miércoles, 14 de enero de 2015

A Different Approach to Maths

This post is for all those people who consider themselves bad at maths. 

This post reblogged from BabaMail shows seven different ways to think about math concepts using fingers, lines and illustrations - a different way to learn some vocabulary and and practise your reading comprehension in English

Math Tips You Wish they Taught in School

It’s been a while since we attended school and age hasn’t been kind to our memory either. As time passes, most of us lose most of our mathematical abilities leading us to rely more and more on calculators. If you want to improve your math skills and even be able to help your kids, learn how to use these quick and easy methods.
Easy Math Tricks
1. Calculate multiplications of 6,7,8,9 by using your fingers
Did you ever memorize the classic multiplication table? While calculating multiplications of 1-5 are usually easy, when we go to 6 and higher, many of us start to stutter. This easy method is not taught in most schools, but it’s very quick and intuitive:

  • Assign numbers to every finger, the pinky being number 6 and the thumb being number 10.
Easy Math Tricks
  • If you wish to calculate 7x8 (pictured below), touch the assigned fingers.
Easy Math Tricks
  • The number of fingers below, including the touching fingers, is the tens. (Pictured below, 5 fingers = 5 tens or 50)
Easy Math Tricks
  • Now, multiply the remainder fingers to find the units. (in the example,3 fingers multiplied by 2 fingers = 6)
  • Add the units to the tens, and you have the result – 56.
Easy Math Tricks
2. Quickly calculate multiplications of 9
To calculate the multiplications of nine, you just need to remember that the tens increase and the units decrease, and the sum of the total always equals nine.
Easy Math Tricks
3. Calculating multiplications of eleven with 2-digit numerals
  • This calculation takes two simple steps:
  • In the first step, split the digits, then one becomes the hundreds, the other becomes the units.
  • In the second step, sum the digits and the result becomes the tens.
Easy Math Tricks
4. Quickly calculate fractions
Even though fractions are not something most of us deal with on a daily basis, this method is very useful, especially for school-age children.
  • Turn the multiplication into a “butterfly” by drawing diagonal ellipses, then multiplying the digits in each ellipsis. (In the example below, 3x5and 4x2)
  • Write the results down in the appropriate “feeler”.
Easy Math Tricks
  • Multiply the denominators and write it under the butterfly. (In the example, 4x5=20)
  • You now have the common denominator (20), and by adding the two numbers on the top of the butterfly, you have the numerator. (In our example, 15+8=23)
  • You can now simplify the fraction from  to .
Easy Math Tricks
  • This method also works when you want to subtract fractions, but to do this, you will need to subtract the top numbers instead of adding them.
    (In our example, 15-8=7)
Easy Math Tricks
5. Multiplying double-digit numbers
Multiplication can become harder when the numbers get bigger, but it doesn’t have to be. This method will help you get over this, and you’ll find that the larger the number – the easier it gets:
  • Subtract 100 from each number.
  • Add the results, and then subtract it from 100. The result will become the thousands and hundreds digits.
  • Now multiply the two first results and you’ll get the tens and units.
Easy Math Tricks
6. Multiplying double and triple-digit numbers
Another method to multiply double-digit numbers is the “line method”, which also works on multiplying triple-digit numbers. It is vital that you remember to maintain a left-to-right writing direction, even when drawing the lines:
  • Begin by drawing diagonal lines to represent each digit. The other number will be drawn in a crisscross manner shown in the example below.
Easy Math Tricks
  • Split the drawing into three sections. Each of the three areas represents the hundreds, tens, and units.
Easy Math Tricks
  • Count each cross-point in each section and write them down one after the other. (Left=1, middle=6, right=8)
Easy Math Tricks
  • And your answer is 168.
Easy Math Tricks
To do the same for a triple-digit number, follow the same method, but notice that now you will have 4 sections instead of 3.
Easy Math Tricks
Easy Math Tricks
Easy Math Tricks
7. For kids: How to write “greater than”
  • Think of the sign as a hungry mouth that always wants to eat the bigger number!
Easy Math Tricks

Thanks to Pete MacKay for the link.

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