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Mathematics

  • Integrated Math I

    Grade Level: 9th
    Length of Course: 2 semesters
    Prerequisite: Completion of Math 8 or Pre-Algebra
    Course Description:
    After a short review of basic middle-grades skills and concepts, algebraic fundamentals will be applied to real world concepts as well as geometric applications. Equations and inequalities involving linear, quadratic and absolute value, as well as related word problems, are thoroughly investigated. These three concepts are elaborated on with their connected functions through the study of a vertex, intercepts, and transformations. Applied linear problems reinforce ?the properties of line equations, inequalities, and systems of equations. Various problems on exponents, radicals, and visual manipulations with algebra blocks slowly blend into factoring, quadratic equations, parabolas, and their real-life applications. Methods of solving second-degree equations (graphing, factoring, quadratic formula, completing the square) as well as vertex, x-intercepts, and axis of symmetry, are used to model and solve real-world problems.

    Throughout the year, students are learning how to communicate mathematically with each other. Student presentations of ideas on a regular basis help begin the discourse as students are then encouraged to ask each other questions with the facilitation of the teacher. Technology is used as a problem- solving resource, including the online graphing tool Desmos, which allows students to explore ideas and visualize mathematical modeling. Graphing calculators will be frequently used to collect data, to estimate answers, to explore theorems or to visualize mathematical modeling.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.

  • Integrated Math II

    Grade Level: 9th - 10th
    Length of Course: 2 semesters
    Prerequisite: Completion of Algebra I or Intgrated Math I and placement test
    Course Description:
    After a short review of basic methods of solving second-degree equations—such as quadratic formula, completing the square, solutions as roots (both real and complex) and x-intercepts and axis of symmetry— quadratics are used to apply the Pythagorean theorem to distance in the plane and solving other geometric problems. Algebraic concepts are used to establish a basic understanding of the distance between two points on a coordinate plane, which then becomes synonymous with slope and triangles. In-depth circle and right triangle trigonometry are used to investigate the logical structure of Euclidean geometry and to solve challenging problems. Topics in geometry include properties of parallel lines, triangles, quadrilaterals and polygons, congruence, and similarity between geometric figures.

    Throughout the year, students are learning how to communicate mathematically with each other. Student presentations of ideas on a regular basis help begin the discourse as students are then encouraged to ask each other questions with the facilitation of the teacher. Technology is used as a problem- solving resource, including the online graphing tool Desmos, which allows students to explore ideas and visualize mathematical modeling. Graphing calculators are frequently used to collect data, to estimate answers, to explore theorems or to visualize mathematical modeling.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.

  • Integrated Math II Honors

    Grade Level: 9th – 10th
    Length of Course: 2 semesters
    Prerequisite: Completion of Algebra I with placement test
    Course Description:
    The review of quadratic formula, completing the square, solutions as roots and x-intercepts and axis of symmetry goes by quickly and then quadratics are used to apply the newly proven Pythagorean theorem to distance in the plane and solving other geometric problems. Students prove the formula for understanding the distance between two points on a coordinate plane, which then becomes synonymous with slope, triangles, and vectors. Vectors are used in a deep dive into transformations in the plane. They also help students also explore linear motion, parametric equations and the optimum path of travel using vectors and parametric equations. Two column or paragraph proof strategies, algebraic process for reflection over a line, dilation and similarity are also discussed at a deeper level. Right Triangle trigonometry and the inverse functions help discuss how similarity is connected to the ratios of trigonometry. Properties of circles are introduced with challenging problems. Other topics in geometry include properties of parallel lines, triangles, quadrilaterals and polygons, and congruence.

    This seminar-style EmeryMath class guides students to become active participants in lively discussions to develop a deeper understanding of mathematical reasoning and a sense of curiosity for the subject. Students focus on developing skills to write and communicate mathematics accurately, as well as acquiring a lifelong passion for enjoying the beauty and the creativity involved in mathematics. Technology is used as a problem-solving resource, including the online graphing tool Desmos and other open-source apps which allow students to explore ideas and visualize mathematical modeling. Graphing calculators are frequently used to collect data, to estimate answers, to explore theorems or to visualize mathematical modeling.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.

