Year: 2015

Math and Multimedia turns 6

Miscellaneous

Math and Multimedia turns 6 today. This blog started in 2009 in WordPress.com and since then has been updated at least three times a week. Mathematics and Multimedia is a blog that discusses mathematics concepts from elementary school mathematics up to university mathematics, provides suggestions and tutorials on how to use multimedia materials and apps in mathematics, and share useful teaching and learning materials.

As of today, Math and Multimedia has 1152 articles and has garnered 2.3 million page views. Below are the most popular posts in terms of number of shares.

  1. 14 Useful Sites on Paper Folding Instructions and Origami Tutorials
  2. How to Construct a GeoGebra Heart Graph
  3. 7 Extraordinary Mathematicians You Should Know About
  4. 15 Math Pickup Lines to Try This Valentine’s Day
  5. The Explanation to the Infinite Chocolate Bar Trick
  6. 10 Notable Mathematicians Who Died Young
  7. 7 Amazing Facts About Pascal’s Triangle
  8. 6 Prodigies in Mental Math Calculation Who Stunned the World
  9. TED-Ed’s Interactive Periodic Table
  10. 1300 Free K-12 Mathematics Lesson Plans and Activities

You can follow Math and Multimedia on Twitter, Facebook, and Google+.

Happy learning!

Happy Teacher’s Day!

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Derivation of the Area of a Rhombus

High School Geometry, High School Mathematics

A rhombus is a parallelogram whose sides are congruent. The diagonals of rhombus are perpendicular to each other. They also bisect each other. In this post, we are going to find the general formula for finding the area of a rhombus using these properties. We are going to learn two methods.

Method 1

Consider the rhombus below.

area of a rhombus

We can divide it into two congruent triangles using diagonal d_1. Since the diagonals of a rhombus are perpendicular to each other, we can use d_1 as base and one half of d_2 as the height of the upper triangle (Why?). If we let A_T be the area of the upper triangle, then, calculating its area, we have  » Read more

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Proof Without Words: If x >0, x + 1/x >=2

High School Algebra, High School Geometry, High School Mathematics

A picture is worth a thousand words, even in mathematics. Sometimes, complicated algebraic expressions can be shown using very simple geometric representations. One example is the sum

\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \cdots

which equals 1.

In this post, we show another proof without words. Proof without words is not a proof per se but rather a representation that will help readers understand a proof. » Read more

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