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I have a degree in Systems Science & Mathematics and have practiced as a software engineer, systems integrator, and systems engineer for over 30 years. I love sharing my knowledge with others. I have extensive mathematical, computer programming, and electrical/electronics background and find it rewarding to impart these skills to others. History has always been a hobby and passion of mine, and if I could have made a good living as a historian as opposed to an engineer, that is the career path I would have chosen.
My tutoring approach is to work toward the student understanding the material. I believe this requires patience and use of whatever means - visual aids, drawing pictures, drawing analogies with things the student is familiar with, etc. - to help the student come to full understanding of the subject matter. I also believe it involves having discussions with the student to pinpoint problem areas that need attention. I have home schooled my son in Algebra I and Geometry, and he has been successful as he transitioned on to traditional high school. He is presently taking Calculus as a junior in high school.
Algebra I encompasses the following concepts:
Variables that may represent numbers whose values are not yet known.
Evaluating expressions based on the basic properties of arithmetic operations - addition, subtraction, multiplication, division, and exponentiation.
Equations displaying properties of equality and inequality.
Solving the following equations:
1. Linear equations with one variable
2. Linear equations with two variables
3. Quadratic equations
4. Exponential and Logarithmic equations
5. Radical equations (e.g. square root of x)
6. System of linear equations.
PreAlgebra includes the following topics:
Review of natural number arithmetic,
New types of numbers such as integers, fractions, decimals and negative numbers,
Factorization of natural numbers,
Properties of operations such as associativity and distributivity,
Simple (integer) roots and powers,
Rules of evaluation of expressions, such as operator precedence and use of parentheses,
Basics of equations, including rules for invariant manipulation of equations,
Understanding of variable manipulation,
Manipulation and arithmetic with the standard 4-quadrant
Cartesian coordinate plane
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