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Author: Jack

Math: Finding Square Root or Cube Root from Prime Factorization

By Jack Posted on May 4, 2013 Posted in math

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: …

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Math: Introduction to Polynomials

By Jack Posted on May 1, 2013 Posted in math

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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Biology: Alternation of Generations

By Jack Posted on April 26, 2013 Posted in biology_11

I’ve always found this topic a bit tricky.  As a biology tutor, it’s time to give my own explanation. Alternation of generations refers to the idea that the life cycle of a moss, for instance, comprises two distinct phases:  one …

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Math: when to use Permute, when to use Choose

By Jack Posted on April 23, 2013 Posted in math

With counting problems, the math tutor needs to explain the uses of permute and choose. Permute and choose are counting functions.  Found on any scientific calculator, they look similar to nPr and nCr, respectively. You use permutation (nPr) to count the number …

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Math: How to read logs

By Jack Posted on April 17, 2013 Posted in math

Logarithms – logs, for short – are a perennial for the math tutor. What is a log?  You see the button on your calculator, but only in high school (if ever) do you likely find out what it means. First, …

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Math: Inequalities and Number Lines

By Jack Posted on April 10, 2013 Posted in math

As a math tutor, you’ll likely need to sort out a few basics about inequalities. Generally, people prefer equations to inequalities.  Perhaps it’s for the reason that people like one definite answer to a problem:  for instance, “x=5”.  An inequality …

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Biology: Matters of the Heart

By Jack Posted on April 5, 2013 Posted in biology_12, nursing

When you tutor Biology 12, you need to discuss the heart. As is commonly known, the heart is a muscular pump.  Its beat pushes the blood through the vessels to every part of the body. The human heart has two …

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Math: The Statement and the Contrapositive

By Jack Posted on March 31, 2013 Posted in math

For a few years, this topic fell from view.  As a math tutor, I’m glad to see it back. To a person studying logic, the statement “p implies q” also means “if p, then q”.  It can also be written …

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Math: the meaning of a negative exponent

By Jack Posted on March 26, 2013 Posted in math

As a math tutor, you’ll need to remind students about this exponent law. Most exponent laws people find pretty straightforward.  I’ll likely cover them in a future post. However, this particular one deserves its own; most people just don’t like …

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Math: Evens and Odds

By Jack Posted on March 19, 2013 Posted in math

What’s the difference between evens and odds?  When you’re a math tutor, you might need more than the obvious answer. Everyone knows that 0, 2, 4, 6….are even, whereas 1, 3, 5, 7, 9….are odd.  Negative numbers can also be …

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