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Courses Offered at El Rancho HS

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Math
Code Title Department Description
MA426


Business Math Math Seniors only.
Business Math is a two-semester course for seniors who need a third year of math and have chosen not to take an A-G Math class. Students will be taught to establish effective study habits, by keeping a schedule, and they will be required to keep and organize a three ring binder with class notes and work. Most students will use this class to strengthen their skills for placement tests given by Tech schools and Community colleges and strengthen their skills needed for success in Economics, a class requirement for seniors.
MA502


Calculus AB, Advanced Placement Math Fulfills "a - g" requirement.
Prerequisite: Precalculus Honors with a “C-“ or better
AP Calculus AB is a two-semester course for students who want to study college level calculus in high school. This course is for students who have earned a C- or better in Precalculus Honors. Topics included in this course are: limits, differentiation techniques, applications of differentiation, integration, applications of integration, and an introduction to differential equations and slope fields. Students are required to use a graphing calculator. The course includes an extensive preparation for the AP Calculus AB exam.
MA576


Calculus BC, Advanced Placement Math Prerequisite: AP Calculus AB with a “C-“ or better
AP Calculus BC is a two-semester course for students who have successfully completed AP Calculus AB. The course continues the students’ study of calculus with topics including: L’Hopital’s Rule, additional techniques of integration (integration by parts, partial fraction substitution, and trigonometric substitution), improper integrals, arc length, Euler’s Method, the Logistic differential equation, sequences and series, polar and parametric equations, and vectors. Students are required to use a graphing calculator. The course includes an extensive preparation for the AP Calculus BC exam.
AT462


Civil Engineering and Architecture Math PLTW Engineering
Prerequisites: “C” or better in a previous PLTW, Integrated Math II or higher, Chemistry, or Physics course. This course applies math, science and standard engineering practices so students may design both a residential and commercial project. Students will document their work and model their design using Autodesk Revit (a 3-D architectural design software).
AT476


Computer Science A, Advanced Placement Math AP Computer Science A is a two-semester course designed to help students master the basics of the Java computer programming language and to help them to discover the power of computer science through rewarding yet challenging concepts. Topics include Program Design and Algorithm Development; Code Logic, Implementation, Testing, and Documentation; and Ethical Computing.
AT475


Computer Science Principles, Advanced Placement Math Prerequisite: Integrated Math I (Algebra 1) with a “C-” or better
AP CSP is a two-semester course that introduces students to the essential ideas of Computer Science. While preparing for the AP CSP exam, students will have the opportunity to use Computer Science to address real-world issues that interest them. They will build and refine their skills in creative problem-solving, and will learn about internet structures, cyber security issues, and the global impacts of computing.
 
While programming is taught in the course, no previous experience is required, and it is only one among many aspects of computing that students will learn. Almost every field today—including business, law, medicine and science—requires an understanding of computing. The skills students learn in this course can be applied across a wide range of careers and disciplines.
MA571


Ethnic Stats Math Prerequisites: Must be an 11th or 12th grade student, C- or better in Integrated Math 2
Centering around Statistics and Probability, AIES will investigate reasons to the big question: Why do students of color and girls consistently do worse in mathematics than white males, including those who come from affluent families? What are the implications of these issues in adult life? Students will hone in on the issues of mathematical knowledge attainment in relation to disadvantaged students and the effects that occur in adult life that stem from being part of a minority in the United States. Students will use statistical concepts to determine whether data they find is statistically significant to make conclusions that are worthy of publication.
MA571


Ethnic Studies Statistics Math Prerequisite: Integrated Math 2 Centering around statistics and probability, this course will investigate reasons to the big question: Why do students of color and girls consistently do worse in mathematics than white males, including those who come from affluent families? What are the implications of these issues in adult life? Students will learn the essentials of statistics and probability in relation to disadvantaged students and the effects that occur in adult life that stem from being part of a minority in the United States. An example of topics explored includes stereotype threat and the school-to-prison pipeline.
MA560


Integrated Math 1 Math Integrated Math 1 is the first in a three course sequence including Integrated Math 1, 2 and 3. Integrated 1 is intended for ninth-graders and addresses the California Common Core Standards for high school math as outlined in the integrated course pathway in Appendix A of the CCSS math document. The course develops students’ understanding of functions, linear relationships, geometric transformations, systems of equations, sequences and bi-variate data analysis.
EN561


