals, analyzing categorical data, mathematical modeling, and both coordinate and transformational geometries.
Integrated Math I Extension ½* EL
Grade Level Option: 9
Prerequisite: None
*Enrollment based on demonstrated mathematics Tier II Intervention need
Math I Extension is an elective, intervention class for students enrolled in Integrated Math I that need extra support. In this class, teachers use collaborative learning groups and other strategies to re-teach core concepts from the Math I course. Students have time to complete homework assignments, review critical concepts and build technical literacy in the computer lab as they work through the Math I online curriculum at their own pace.
Integrated Math II 1/2, SDAIE M, (CSU/UC “c”)
Grade Level Option: 10
Prerequisite: Integrated Math I
Integrated Math 2 is the second course of a three course sequence (Integrated Math 1, 2, 3). This course satisfies the California Common Core Standards for Integrated Math 2 and is intended for tenth graders. Math 2 introduces quadratic functions, comparing them to linear and exponential models from Math 1. Students use the Pythagorean Theorem from Math 1 to represent circles and parabolas. Students explore the complex number system during their exploration of quadratic equations. Students extend their statistical work from Math 1 by exploring probability models and prediction. Finally, students use similar triangles and right triangle trigonometry to solve real-world problems. Students also construct formal proofs and build up a series of crucial geometry theorems.
Integrated Math II Extension ½* EL
Grade Level Option: 10
Prerequisite: None
*Enrollment based on demonstrated mathematics Tier II Intervention need
Math II Extension is an elective, intervention class for students enrolled in Integrated Math II that need extra support. In this class, teachers use collaborative learning groups, adaptive software and other strategies to reinforce core concepts from the Math II course. Students receive support on homework/assignments, review critical concepts and build technical literacy in the computer lab as they work through the Math II online curriculum at their own pace.
Integrated Math III 1/2, SDAIE M, (CSU/UC-“c”)
Grade Level Option: 11
Prerequisite: Integrated Math II
Mathematics III is the third course of a three course integrated math sequence. For the Mathematics III course, instructional time will focus on the following critical areas: extend the laws of exponents to rational exponents; apply methods from probability and statistics to draw inferences and conclusions from data; expand understanding of functions to include polynomial, logarithmic, rational, and radical functions; expand trigonometry to include general triangles, radian measure, trigonometric functions whose domain is all real numbers; and consolidate functions and geometry to create models and solve contextual problems.
In this course, students delve deeper into the mathematics presented in Mathematics II. Students are introduced to rational functions and learn to compare them to linear, exponential, and quadratic functions that were studied in Mathematics I and II. Students will study trigonometric functions and apply this knowledge to model simple periodic phenomena. As students study higher mathematical topics, they focus on fluency and understanding of mathematical concepts graphically, numerically, algebraically, and verbally. This course pushes students to comprehend theoretical knowledge as well as applications of where and how they will be able to use their math knowledge as a tool for problem solving. Students who successfully complete this course will be prepared to take AP Statistics, pre-calculus, or calculus.
Accelerated Math I 1/2 M, (CSU/UC “c”)
Grade Level Option: 9
Prerequisite: Placement criteria used for initial recommendation- See Counselor
Accelerated Math 1 is the first course of a three course sequence including Accelerated Math 1, Accelerated Math 2, and Accelerated Math 3. This course satisfies the California Common Core Standards for Integrated Math 1 and is intended for accelerated, gifted and/or highly motivated ninth graders. Accelerated Math 1 builds and strengthens students’ conceptual knowledge of functions, linear functions, equations, inequalities, sequences, basic exponential functions, systems of linear equations, systems of linear inequalities, one variable descriptive statistics, correlation and residuals, analyzing categorical data, mathematical modeling, and both coordinate and transformational geometries. Special emphasis will be paid to enrichment activities, projects, mathematical discourse and development of critical thinking and analysis skills. No extra point for GPA calculation
Accelerated Math II 1/2 M, (CSU/UC “c”)
Grade Level Option: 10
Prerequisite: Accelerated Math I or Integrated Math 1
Accelerated Math 2 is the second course of a three course sequence (Accelerated Math 1, 2, 3). This course satisfies the California Common Core Standards for Integrated Math 2 and is intended for accelerated, gifted and/or highly motivated tenth graders. Accelerated Math 2 introduces quadratic functions and compares them to linear and exponential models from Accelerated Math 1. Students use the Pythagorean Theorem from Integrated Math 1 to represent circles and parabolas. Students explore the complex number system during their exploration of quadratic equations. Students extend their statistical work from Integrated Math 1 by exploring probability models and prediction. Finally, students use similar triangles and right triangle trigonometry to solve real-world problems. Students also construct formal proofs and build a series of crucial geometry theorems. Special attention will be paid to introducing trigonometry concepts such as: Law of Sines, Law of Cosines, the Unit Circle and graphs of trigonometric functions. Special emphasis will be paid to enrichment activities, projects, mathematical discourse and development of critical thinking and analysis skills. No extra point for GPA calculation
Accelerated Math III Honors 1/2 M, (CSU/UC “c”)
Grade Level Option: 11
Prerequisite: Accelerated Math II
Accelerated Math III Honors is the third course in a compacted, honors sequence that includes Accelerated Math I Honors and Accelerated Math II Honors. The compacted sequence is for advanced students and allows completion of the college preparatory math over two years with any remaining standards integrated into the pre-calculus curriculum. In this course students use graphing calculators and or other technology to address graphical analysis which is an essential element of the course. Modeling of functions and equations is extended from previous course work as a means of problem solving. In addition, extensive study of fundamental trigonometric identities and their applications along with analytical practices are at the focus in order to prepare students for the study of Calculus.