  • Integrated Math III

    Grade Level: 10th – 11th
    Length of Course: 2 semesters
    Prerequisite: Completion of Integrated Math II or placement test
    Course Description:
    Students in Math III begin their studies with more in-depth Right Triangle Trigonometry which leads into the non-right triangle Trigonometry that helps generalize ideas. Follow-up geometric concepts are covered such as surface area and volume of many 3D Solids. Circles and right triangles are combined in a study of the unit circle where those properties are viewed in relation to each other. The concept of periodic functions allows students to grow in their understanding of the connection between the unit circle and the graphs of the trigonometric functions. This idea leads to studying other functions and their inverses such as exponential and logarithmic functions. Properties of both functions are explored, and the graphs are used in many types of problems – both applied and theoretical.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Integrated Math III Honors

    Grade Level: 10th – 11th
    Length of Course: 2 semesters
    Prerequisite: Completion of Integrated Math II Honors or placement test
    Course Description:
    In this course, students go more in-depth with Right Triangle Trigonometry and their inverses. This leads into the non-right triangle Trigonometry that helps generalize ideas.  Students prove advanced geometric concepts such as surface area and volume of various 3D Solids.  Students use vectors to describe projection in a plane and utilize them to analyze transformations of functions. The study of vectors is extended to matrices and matrix operations and applications. Circles and right triangles are combined in a study of the unit circle where those properties are viewed in relation to each other.  The concept of periodic functions allows students to grow in their understanding of the connection between the unit circle and the graphs of the trigonometric functions.  Initial concepts of combinatorics and probability are used to challenge students and prepare for higher level math.
     
    This seminar-style EmeryMath class encourages students to become active participants in lively discussions to develop a deeper understanding of mathematical reasoning and a sense of curiosity for the subject. Students focus on developing skills to write and communicate mathematics accurately, as well as acquiring a lifelong passion for enjoying the beauty and the creativity involved in mathematics. Technology is used as a problem-solving resource, including the online graphing tool Desmos and other open-source apps which allow students to explore ideas and visualize mathematical modeling. Graphing calculators are frequently used to collect data, to estimate answers, to explore theorems or to visualize mathematical modeling.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Integrated Math IV

    Grade Level: 11th – 12th
    Length of Course: 2 semesters
     
    Prerequisite: Completion of Integrated Math III or placement test
     
    Course Description:
    Prior to enrolling in this course students need to have mastered order of operations with integers, fractions, and exponents, basic operations with polynomials, simplification of exponents and radicals, solving of equations (linear, literal, absolute value, quadratic, radical), linear systems of equations, and inequalities (linear and compound), determining slope, graphing linear equations and inequalities, and factoring. They also need to possess foundational skills in geometry. This course is similar to a traditional Precalculus course, and prepares students for calculus, either in high school or in college, through an in-depth study of polynomial, rational, exponential, logarithmic, and trigonometric functions. To further their problem-solving and critical thinking skills and to solidify skill mastery, students will be required to practice beyond daily assignments to solidify skill mastery.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
     
  • Integrated Math IV Advanced

    Grade Level: 11th – 12th
    Length of Course: 2 semesters
    Prerequisite: Completion of Integrated Math III Honors or placement test
    Course Description:
    This typically eleventh-grade math course starts the year with a continuation of explorations that combine many previous topics from Math II and Math III which allow students to synthesize problem solving practices. Investigations into the application of fundamental geometry skills on various types of problems blend into the study of the inverse functions and periodicity.  After, more advanced probability problems lead into utilizing random walks to discover ideas about the binomial theorem and show connections to both Pascal’s triangle and combinations.  Sequences and series have a major focus, and the concept of the infinite becomes more apparent.  This allows a natural transition into the concept of convergence of series and asymptotes of functions.  Limits help get students conceptually prepared for the study of calculus. Students then delve deeper into probability and combinatorics, and geometric and arithmetic sequences and series. Later in the year, students will be exposed to fundamental topics of differential calculus such as average and instantaneous rate of change, which guide students to the formal study of calculus topics.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Calculus I