Integrated Math 2 Math Integrated Math 2 focuses on Geometry and Algebra. Geometry concepts covered include similarity, polygons, circles, areas, volumes, and an introduction to proofs and right triangle trigonometry. Algebra concepts covered include an introduction to functions, imaginary numbers, higher order polynomials, graphing of functions, and irrational expressions.
MA562


Integrated Math 2 Honors Math Prerequisites: B or better in Integrated Math 1 and Teacher Recommendation
Integrated Math 2 Honors is the second of three core mathematics courses required for college entrance. The course content covers the mathematical content as described in the Mathematics Framework for California Public Schools Integrated Pathway Model. Integrated Math 2 Honors focuses on Geometry and Algebra. Geometry concepts covered include similarity, polygons, circles, areas, volumes, and an introduction to proofs and right triangle trigonometry. Algebra concepts covered include an introduction to functions, imaginary numbers, higher order polynomials, graphing of functions, and irrational expressions. In this course, students will focus on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Mathematics 1. Rea; and complex numbers are introduced so that all quadratic equations can be solved. Probability and data are explored through conditional probability and counting methods including their use in making and evaluating decisions. Quadratics are connected through an understanding of similarity, right triangle trigonometry, and Pythagorean relationships. Circles and their algebraic representations round out the course.
MA578


Integrated Math 3 Math Prerequisites: C- or better in Integrated Math 2
Integrated Math 3 is the third of three core mathematics courses required for college entrance. The course content covers the mathematical content as described in the Mathematics Framework for California Public Schools Integrated Pathway Model. The focus of Integrated Mathematics 3 is on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems. The course emphasizes mathematical reasoning, problem solving, and communication through integration of the various strands and connections with other subject areas and real-life applications, use of technology, and exploratory and group activities.
MA569


Integrated Math 3 Honors Math Prerequisites: C or better in Integrated Math 2 Honors Integrated Math 3 Honors is the third of three core mathematics courses required for college entrance. The course content covers the mathematical content as described in the Mathematics Framework for California Public Schools Integrated Pathway Model. The focus of Integrated Mathematics 3 is on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems. The course emphasizes mathematical reasoning, problem solving, and communication through integration of the various strands and connections with other subject areas and real-life applications, use of technology, and exploratory and group activities. Honors means each topic will be explored with greater depth and breadth, and mastery is expected. Nearly every lesson includes additional questions, investigations and projects. Additional STEM and Pre-calculus standards have also been added to the curriculum.
MA570


Intro to Data Science Math IDS is a “C” approved mathematics course in the UC A-G requirements. As a statistics course, successful completion of IDS validates Integrated III. IDS is an excellent option for any student who possesses sufficient mathematical maturity and quantitative reasoning ability, and has successfully completed Integrated I. The best time to take IDS is after finishing both Integrated I and Integrated II. IDS is a rigorous course. It is for students who wish to: Develop their quantitative skills. Take a course that will prepare them for AP Statistics. Take an alternative high school mathematics pathway. Gain access to emerging fields that include Computational Data Analysis. Be engaged with math, statistics, and computational thinking when the instruction is inquiry-based in real world issues.
VA466


Intro to Engineering Math PLTW Engineering
The goal of the Introduction to Engineering Design course is to provide students with opportunities to engage in open-ended problem-solving and to learn to apply the engineering design process. Utilizing industry-leading technology and software, students dig deep into the engineering design process, applying math, science and engineering standards to hands-on projects. They work both individually and in teams to design solutions to a variety of problems using 3D modeling software, and use an engineering notebook to document their work.
MA601


Math HL 1 (IB) Math Part of the IB International Baccalaureate program
MA604


Math HL 2 (IB) Math Part of the IB International Baccalaureate program
Prerequisites: C- or better in AP Calculus AB
The IB DP higher level mathematics course focuses on developing important mathematical concepts in a comprehensible, coherent and rigorous way, achieved by a carefully balanced approach. Students are encouraged to apply their mathematical knowledge to solve problems set in a variety of meaningful contexts. Development of each topic should feature justification and proof of results. Students should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas. They are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas. The exploration also allows students to work without the time constraints of a written examination and to develop the skills they need for communicating mathematical ideas.
MA600


