# Math & Computer Science

## Algebra 1

Algebra 1
Course Information Sheet

Recommended:  Successful completion of Math8

Algebra 1 is imperative for success in subsequent math courses, and transitions students from arithmetic to symbolic reasoning. The key content, which follows the Common Core State Standards for Algebra 1, involves understanding, writing, solving, and graphing linear, exponential, and quadratic equations and inequalities. When working with linear equations, emphasis will be placed on understanding equations in slope-intercept form and slope in general as it relates to rates in context. Solving systems of two linear equations in two unknowns is also emphasized. Exponential relationships are studied in comparison with linear relationships to highlight the characteristics of exponential growth and decay. Quadratic equations are solved by factoring, using graphs, and applying the quadratic formula. Students should also become comfortable with operations on monomial and polynomial expressions. Students learn to solve problems employing all of these techniques. Successful completion of Algebra 1 prepares students for Geometry.

## Geometry

Geometry
Course Information Sheet

Recommended: Successful completion of Algebra 1.

The Geometry course, which follows the Common Core State Standards for Geometry, focuses on a formal development of geometric skills and concepts. Students build their visualization, reasoning, and mathematical communication skills through study of the following topics: transformations, congruence, similarity, properties of geometric shapes (triangles, quadrilaterals, circles), geometric modeling (plane and solid), coordinate geometry, and right triangle trigonometry. They also develop the ability to construct formal logical arguments and proofs in a geometric setting. Geometry meets the graduation requirement, and together with Algebra 1, prepares a student for Algebra 2.

## Geometry Enriched

Geometry Enriched
Course Information Sheet

Recommended: Mastery of Algebra 1.

Geometry Enriched emphasizes formal proofs and students are expected to enter with a firm grasp of Algebra 1 concepts and skills. The course, which follows the Common Core State Standards for Geometry, focuses on a formal development of geometric skills and concepts. Students build their visualization, reasoning, and mathematical communication skills through study of the following topics: transformations, congruence, similarity, properties of geometric shapes (triangles, quadrilaterals, circles), geometric modeling (plane and solid), coordinate geometry, right triangle trigonometry, and probability. Students also develop the ability to construct formal logical arguments and proofs in a geometric setting. Mastery of Geometry Enriched and Algebra 1 prepares students for the rigor of the course that follows: Algebra 2/Trigonometry.

## Algebra 2

Algebra 2
Course Information Sheet

Recommended: Successful completion of Algebra 1 and Geometry.

Algebra 2 expands and refines the mathematical content of Algebra 1 and Geometry. Emphasis is placed on abstract thinking skills, the function concept, extension of right triangle trigonometry to the unit circle and domain of all real numbers, and the algebraic solution of problems in various content areas. Polynomial, exponential, logarithmic, radical, rational, and trigonometric functions comprise the core material through which equations, graphs, and their transformations are studied and applied. The course also includes an introduction to statistics and sequences and series. Calculators are used to aid in the solution of problems and in making estimates for realistic solutions. Successful completion of Algebra 2 prepares students for Precalculus or Applications of Advanced Mathematics.

## Algebra 2/Trigonometry

Algebra 2/Trigonometry
Course Information Sheet

Recommended: Mastery of Algebra 1 and Geometry/Geometry Enriched.

Algebra 2/Trigonometry is for students who plan to maximize the amount of mathematics studied in high school. Course content includes a more rigorous study of all topics taught in the Algebra 2 course. As in Algebra 2, emphasis is placed on abstract thinking skills, the function concept, extension of right triangle trigonometry to the unit circle and domain of all real numbers, and the algebraic solution of problems in various content areas. Polynomial, exponential, logarithmic, radical, rational, and trigonometric functions comprise the core material through which equations, graphs, and their transformations are studied and applied. The course also includes an introduction to statistics and sequences and series. Beyond the content of Algebra 2, in the trigonometry portion of Algebra 2/Trigonometry, students study, in depth, all 6 trigonometric functions as they relate to the unit circle using radians and degrees, including simplifying expressions, solving equations, graphing, and applications. Additional topics include solving triangles, defining and solving equations with inverse trigonometric functions, and proving and applying trigonometric identities. Calculators are used to aid in the solution of problems and in making estimates for realistic solutions. Successful completion of Algebra 2/Trigonometry prepares students for Precalculus or Applications of Advanced Mathematics. Mastery of Algebra 2/Trigonometry prepares students for Precalculus Honors.

## Applications of Applied Mathematics

Applications of Applied Mathematics
Course Information Sheet

Recommended: Successful completion of Algebra 2 or Algebra 2/Trigonometry.

