Academics
Curriculum

Mathematics

Department: Mathematics

The Mathematics Department offers a comprehensive curriculum where students are developmentally placed and appropriately challenged. Mathematical thinking and reasoning skills, including making conjectures and developing sound deductive arguments, are critical, as they serve as a basis for developing new insights and promoting further study.

Course Listings

List of 18 items.

  • Advanced Algebra & Trigonometry

    Students continue their study of Algebra II, including factoring, quadratics, rational expressions and equations, and transformations of functions. Students learn new topics of conics, matrices, probability and statistics, sequences and series, and trigonometry. Students continue to learn to use the graphing calculator and to develop abstract thinking skills to apply mathematics to real-life situations. Prerequisite: Algebra II or Intermediate Algebra.
  • Algebra

    Students expand their capability in using variables to represent numbers and master the procedures involved in solving algebraic equations, inequalities, and their applications. Students perform basic operations using rational algebraic expressions. Students continue to expand their work with functions and graphs. There is an emphasis on factoring, solving polynomial equations, and graphing quadratic functions. Students will learn to work with radicals, focusing on simplification, addition, subtraction, multiplication, and division.
  • Algebra 1 (College Prep)

    Students gain a complete understanding of linear and quadratic functions and their applications and study topics including relations and functions, probability, linear and quadratic equations, polynomials and factoring, rational and irrational expressions, systems of linear equations and inequalities, algebraic applications in geometry, logic and statistics. 
  • Algebra II

    Students solve, interpret, and graph major functions such as: Linear, Polynomial (Quadratic, Cubic, and Quartic), Absolute Value, Radical, Reciprocal, Logarithmic, Exponential, and Rational Functions. Students work with functions in inequality form, solving a system of equations, imaginary numbers, inverse functions, conic sections, sequences and series, principles of counting, and basic probability. Additional topics for honors include: solving nonlinear systems of equations, systems of equations in three variables, conic sections centered off-origin, and binomial probability.
  • AP Calculus AB & BC

    AB:
    Students examine all topics of a one semester college course in single-variable calculus with an emphasis on preparation for the AP Calculus AB exam. Students study differential calculus (including tangent lines, rates of change, and optimization); topics from integral calculus (including antiderivatives, area, volume, and differential equations); and review the entire course in preparation for the AP exam.

    BC:
    Students examine all topics of a two-semester college course in singlevariable calculus with an emphasis on preparation for the AP Calculus BC exam. Students study differential calculus (including parametric and polar functions, rates of change, and optimization); topics from integral calculus (including antiderivatives, arc length, volume, and differential equations); infinite series and Taylor series; and review the entire course in preparation for the AP exam. 
  • Calculus (Honors)

    Students explore the fundamentals of Calculus. Students review functions and graphs including trigonometric, exponential, and logarithmic functions; and study the derivative, its applications, the definite integral, antiderivatives. Students review all high school math skills to prepare them for University entrance exams.
  • AP Statistics

    Students learn an in-depth approach to analyzing data to reach conclusions using text and material written at the college level, including topics that are included in many undergraduate and graduate programs. Students study distributions and trends in single variable research, correlations and relationships found in multivariable research, and testing procedures used to calculate probability of significance. Students gain proficiency using their Texas Instrument Graphing Calculator’s statistical software. Finally, the students explore the use of statistics in many real life applications and various fields of study. Prerequisite: Honors Precalculus or Principles of Calculus and Statistics.
  • Financial Math (College Prep)

    During the first semester, students review functions and their graphs; and study the derivative and its applications. During second semester, students study practical applications of mathematics, engaging in a technologyrich curriculum to study financial and other utilitarian applications of mathematics. Topics include: the stock market, modeling a business, banking, budgeting, home ownership, auto ownership, taxes and planning for retirement.
  • Geometry

    This course includes an introduction to the basic concepts of point, line and plane. Students develop an understanding of logic using various forms of deductive arguments, and learn to apply concepts in writing formal geometric proofs. The relationships of angles and perpendicular lines are covered and there is an introduction of congruent triangles and their application to quadrilaterals. There is a presentation of similarities as applied to triangles, especially right triangles and its application to trigonometry. Students apply the concepts of congruent triangles and similar triangles to problems involving circles and related lines.
  • Geometry (College Prep & Honors)

    Students use algebraic skills to solve geometric problems and expand their reasoning powers. Students explore undefined terms and learn the theorems, postulates and corollaries associated with Euclidean two and three dimensional geometry. Topics include: triangle congruence, properties of quadrilaterals, proportion and similarity, special right triangles, right triangle trigonometry, circles, polygonal areas, surface area, and volume of solids. Students use visualization, spatial reasoning and geometric modeling to solve problems. Honors students produce logical arguments by engaging in paragraph and flowchart proofs. 
  • Intermediate Algebra