Math SL 1 (IB) Math Part of the IB International Baccalaureate program
Prerequisites: C- or better in Integrated Math 3 The IB DP mathematics standard level (SL) course focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on the mathematical rigour required for mathematics HL. Students should, wherever possible, apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context. The internally assessed exploration offers students the opportunity for developing independence in their mathematical learning. Students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas. The exploration also allows students to work without the time constraints of a written examination and to develop the skills they need for communicating mathematical ideas
AT463


PLTW Engineering Math PLTW Engineering
The knowledge and skills students acquire throughout PLTW Engineering come together in Engineering Design and Development as they identify an issue and then research, design, and test a solution, ultimately presenting their solution to a panel of engineers. Students apply the professional skills they have developed to document a design process to standards, completing Engineering Design and Development ready to take on any post-secondary program or career.
MA516


Pre-Calculus Math Seniors only
Prerequisites: Being a Senior and Algebra 2 or Trigonometry with a “C” or better
This is a college preparatory course. Topics include: transformations of functions, solving non-right triangles (Law of Sines, Law of Cosines), radian measure, unit circle, piecewise-defined functions, summation notation, exponentials and logarithms, circular functions (including reciprocal functions, modeling periodic behavior, identities), the ambiguous case, binomial expansion, polynomial division, finite series, infinite geometric series, rates of change (secant lines, tangent lines, average, instantaneous), vectors, parametric equations, polar equations, complex numbers, conic sections
MA504


Pre-Calculus Honors Math Fulfills "a - g" requirement.
Prerequisite: Algebra 2 Honors or Trigonometry with a “C” or better
This is a college preparatory course developed for accelerated students. Topics include: transformations of functions, solving non-right triangles (Law of Sines, Law of Cosines), radian measure, unit circle, area under a curve (approximations using left-hand endpoints rectangles, right-hand endpoint rectangles, midpoints, and trapezoids), piecewise-defined functions, summation notation, exponentials and logarithms, circular functions (including reciprocal functions, modeling periodic behavior, identities), introduction to limits, the ambiguous case, binomial expansion, polynomial division, finite series, infinite geometric series, rates of change (secant lines, tangent lines, average, instantaneous), derivative, vectors, parametric equations, polar equations, complex numbers, conic sections
AT461


Principals of Engineering Math PLTW Engineering
Through problems that engage and challenge, students explore a broad range of engineering topics, including mechanisms, the strength of structures and materials, and automation. Students develop skills in problem solving, research, and design while learning strategies for design process documentation, collaboration, and presentation.
MA506


Statistics Math (one semester course)
Fulfills "a - g" requirement.
Prerequisites: Algebra 2 with a “C-“ or better
This one semester course covers the essentials of Probability and Statistics as outlined in the California State Standards. It is meant for students that wish to further explore the probability and statistics that is introduced in their Integrated Math 3 class.
MA503


Statistics, Advanced Placement Math Fulfills "a - g" requirement.
Prerequisites: A student must meet one of the following requirements: 1) Pre-Calculus Honors with a “C“ or better or 2) Statistics with a “B+” or better AND Trigonometry with a “B+” or better. AP Statistics is a two-semester course. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1) Exploring Data: Describing patterns and departures from patterns; 2) Sampling and Experimentation: Planning and conducting a study; 3) Anticipating Patterns: Exploring random phenomena using probability and simulation; and 4) Statistical Inference: Estimating population parameters and testing hypotheses. Students are required to use a graphing calculator. The course includes an extensive preparation for the AP Statistics exam.
MA505


Trigonometry Math (one semester course)
Fulfills "a - g" requirement.
Prerequisites: Algebra 2 with a “C-“ or better
Topics include: The six trigonometric functions, identities (sum/difference, double-angle, half-angle, etc.), right triangle trigonometry (solving right triangles, applications), vectors, radian measure, arc length, area of a sector, graphing trigonometric functions (amplitude, period, phase shift), solving trigonometric equations, Law of Sines, Law of Cosines, ambiguous case, SAS formula for area of a triangle