Welcome to Ms. Sophia's teacher page!
About Me
My name is Sophia Papaefthimiou (the students call me Ms. Sophia) and I'm so excited to start my 13th year of teaching! I was born in Farmington Hills, Michigan and also spent three of my early years living in Athens, Greece, where my parents were born and raised. I earned my Bachelor of Science degree in Engineering from the University of Michigan. After university, I worked at Oliver Wyman in risk management and financial services consulting. After a few years, I decided to switch careers and embark on my teaching journey. I went back to school and earned my mathematics teaching certificate from Northwestern University. I have taught Algebra, Geometry, and DP Mathematics for the last twelve years and was also a founding teacher at Back of the Yards College Preparatory High School.
My husband and I have two daughters, Elektra (6 years) and Melina (3.5 years). When I am not teaching Math, I stay busy by spending lots of time with my family. I also love to cook, run, travel, and watch college football (Go Blue)!
This school year I will be teaching DP Mathematics: Applications and Interpretation years 1 and 2 to juniors and seniors. I can't wait to support my seniors, whom I taught last year (and some during their freshman year in Algebra), and to become acquainted with my juniors (some of which I taught their freshman year in Algebra).
About 11th Grade: DP Mathematics: Applications and Interpretation SL (Year 1)
This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a datarich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used in applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a preuniversity mathematics course such as calculus and statistics. This course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: Applications and Interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.
The following units and topics will be covered this year:
Quarter 1: Unit 1: Dividing up Space: Coordinate Geometry, Lines, and Voronoi Diagrams Unit 2: Unit 2: Arithmetic and Geometric Sequences and Finance · Rounding and Significant Figures · Coordinate Geometry · Equations of Lines · Voronoi Diagrams · Arithmetic and Geometric Sequences and Series · Financial Applications 
Quarter 2: Unit 3: Modeling Relationships with Functions · Exponential Functions · Quadratic Functions · Cubic Functions · Polynomial Functions · Logarithmic Functions

Quarter 3: Unit 4: Modeling Periodic Phenomena · Trigonometric Functions · Right Angled Trigonometry · NonRight Angled Trigonometry · Periodic Functions · Sinusoidal Functions 
Quarter 4: Unit 5: Measuring and Representing Space: 2D & 3D Geometry · 3D Geometry · Area · Volume

About 12th Grade: DP Mathematics: Applications and Interpretation SL (Year 2)
This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a datarich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used in applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a preuniversity mathematics course such as calculus and statistics. This course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: Applications and Interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.
The following units and topics will be covered this year:
Quarter 1: Unit 1: Unit 1: Representing and Describing Data: Descriptive Statistics Unit 2: Modelling Relationships: Linear Correlation of Bivariate Data · Data sources · Measures of central tendency · Measures of dispersion · Linear correlation of bivariate data · Pearson's productmoment correlation coefficient, r · Regression line 
Quarter 2: Unit 3: Quantifying Uncertainty: Probability, Binomial, and Normal Distributions · Probability · Venn diagrams · Binomial distributions · Normal distributions

Quarter 3: Unit 4: Testing for Validity: Spearman's Hypothesis Testing and ChiSquared Test for Independence Internal Assessment · Spearman's rank correlation coefficient · Chisquared test · ttest

Quarter 4: Unit 5: Analyzing Rates of Changes: Differential Calculus Unit 6: Approximating Irregularly Spaces: Integration · Limits · Derivatives · Integrals · Optimisation 
Office Hours
Classes
 Advisory: Big Bob Cats BBCAdvisory: Fridays only: 9:24 10:04
 DP Math AI Year 1: 3rd Period3rd Period: MTh: 9:5010:41, F: 10:0810:46
 DP Math AI Year 1: 7th Period7th Period: MTh: 1:302:21, F: 12:561:34
 DP Math AI Year 1: 8th Period8th: MTh: 2:253:16, F: 1:382:16
 DP Math AI Year 2: 2nd Period2nd Period: MTh: 8:559:46, F: 8:429:20