Each semester of this two semester course includes a comprehensive and cumulative final exam covering all critical topics for each unit of study for each term.
Trigonometry/Pre-Calculus 1/2 M, EL, (CSU/UC “c/g”)
Grade Level Option: 12
Prerequisite: Integrated Math III
The course covers the study of trigonometric and circular functions and graphs, trigonometric identities, law of sines and cosines, right triangle trigonometry, vectors, limits, polar and parametric equations, partial fractions, mathematical induction, and polynomials operations.
Statistics and Probability 1/2 M, EL, (CSU/UC “c/g”)
Grade Level Option: 12
Prerequisite: Integrated Math III
This course is an introduction to the study of probability, interpretation of data and fundamental statistical problem solving. It will provide students with a solid foundation in probability and the facility to process statistical information. The course content includes measures of central tendency, variability, normal curves, skewed distributions, and statistical inference. Probability of events will be modeled through simulation techniques. Use of technology will be emphasized.
Statistics 1/2 AP M, EL, (CSU/UC “c/g”)
Grade Level Option: 12
Prerequisite: Integrated Math III
This course introduces students to the major concepts and tools of collecting, organizing, presenting, analyzing, and drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploration of data, the planning of a study, anticipating patterns by producing models using probability and simulation, and statistical inference. Graphing calculators will be required. This course is designed to prepare students for the AP exam. This course receives special GPA “weighting.”
Elementary Calculus M, EL, (CSU/UC “c/g)
Grade Level Option: 12
Prerequisite: Integrated Math III
Students study functions, limits, continuity, differentiation and integration of rational polynomials, circular-exponential-logarithmic functions, inflection points, curve analysis, area between two curves, volume of revolution, and applications to problems in science.
Calculus AB 1/2 AP M, EL, (CSU/UC “c/g”)
Grade Level Option: 12
Prerequisite: Integrated Math III, Recommended: Accelerated Math III
Students study functions, limits, continuity, differentiation and integration of rational, polynomial, and exponential-logarithmic functions. Students also learn graph analysis, area between two curves, volume of revolution, and applications to problems in science. This course is designed to prepare students for the AP exam. This course receives special GPA “weighting.”
Calculus BC 1/2 AP M, EL, (CSU/UC “c/g”)
Grade Level Option: 12
Prerequisite: Integrated Math III, Recommended: Accelerated Math III
This course is the second of two entry-level college calculus classes. It includes the study of analysis of functional behavior, infinite series, Taylor’s series, parametric equations, arc length, multiple integration, differential equations, and dynamics of particle motion. Students enrolled take the Advanced Placement exam in May. This course receives special GPA “weighting.
Math Computer Programming M, EL, (CSU/UC“g”)
Grade Level Option: 10-12
This course will introduce computer programming by using the concepts of a few languages such as C++, Visual Basic, and Java. The course will also cover the basic concepts of computer networking.
Introduction to Data Science ½ M, EL, (CSU, UC-“c/g”)
Grade Level Option: 11-12
Prerequisite: Integrated Math II
This course is an introduction to both statistical analysis and computer science principles (coding). The course consists of a series of inquiry-driven lessons that encourage students to ask critical questions about their world, create surveys and collect data using technology and mobile devices. Students will analyze and visualize data using the “R” programming language used in academic research. Students will gain crucial critical thinking skills, become informed and conscientious consumers of data and leave the class with a broad set of 21st century skills that will prepare them for postgraduate study in STEM, social science or computer science fields.
Math In Engineering EL
Grade Level: 9, 10, 11, 12
Prerequisite: None
This elective math course allows students to think critically and work collaboratively in student teams. The course includes students participate in developing solutions to real world problems using engineering design process, emphasing mathematics contents.
*Currently this course is only offered at SGHS