Thuy Nguyen at Paschal

Ms. Nguyen's Tutoring Schedule:

Monday: Afterschool (3:45pm-5:00pm)

Tuesday: Both Lunches (12:15pm-1:53pm)

Wednesday: Afterschool (3:45pm-5:00pm)

Thursday: Both Lunches (12:15pm-1:53pm)

Link to Algebra II

Ordinary Differential Equations

Course Description

This elective course taught at the high school level is possibly the only one of its kind in the state of Texas. Usually most students do not take this course until their second year of college. Although the demands of this course will not be unreasonable, they are not to be taken lightly either. We will eventually solve problems that require two and possibly three pages of work and encompass algebra, trigonometry, chemistry, physics, biology and techniques of ODE in the same problem. We will start with the very basics, resolve any areas of weakness or concern that you may have and progress. You will find almost immediately that you will be able to describe a physical situation with an ODE, solve it and make predictions. I am certain that you will become excited about the fact that on your own you will be able to describe, using differential equations, and situations that you observe in daily life. For example, in the field of medicine and pharmacy, if a patient is to maintain a certain concentration of medication in the bloodstream and the body dissipates the medication at a known rate based on weight, at what time interval and amounts should additional medication be given to maintain the appropriate dose?

Most of the class time will be used to illustrate through examples the techniques for developing and solving differential equations. Critical thinking and NOT memorization will be emphasized in this course.

Link to Ordinary Differential Equations

Honors Algebra 2

In Algebra 2, the following concepts will be covered:

(1) Foundation concepts for high school mathematics. As presented in Grades K-8, the basic understandings of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics are essential foundations for all work in high school mathematics. Students continue to build on this foundation as they expand their understanding through other mathematical experiences.

(2) Algebraic thinking and symbolic reasoning. Symbolic reasoning plays a critical role in algebra; symbols provide powerful ways to represent mathematical situations and to express generalizations. Students study algebraic concepts and the relationships among them to better understand the structure of algebra.

(3) Functions, equations, and their relationship. The study of functions, equations, and their relationship is central to all of mathematics. Students perceive functions and equations as means for analyzing and understanding a broad variety of relationships and as a useful tool for expressing generalizations.

(4) Relationship between algebra and geometry. Equations and functions are algebraic tools that can be used to represent geometric curves and figures; similarly, geometric figures can illustrate algebraic relationships. Students perceive the connections between algebra and geometry and use the tools of one to help solve problems in the other.

(5) Tools for algebraic thinking. Techniques for working with functions and equations are essential in understanding underlying relationships. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model mathematical situations to solve meaningful problems.

(6) Underlying mathematical processes. Many processes underlie all content areas in mathematics. As they do mathematics, students continually use problem-solving, language and communication, and reasoning (justification and proof) to make connections within and outside mathematics. Students also use multiple representations, technology, applications and modeling, and numerical fluency in problem-solving contexts.

Link to Honors Algebra 2

Paschal
Thuy Nguyen

Classes

Algebra II

Ordinary Differential Equations

Honors Algebra 2