Month: March 2012

Week in Review 2 – March 2012

Post Summary

It’s a sunny Sunday morning here in Manila, and we are starting to feel the heat of summer.  April and May are the  summer months here in the Philippines — the time for beach and swimming.

However, to those who want to stay at home today, here are the list of posts for this week for your reading pleasure.

Mathematics and Multimedia

My Other Blogs

GeoGebra Tutorials Update (now version 4.0)

Explore Math and Multimedia

Subscribe & Share

That’s all for this week. Have a blessed Sunday!

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Microsoft Mathematics Tutorial Series

Microsoft Mathematics, Software Tutorials

Last year, I have shared to you about Microsoft Mathematics, one of the best free and downloadable graphing calculators that can be used for teaching and learning mathematics. Starting next week, I will be posting step-by-step tutorials on how to use it. Here are the tentative titles of the tutorials:

  1. Microsoft Mathematics Tutorial 1 – The User Interface
  2. Microsoft Mathematics Tutorial 2 – Performing Numerical Computations
  3. Microsoft Mathematics Tutorial 3 – Equations and Inequalities
  4. Microsoft Mathematics Tutorial 4 – Plotting 2D, 3D, and Polar Graphs
  5. Microsoft Mathematics Tutorial  5 – Using the Triangle Solver
  6. Microsoft Mathematics Tutorial 6 – The Unit Converter
  7. Microsoft Mathematics Tutorial 7 – The Ink Input

If you are interested to follow the tutorials, you may download Microsoft Mathematics here and subscribe to Math and Multimedia.

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The Mathematics of Leap Years Explained

High School Mathematics, Math in Real Life

Year 2016 is a leap year!.  The years 2000, 2004, 2008 and 2012 are leap years too, so you probably see the pattern that the years divisible by 4 are leap years. Now, is this always true?

The answer is NO. The years 1900, 2100, 2200, and 2300 are divisible by 4, but they are not leap years. Uhm, are all years  divisible by 100 not leap years?

The answer is still no. The years 1600, 2000 and 2400 are divisible by 100, but are leap years.

If you are a little bit confused, examine the GB Leap Year Test (wink) diagram below.

As we can see, if a year is divisible by 4 and not divisible by 100, then we are sure that it is a leap year. So, 1924, 1936, 2028 are leap years (Can you give four more examples?).

Now, if a year is divisible by 100, we are not sure if it is a leap year yet; we need to test if it is divisible by 400.  If it is divisible by 400, then, it is a leap year, otherwise, it is not. So, 1700, 1800, and 1900 are not leap years, but 1600 and 2000 are leap years.

We can summarize the discussion above as follows.

  • Years that are divisible by 4 and not divisible by 100 are leap years.
  • Years that are divisible by 100 but not divisible by 400 are NOT leap years.
  • Years that are divisible by 400 are leap years. » Read more
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