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Courses Offered at El Rancho HS

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Math
Code Title Department Description
MA508


Algebra 2 Math Fulfills "a - g" requirement. Prerequisites: Geometry with a “C-” or better.
This course addresses all of the California Standards for algebra 2. Topics include: Functions (domain, range, parent graphs, transformations), sequences, summing finite arithmetic and geometric series, summing convergent infinite geometric series, exponential functions (graphing, modeling exponential growth/decay), completing the square, solving systems of equations (2 variable and 3 variable examples), inverses, logarithms (graphs, solving), basic three-dimensional graphing, polynomial functions, real and complex roots, polynomial division, probability and counting (combinations and permutations), binomial theorem
MA507


Algebra 2 Honors Math Fulfills "a - g" requirement.
Prerequisites: Geometry Honors with a “C” or better, or Geometry with an “A” and recommendation of the teacher
This is an accelerated course designed for college prep students who have shown particular excellence in previous math courses. This course addresses all of the California Standards for algebra 2. Topics include: Functions (domain, range, parent graphs, transformations), sequences, summing finite arithmetic and geometric series, summing convergent infinite geometric series, exponential functions (graphing, modeling exponential growth/decay), completing the square, solving systems of equations (2 variable and 3 variable examples), inverses, logarithms (graphs, solving), basic three-dimensional graphing, polynomial functions, real and complex roots, polynomial division, probability and counting (combinations and permutations), binomial theorem, trigonometric functions (graphing, modeling periodic behavior, solving, identities), unit circle, radian measure
MA554


Algebra Intervention Math Algebra Intervention is for those students who need additional support to be successful in Algebra 1. Through testing we determine 60 students entering ERHS as 9th graders who need additional support in mathematics. These students will take an Algebra Intervention class and Algebra 1 during his/her 9th grade year. These 60 students would be broken up into two groups of 30 students, and each group assigned to a single math teacher with whom each group would take the Algebra Intervention and Algebra 1 classes. Students are not to be transferred into or out of these classes after the start of the school year. This program is to be treated as a privilege for these students and not a punishment. The primary goal of this program is to have these students pass Algebra 1 during the 9th grade. The secondary goal of this program is to have these students ready to take Geometry during the 10th grade.
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.
MA501


Calculus BC, Advanced Placement Math Fulfills "a - g" requirement.
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.



Civil Engineering and Architecture Math PLTW Home Page



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.
MA510


Geometry Math Fulfills "a - g" requirement.
Prerequisite: Algebra 1 with a “C-“ or better
This course addresses all of the California Standards for geometry, as well as a continued review of Algebra 1 topics. Topics: Transformations (rotations, transformations, dilations), angle relationships (complementary, supplementary, vertical, corresponding, alternate interior, consecutive), area (triangles, squares, rectangles, parallelograms, circles, regular polygons, composite figures), Pythagorean theorem, triangle inequality relationship, similarity, triangle congruence, right triangle trigonometry, Law of Sines, special right triangles, probability (area models, tree diagrams), proofs, properties of quadrilaterals, coordinate geometry, properties of regular polygons, ratio of similarity, three-dimensional solids (volume, surface area), constructions, circles (angles, arc length and measure, chords, tangents, secants, equation of)
MA509


Geometry Honors Math Fulfills "a - g" requirement.
Prerequisites: Algebra 1 with an “A” and/or recommendation of the teacher
This is an accelerated course designed for college prep students who have shown particular excellence in previous math courses. This course addresses all of the California Standards for geometry, as well as a continued review of Algebra 1 topics. Topics include: Transformations (rotations, transformations, dilations), angle relationships (complementary, supplementary, vertical, corresponding, alternate interior, consecutive), area (triangles, squares, rectangles, parallelograms, circles, regular polygons, composite figures), Pythagorean theorem, triangle inequality relationship, similarity, triangle congruence, right triangle trigonometry, Law of Sines, Law of Cosines, special right triangles, probability (area models, tree diagrams), proofs, properties of quadrilaterals, coordinate geometry, properties of regular polygons, ratio of similarity, three-dimensional solids (volume, surface area), constructions, circles (angles, arc length and measure, chords, tangents, secants, equation of), conic sections
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.



Integrated Math 3 Math
AT460


Intro to Engineering Math 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. PLTW Home Page
MA520


Math CAHSEE Math CAHSEE (Elective Credit) Prerequisite: Failing the CAHSEE in the 10th grade
11th & 12th grade only
This course is designed to meet the needs of those students who have yet to pass the California High School Exit Exam (CAHSEE). All of the standards on the CAHSEE blueprint will be addressed, as well as a review of test-taking strategies.
MA516


Pre-Calculus Math Seniors Only
Fulfills "a - g" requirement.
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 section.
AT461


Principals of Engineering Math 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. PLTW Home Page
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 Algebra 2 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