Applications of Advanced Math is designed for college-bound students who want an advanced mathematics course after Algebra 2 that focuses on real-world applications in fields such as business, finance, politics, architecture, gaming, and natural science. Students who complete this class will be prepared for Advanced Placement or college level statistics. The course consists of four core units: geometry and trigonometry, mathematical modeling, statistics, and the mathematics of decision-making. To help students understand that math makes sense outside of a textbook, the course incorporates real world data and technological tools. The course is built around collaborative tasks that require students to persevere in solving complex, unfamiliar problems, choose and use mathematical models to represent their thinking. Students will be asked to clarify their thinking, verify the reasonableness of their conclusions, explain their solutions in writing, and critique the reasoning of others. As the course progresses, students will be expected to communicate their ideas with increasing accuracy, objectivity, clarity, and concision. Students are encouraged to explore multiple pathways toward a solution to further enhance their understanding. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment.

## Precalculus

Precalculus
Course Information Sheet

Recommended: Successful completion of Algebra 2 or Algebra 2/Trigonometry

Precalculus focuses on the study of families of functions, their application in mathematical modeling, and the use of equivalence to rewrite expressions to reveal important features. Students analyze features of a variety of functions and their graphs, connect different representations, and identify and apply transformations of equations and graphs. To solve problems using function models, students choose among function families, fit linear and nonlinear functions to data, and interpret, apply, and evaluate the resulting models. The study of functions in this course includes strengthening of concepts and skills from prior courses, fuller development of equivalent forms of functions, and an in-depth study of trigonometry and its applications. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment. Full mastery of concepts and skills from this course prepares students to take Calculus AB the following year.

## Precalculus Honors

Precalculus Honors
Course Information Sheet

Recommended: Mastery of both Geometry/Geometry Enriched and Algebra 2/Trigonometry.

Precalculus Honors is for students who plan to maximize the amount of mathematics studied in high school. This fast-paced course assumes that students have already mastered all skills and concepts from prior courses. The focus is on expanding the study of functions to a broad variety of function types, with increased emphasis on abstract thinking and formal proofs. Students analyze features of a variety of functions and their graphs, connect different representations, and identify and apply transformations of equations and graphs. Students also solve challenging problems using function models, where they choose among function families, fit linear and nonlinear functions to data, and interpret, apply, and evaluate the resulting models. This course continues the rigorous study of trigonometry begun in Algebra 2/Trigonometry, moving on to advanced equations, graphs, and proofs, including the study of vectors and polar coordinates. Students also continue their study of topics such as the algebra of polynomials and rationals, advanced inequalities, conic sections, and sequences and series. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment. Successful completion of this course prepares students to take Calculus AB, or with full mastery of concepts and skills, Calculus BC, the following year.

## AP Statistics

AP Statistics Course Information Sheet

Recommended: Successful completion of Algebra 2 or higher math course.

This course covers the content of one semester of an introductory, non-Calculus-based, college curriculum in Statistics, which is often a requirement for college students majoring in the social sciences, health sciences and business. Students will be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is built around four main topics: exploring data, planning a study, probability as it relates to distribution of data, and inferential reasoning. With the possible exception of probability, most of the material in this course has not been a part of the traditional secondary mathematics curriculum. Students successfully completing this course are prepared to take the Statistics AP Exam which includes use of a graphing calculator. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment.

## AP Calculus AB

AP Calculus AB
Course Information Sheet

Recommended: Mastery of Precalculus.

This course covers the content of two quarters (more than one semester) of a college Calculus curriculum, focusing on the application of limits, differentiation and integration. Some techniques of integration and indeterminate forms for limits are also covered. Throughout the course, an emphasis is placed on symbolic, graphical, and numeric representations, as well as on clear communication of mathematical thinking. Students successfully completing this course are prepared to take the Calculus AB AP Exam, which requires use of a graphing calculator. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment.

## AP Calculus BC

AP Calculus BC
Course Information Sheet

Recommended: Mastery of Precalculus Honors.

