# Math Department

Overview

## Math Tutoring Available

Post ## MATH PROGRESSION CHART

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10 Credits

Prerequisites: Pass Math III with an “C” or better
This is a 1 year-long calculus preparation course emphasizing mathematical thinking, the use of mathematical models, and the understanding of mathematical functions and their graphs. This course is about algebraic and geometric concepts that are important for calculus success. Students are expected to master the algebraic and trigonometric methods and problem solving skills necessary to solve lengthy, multi-step problems, involving a variety of pre-calculus mathematical concepts.

## AP CALCULUS AB MCS201-MCS202

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10 Credits

Prerequisites: Pass Pre-Calculus or Advanced Pre-Calculus with a “C” or better / Pass Math III Plus with a “B” or better
AP Calculus AB is a college level calculus in the study of the Calculus of functions of a single variable. The three main concepts in calculus are limits of a function, differentiation, and integration. Both Calculus AB and Calculus BC cover these three main concepts, except that in Calculus AB the focus is on elementary functions and the basic methods of integration. Students are expected to master the basics of Calculus with and without a graphing calculator.

## AP CALCULUS BC MCS303-MCS304

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10 Credits

Prerequisites: Pass AP Calculus AB with a “B” or better and Pass Pre-Calculus with an “A” or better
AP Calculus BC is a college level calculus in the study of the calculus of functions of a single variable. The three main concepts in calculus are limits of a function, differentiation, and integration. Both Calculus AB and Calculus BC cover these three main concepts, except that in Calculus BC, several non-elementary functions will be studied using the differentiation and integration processes. And additional techniques in integration will be studied as well.

## AP STATISTICS MSS270-MSS271

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10 Credits

Prerequisites: Pass Math III with a “C” or better
The Advanced Placement Program offers a course description and examination in statistics to secondary school students who wish to college course in statistics. This course includes the use of technology including daily use of graphing calculators, projects and laboratories, complete studies equivalent to a one-semester, introductory, non-calculus-based, cooperative group problem-solving, and writing, which will allow students to build interdisciplinary connections with other subjects and with their world outside school.

## MATH I MIS101-MIS102

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10 Credits

(Satisfies the Integrated Math Graduation Requirement; must pass EOC exam and benchmarks to pass the class)
This is a first year in which students will learn to reason symbolically. The course is based on the Common Core State Standards for Mathematics and is a key course for success on the California High School Exit Exam. The key content includes writing, solving, and graphing linear functions and inequalities, including systems of two linear equations in two unknowns. Other key content includes writing, solving, and graphing exponential equations. Additionally, students will model real-life scenarios from a data set and apply it to course content by summarizing, representing and interpreting the data. This course also establishes criteria for congruence based on rigid motion.

## MATH II MIS201-MIS202

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10 Credits

Prerequisites: Pass Integrated Math I with a “C” or better
(Satisfies the Integrated Math II Graduation Requirement)
This course expands on laws of exponents to rational exponents. Students will compare key characteristics of quadratic functions with those of linear and exponential functions. These topics extend to creating and solving equations and inequalities involving linear, exponential, and quadratic expressions. Work with probability is expanded. Criteria for similar triangles based on dilations and proportional reasoning is established. Geometric proof is introduced and done in a bevy of ways. The proofs extend to trigonometry and its application. Additional topics include imaginary numbers, solid geometry and circle/parabola conic sections.

## MATH II PLUS MIS203-MIS204

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10 Credits

Prerequisites: Pass Integrated Math I with an “A” or “B” / Teacher Recommendation Required
(Satisfies the Integrated Math II Graduation Requirement)
This advanced course covers the same topics as delineated in MATH II with the addition of Vectors, the Fundamental Theorem of Algebra, Polynomials identities involving complex numbers, and a few more topics.

## MATH III MIS301-MIS302

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10 Credits

Prerequisites: Pass Math II or Math II Plus with “C” or better
This course builds knowledge and facility in advanced relations & functions, systems of equations, complex numbers, exponential functions, and logarithmic functions. Problems involving application of functions to predicting values of related real-world variables are used to tie many mathematical techniques together into single problems

## MATH III PLUS MIS303-MIS304

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10 Credits

Prerequisites: Pass Math II Plus with a “C” or better / Math II with an “A” / Teacher Recommendation Required
This course covers, in depth, all topics listed under Math III with supplementation in the subject of intermediate trigonometry, including the hand computation of trigonometric values at standard points, graphs and properties of trigonometric functions and their inverses. It will meet the needs of students who seek the depth and acceleration of higher math, who anticipate college enrollment in a math related field.

## QUANTITATIVE REASONING WITH ADV MATH TOPICS  (QRAT)  MHS101/MHS102

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10 Credits

Prerequisites: Teacher Recommendation / Scored Conditionally ready on the SBAC or received a low “B” or “C” grade in Math III

Designed for seniors, this course revisits previous mathematics concepts such as linear, quadratic and exponential functions, to provide opportunities to strengthen students’ mathematics foundation, develop a greater perspective of the underlying structures of mathematics, and see how mathematical topics are connected. Quantitative reasoning skills needed for success in college-level courses or the workplace are developed utilizing real-life applications, working with polynomial and rational functions, basic calculus concepts, and the mathematics of finance.

A letter grade of C or better in the second semester of this course (a UCOP designated Advanced Mathematics course) validates the entire high school college preparatory requirement.

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