    This course highlights key concepts covered in a traditional Algebra II course and is followed by the Advanced Algebra & Trigonometry course. Students begin with an overview of algebraic concepts, focusing on multistep equations and inequalities with one variable, equations of lines, and quadratics. Topics include linear relations and functions, systems of equations and inequalities, polynomials and radical expressions, complex numbers, exponential and logarithmic functions, and rational expressions. Students develop graphic calculator skills.
  • Math 6

    Students reinforce and build upon mathematical skills taught in 5th grade mathematics with advanced computation, including an emphasis on skill acquisition. There is an emphasis on building students’ previous understanding of working with fractions to explain why the division of fractions makes sense. Students extend their understanding of the number system, the ordering of numbers, to include the system of rational numbers, while focusing on negative integers. Students continue to develop their understanding of a variable and work with writing, interpreting, and using expressions and equations. Students begin to develop their ability to think statistically, focusing on measures of central tendency and measures of variability while summarizing data. Problems involving area, surface area, and volume will also be explored.
  • Pre-Algebra

    Students review fractions, decimals, percents, positive and negative integers, rational numbers, ratios, proportions and solve algebraic equations. Additional topics include surface area, volume, linear and nonlinear functions, and data sets. Students expand problem solving skills in order to apply mathematical skills to real-world scenarios. Successful completion of this course prepares students for success in Algebra.
  • Precalculus

    Students explore the nature and properties of graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions and their graphs; matrices; Students learn to use the graphing calculator. Students develop abstract thinking skills and apply mathematics to real-life situations. Honors students engage in direct and indirect proofs of theorems and trigonometric identities, and topics are presented in greater depth and concentrate on problem-solving skills and critical thinking.
  • Principles of Pre-Algebra

    Students reinforce and build upon mathematical skills taught in 6th grade mathematics using advanced computation. Students review fractions, decimals, percents, positive and negative integers, rational numbers, ratios, proportions and equations. Additional topics include surface area, volume, linear and nonlinear functions, and data sets. Students develop problem solving skills in order to apply mathematical skills to real-world scenarios. Successful completion of this course prepares students for Pre-Algebra. 
  • Principles of Algebra

    Students reinforce and build upon mathematical skills taught in 7th grade mathematics using advanced computation, with an emphasis on formulating algebraic concepts. Students review fractions, decimals, percents, rational numbers, ratios, proportions and linear equations. Additional topics include linear inequalities, compound inequalities, absolute value, and systems of linear equations. Students expand problem solving skills in order to apply mathematical skills to real-world scenarios.
  • Principles of Calculus & Statistics

    Students receive an introduction to the concepts of Calculus and Statistics. Students learn to reach conclusions by analyzing data, study distributions and trends in single variable research, correlations and relationships found in multivariable research, and testing procedures used to calculate probability of significance. Students develop proficiency with the Texas Instrument Graphing Calculator’s statistical software, explore the use of statistics in real life applications and various fields of study. Additionally, students review previously learned high school math skills to prepare them for University entrance exams.
  • Topics in Adv Mathematics

    Students explore a broad range of upper level mathematics topics in order to introduce themselves to the expanse of mathematical knowledge, with a focus on core mathematical processes across topics and interesting problems and results. Students ask deep questions and persevere in looking for solutions.

Mathematics Department Faculty

List of 11 members.

  • Photo of Chandler Austin

    Chandler Austin 

    Mathematics Teacher
  • Darcy Corson 

    Mathematics Instructional Leader
  • Photo of Michelle Cudiamat

    Michelle Cudiamat 

    Mathematics Teacher & Faculty Mentor
  • Photo of Monica Daranyi

    Monica Daranyi 

    Mathematics Teacher, Division 9-10 Dean & House Leader
    310.440.3500 x3014
  • Photo of Katey Garnick

    Katey Garnick 

    Mathematics Teacher & Division 6-8 House Leader
  • Photo of Jeffrey Gernes

    Jeffrey Gernes 

    Mathematics Teacher
    310.440.3500 x3010
  • Photo of Mary Ann Goode

    Mary Ann Goode 

    Mathematics Teacher
  • Photo of Khushnaz Katrak

    Khushnaz Katrak 

    Mathematics Teacher
  • Photo of Ana Kono

    Ana Kono 

    Mathematics Teacher
  • Photo of Lilit Minasian

    Lilit Minasian 

    Mathematics Teacher
    310.440.3500 x3031
  • Photo of James Silbert

    James Silbert 

    Mathematics Teacher & Division 6-8 House Leader
    310.903.4800

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