## Math: Factoring: Difference of Squares

The math tutor recommends a little light factoring on this beautiful Sunday morning…. Last post I discussed common factor, which we will be using in concert with difference of squares. Difference of squares factors x2 – 36 into (x +

## Math: Factoring: Common Factor

As a math tutor, you notice the importance of this technique. Factoring means breaking a number or expression into a product.  For instance, we’ll factor 45: 45=9×5 In earlier posts I’ve mentioned prime factorization: 45=3x3x5 Now we’ll look at factorization

## Math: Direct Proportionality

As a math tutor, you’ll likely introduce this concept.  It’s used even more in physics and chemistry. So often in my university science courses I’d read “the mass is directly proportional to the volume” or “the distance is directly proportional

## Biology: Energy and ATP

Tutoring biology, you need to be aware of the connection between ATP and energy. In a factory or a mill, there likely is a power plant where fuel is burnt en masse. The energy is captured there (often in the form

## Math: Finding Square Root or Cube Root from Prime Factorization

The math tutor continues to appreciate prime factorization for all it yields. Let’s imagine you need to determine the square root of a number without a calculator. This challenge is part of the curriculum for local high school students. Example:

## Math: Introduction to Polynomials

As a math tutor, you deal with polynomials half the weeks of the year. A polynomial is an expression in which the variables can have only positive, whole-number exponents.  Examples of polynomials are 3×7-12×5+1 or  -2x – 12. In a polynomial,

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