One of the steepest learning curves, multiplication can be a hard nut even for math-savvy kids. We make it even harder asking kids to learn it by rote. Thus, instead of understanding numbers, scholars just memorize them. How clear things up and accelerate the process of learning? Discover the secrets of times table. I wish they had taught them in school.

Look at these multiplication examples:

No matter how smart kids are, they won’t be able to find any consistent patterns or rules in these lines. Visually, they’re cluttered with information, but the practice shows that they don’t facilitate the process of learning. Kids may only read and memorize – it’s too inefficient.

Now, look at the so-called Pythagor’s table. It makes the process of memorizing much, much easier. Kids who have mastered the basics of maths will find certain rules and patterns in this table. Once remembered, the patterns won’t disappear from their mind.

Things that we invent and think out ourselves don’t leave memory as opposed to the information we’re told or learn by heart

# 3 Secrets of Times Table

Here are a few rules that make the process of learning so much simpler!

## 1. A kid can learn only half of the table

A child can learn only half of the table because the rule “Changing the order of the addends does not change the sum” applies to multiplication, too.

3 x 4, or 4 x 3 – order doesn’t matter. The result will be 12 in both cases.

## 2. You can draw a rectangle to count the number

Let your kid select any number and ask to draw a rectangle with the opposite corner in the zero. Now count the number of squares in this rectangle – it will equal the chosen number. Here, you also learn the famous geometrical theorem: the rectangle space equals the product of its sides.

## 3. The magic diagonal will show you the answer

There’s another curious rule: the numbers located symmetrically towards the parallel in the center of the table are equal. In fact, the halves of the times table mirror each other. That also explains the first rule mentioned above.

A times table like that makes multiplication and division so much easier! There’s no extra information – simply facts and rules. Such table makes kids think and find necessary information much faster.

## Bonus: Tips for more efficient learning

Now when the secrets of times table are revealed, your kid can start learning it. Here’s what you should consider to ease the task:

- The times table can be learned in chunks. Say, start with the section up to 5×5 – it’s the easiest one. Then move to 5×9, and gradually move to 6×6 and 6×10.
- Use online trainers to boost multiplication skills – it’s convenient and efficient for learning.
- Every number has its tricks. Once your kid remembers them, multiplication will be done in a jiffy.

Aside from the tricks, you can use the patterns, for example:

2x is doubling the number, or adding the number to itself (2×2=4, 2×3=6, 2×4=8, etc), so the pattern is:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

5x also has pattern: 5, 10, 15, 20, 25, 30, 35. It ends either in 0 or 5.

9x patterns looks the following way: 9, 1**8**, 2**7**, 3**6**, 4**5**, 5**4**, 6**3**, 7**2**, 8**1**, 9**0**

There’s also one trick to help, you’ll need to use your fingers. To multiply 9 by 8, hold your 8th finger down, and you can count the fingers on both sides. They form “7” and “2” … the answer is 72. That rule applies to all 9x combinations.

10x pattern is the simplest one: the results always end in 0 (10×2=20, 10×3=30, 10×4=40, etc.)

Knowing the secrets of times table and multiplication, your little one won’t need to memorize numbers. With a proper understanding of how multiplication works, any schooler can master maths without problems.