This course covers the content of three quarters (two semesters) of a college Calculus curriculum, focusing on applications of limits, differentiation and integration. Numerical approaches (such as Newton’s method, Simpson’s Rule, and Euler’s Method); various techniques of integration; indeterminate forms for limits; and Taylor series are also covered, as well as application of Calculus techniques to parametric and polar representations. Throughout the course, an emphasis is placed on symbolic, graphical and numeric representations, as well as on clear communication of mathematical thinking. Students successfully completing this course are prepared to take the Calculus BC AP Exam, which requires use of a graphing calculator. Completion of this course with a grade of “C” or higher will clear a CSU Early Assessment Program result of “Conditionally Ready” on the 11th grade Smarter Balanced assessment

## Digital Innovation & Design

Digital Innovation & Design

Students will explore the potential of technology to solve modern human problems by applying design principles used in art, business, and computer science. They will design, field test, and evaluate their own projects that use technology to solve local problems. The course will examine the "magic" of how computers and the Internet work, and how logic helps digital devices communicate and understand one another. The course will strengthen students' critical thinking and logic skills as they evalute the effective use of technology and weigh the moral and ethical dilemmas that may occur with technological solutions. Students will be exposed to a range of professions that use digital technology. Students who complete this course successfully will be prepared for Java Programming.

## Introduction to Programming

Introduction to Programming
Course Information Sheet

Recommended: Successful completion of Algebra 1 or higher math course and previous computer use.

The course is designed to introduce the student to the study and writing of computer programs, with an emphasis on problem-solving and program design. Analytical thinking skills and logic are emphasized. The Java language is used with an emphasis on understanding universal programming concepts such as data types and data structures, selection, and iteration along with applications of programming for the Internet and programs written in an object-oriented paradigm. Elementary study of digital computer hardware may be included. This course is recommended for the college-bound student planning on a business, math or science major or for the student preparing for an AP Computer Science course.

## AP Computer Science A

AP Computer Science A

Recommended: Successful completion of Computer Programming Java and Algebra 2 or higher math course.

This course is designed to serve as the equivalent of a one-semester, entry-level college course in computer science for students majoring in computer science, engineering, math, the sciences or business. Students are expected to have strong computer and problem-solving skills as they will create and debug original object-oriented programs, using Java, to solve problems by using adaptable and reusable algorithmic modules and data structures. Students successfully completing this course are prepared to take the AP Computer Science A Exam.

## High School Graduation & College Entrance Requirements

There is a two-year requirement for graduation; the minimum is Algebra 1 and Geometry.

### UC Eligibility

c. Mathematics – 3 year required, 4 years recommended.
A student must earn 30 credits and a grade of "C" or higher in approved mathematic courses.

## Staff Directory

 Auten, Gary gary_auten@fuhsd.org Algebra 2 Precalculus Burroughs, Greg greg_burroughs@fuhsd.org AP Calculus BC Intoduction to Programming Eastland, Eirk erik_eastland@fuhsd.org Algebra 1 Esswein, Angie angie_esswein@fuhsd.org Algebra 2 AP Statistics Guevara, Matt matthew_guevara@fuhsd.org Geometry Enriched Precalculus Honors Heaney, Katie katie_heaney@fuhsd.org Algebra 2/Trigonometry AP Statistics Lee, Phil phil_lee@fuhsd.org Geometry Applications of Applied Mathematics Mathews, Bethany bethany_mathews@fuhsd.org Geometry Precalculus Murray, Connie connie_murray@fuhsd.org Algebra 2/Trigonometry AP Calculus BC Department Lead Prakash, Rohan rohan_prakash@fuhsd.org Algebra 2 Precalculus Honors Rick, Alice alice_rick@fuhsd.org Algebra 2/Trigonometry Precalculus Ronan, Erin erin_ronan@fuhsd.org Algebra 1 AP Calculus AB Shelby, John john_shelby@fuhsd.org Digital Innovation and Design AP Computer Science A Southerd, Shawn shawn_southerd@fuhsd.org Geometry AP Statistics Taylor, Ed ed_taylor@fushd.org Algebra 2 Introduction to Programming Vakili, Niloofar niloofar_vakili@fuhsd.org Algebra 1 AVID Precalculus Honors Westgate, Andrea andrea_westgate@fushd.org Algebra Workshop AP Calculus AB

## Standards & Testing

 Common Core State Standards (CCSS) for Mathematics (California) PSAT Information (math tested up to the Algebra 2 level) SAT Information (math tested up to the Algebra 2 level) SAT Math II Test ((math tested up to the Precaclulus level) ACT Information Advanced Placement Math/CS Course Descriptions

## Getting Help with Math

 Tutorial: Dedicated time during the school day for students to seek help from any teacher.Scheduled 3 days per week Math Lab: Drop in peer tutor program for all Mathematics classes.  Location:  B101 Monday:        9:45 – 10:20 Wednesday:  10:40 – 11:15 Friday:         10:40 – 11:15 Monday:       2:45 – 4:30 Tuesday:      2:00 – 4:30 Wednesday: 3:30 – 4:30 Thursday:    2:00 – 4:30