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Category: math

Math: Expected Value

By Jack Posted on August 16, 2013 Posted in math, statistics

Tutoring math, you might be asked about statistics, in which expected value is an early topic. In many everyday situations, the expected value is equal to the mean, aka the average.  The difference is more in definition than in practice.  Expected value involves probability, whereas mean …

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Exponential Growth: an interesting application

By Jack Posted on August 14, 2013 Posted in math

Tutoring math 12, exponential growth is “always on my mind.” Years ago, I used to read the Economist.  Eventually I became too busy to keep up with it, but I always enjoyed it when I could. One of the last …

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Math: inflation and interest

By Jack Posted on August 8, 2013 Posted in math

Recalling the 70s and 80s, the math tutor proposes a nostalgic premise for your coffee break. Inflation eats away at your money.  Right now, inflation is very low; it has been since the late 90s. However, in the 70s and 80s …

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Math: Factoring Easy Trinomials

By Jack Posted on August 4, 2013 Posted in math

As a math tutor, you teach and review this method constantly. Back in May, I began a series of posts about factoring polynomials.  To refresh the topic, you can check here, here, and here. Factoring polynomials is a make-or-break skill …

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Math: solving percents with cross-multiplication

By Jack Posted on July 28, 2013 Posted in math

As a math tutor, you encounter this topic often – especially with students in vocational training. Many ways exist to tackle percents.  However, the advantage of the cross multiplication method is its usefulness in virtually any situation involving them. If …

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Math: What is a “perfect number?”

By Jack Posted on July 16, 2013 Posted in math

While enjoying this surprisingly fine summer, the math tutor recalls a definition. When I was a kid, I read in one of my math texts (it might have been grade six) that a “perfect number” is one whose factors (except itself, of …

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Math: What is a Radian?

By Jack Posted on July 9, 2013 Posted in math

When you tutor math, you explain radians every semester to your grade 12 students. Most people begin measuring angles in degrees.  However, you can also measure an angle in radians.  1 rad≈57.3°. While degrees come from (I am told) Babylonia, …

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Practical math: Some easy conversions from metric to imperial

By Jack Posted on July 3, 2013 Posted in math

As a math tutor, you realize that conversions from metric to imperial are part of the grade 10 curriculum.  Let’s talk about a few that don’t need a calculator. Even though the (Canadian) high school student grows up in a …

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Math: More about logs

By Jack Posted on June 27, 2013 Posted in math

Understanding logs is critical to anyone who needs to pass math 12 precalculus.  Your tutor will give you a new point of view about them. Imagine you have this equation: 3^x=46 The solution is x=log46/log3 Now let’s evaluate the decimal using …

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Math: Factoring: Difference of Squares

By Jack Posted on May 26, 2013 Posted in math

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 + …

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