    Grade Level: 11th – 12th
    Length of Course: 2 semesters
    Prerequisite: Completion of Integrated Math IV and placement test
    Course Description:
    Calculus I is a rigorous college-preparatory mathematics course where students master the three crucial components of Calculus: limits, derivatives, and integrals. The course includes a review of concepts in algebra and trigonometry and is paced to allow for more in-class attention to homework problems and test concepts. Emphasis is placed on problem solving, mathematical reasoning and real-world applications in science, engineering, and economics.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Calculus I Advanced

    Grade Level: 11th – 12th
    Length of Course: 2 semesters
    Prerequisite: Completion of Integrated Math IV and placement test
    Course Description:
    Calculus I Advanced is comparable to college-level, first semester Calculus course, specifically, this course covers the three crucial components of Calculus: limits, derivatives, and integrals, as well as their applications. By the end of the course, the student will be able to illustrate a problem using the rule of four: graphically, numerically, analytically, and verbally. In order to be successful in this course, students need a comprehensive understanding of Algebra, including factoring, solving quadratic equations, recognizing and applying transformations to parent functions, simplifying expressions, manipulating formulas, and using a calculator to find roots, minimums, maximums and points of intersection. Students also need mastery of basic trigonometry, including the six major trigonometric functions, sketching of any trigonometric functions and application of transformations, and knowledge of the unit circle and how it yields the trigonometric functions of special angles. This course asks students to independently synthesize concepts in the solving of complex, multi-step problems and to think analytically in the generation of proofs and derivations of formulas. Upon completion of this course, students may opt to take the AP Calculus AB exam.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Advanced Statistics & Data Analysis

    Grade Level: 12th
    Length of Course: 2 semesters
    Prerequisite: Completion or dual enrollment of Integrated Math IV
    Course Description:
    Advanced Statistics and Data Analysis is a collaborative seminar in statistical problem solving and data-driven argumentation. Students are introduced to proof writing and delve into the theoretical underpinnings of introductory statistics while using the R programming language to wrangle, explore, and model real-world data, leveraging data science and traditional statistical skills in tandem to draw and communicate informed conclusions.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
  • Statistics & Probability Honors

    Grade Level: 12th
    Length of Course: 2 semesters
    Prerequisite: Completion or dual enrollment of Integrated Math IV
    Course Description:
    Statistics and Probability Honors uses a two-pronged approach to traditional, introductory statistics by targeting statistical literacy as well as data analysis skills. Students will learn to critically evaluate scientific studies and statistics cited in academic work and popular media as well as analyze real-world data and effectively communicate results. Topics covered will include data collection, descriptive statistics, confidence intervals, and hypothesis testing.
    Calculator requirement: Graphing calculator (TI-84+) will be used in this course.

Faculty

  • Photo of Amber Gaudet
    Amber Gaudet
    Upper School Math Department Chair and Teacher
    (832) 204-5900
    Queens College New York - B.A.
    University of Northcentral at Arizona - M.Ed.
    2016
    Bio
  • Photo of Dana Aboulafia
    Dana Aboulafia
    Assistant Head of Upper School
    (832) 204-5900
    University of Texas at Austin - B.S.
    University of Texas at Austin - B.A.
    2003
    Bio
  • Photo of Jacob Guidry
    Jacob Guidry
    Upper School Math Teacher
    (832) 204-5900
    Tulane University - B.S.
    2007
    Bio
  • Photo of Jacob Kesten
    Jacob Kesten
    Upper School Math Teacher
    Rice University - Master's
    Rice University - Doctor of Philosophy
    2025
    Bio
  • Photo of Cheryl Magzen
    Cheryl Magzen
    Upper School Math Teacher
    (832) 204-5900
    University of Texas at Austin - B.S.
    2004
    Bio
  • Photo of Gabriella Novak
    Gabriella Novak '18
    Upper School Math & Technology Teacher
    (832) 204-5900
    University of Rochester - B.S.
    2022
    Bio
  • Photo of Julia Zhu
    Julia Zhu
    Upper School Math Teacher
    Rice University - Master of Arts
    Drexel University - Masters
    University of Science and Technology Beijing, China - Bachelor of Science
    2025
    Bio

The Emery/Weiner School

A private, pluralistic Jewish, college-preparatory middle and high school serving grades 6-12. 
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