9-multiples using Make10

It's easier to just look at the number patterns in your times tables... on the right hand side of your numbers there's a repeating 5 digit number pattern for the 2, 4, 6, and 8 times tables which helps you predict what the next number it will land on, at least up until 100  for most times tables anyway. Really you only need them for working out smaller numbers because you're always trying to simplify the numbers to smaller numbers because they're much easier to work with. 

2 Times Table - The pattern is 2, 4, 6, 8, 0

4 Times Table - The pattern is 4, 8, 2, 6, 0.

6 Times Table - The pattern is 6, 2, 8, 4, 0.

8 Times Table - The pattern is 8, 6, 4, 2, 0.

As you can see... it's using the exact same numbers 2 4 6 8 0.

The 9 Times Table - It just counts down by one... 9, 8, 7, 6, 5, 4, 3, 2, 1, 0. It keeps going down until it reaches zero and then resets back to 9, and with this one it just keeps going with that pattern.

11 Times Table - It just counts up by one... 11, 22, 33, 44, 55, 66, 77, 88, 99, 111... and same with this one the pattern keeps going.

12 Times Table - The pattern is just the 2 times table.

EASY! :D All you're doing with this is letting your brain fill in the numbers and predict where it will land next for you because it knows numbers.

As for the 7 Times Table it's just not necessary to learn when you can use Commutative Property to switch the numbers around when adding or multiplying. That one has a 10 digit number pattern like the 3 times table that is just too hard to learn for most people, 3 times table is easy because it's a tiny number but... 7 not so much...

So say you have 7x8 or 7x6... 7+13 or 6+12... just switch them around to 8x7 and 6x7, 13+7 and 12+7, it makes life so much easier when you can just lean on the number patterns of the other times table and add the smaller number onto the bigger number :D.

A good way to practise this is just through doing some easy multiplication and addition sums, for multiplication just write the number patterns and fill in the numbers, so then you get used to the patterns and where the numbers land. I learn my times table by just doing this because it seems nobody really wants you to know it's possible to do this.

Thank you for your reply.

Two issues with your 9-multiples method: first, it seems to be a method to list the 9-multiples in sequence - as opposed to getting a specific answer.  This method is similar to the 9s table hack where you list 0 thru 9 in the first column; then reverse the process for column 2…except your method does not provide an answer for the 10s place.  

The problem with both methods is you never need a list of the 9-multiples.  You need a specific answer.  For 9 x 8, does the student go thru your countdown/number-sequence until they get to the 8th digit to arrive at 2?  Then, how do they know the 10s digit?  

Each time you change numbers, it’s a step.   Each time you make a calculation, it is a step.   These methods have 10 to 20 steps.

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The method I shared is just 2 steps….on the SAME number.
The steps are two of the simplest/fastest calculations in math: Count back by 1 and Make10.
(see explanation above on how K/1st graders perform these ops)

Please try the method yourself, and try it with an early elementary student that has knows make 10.  You/they will be amazed!   Takes less than a minute to learn, in my experience….even at 6 years old.

As indicated above, just look at any single digit.  Count it back one AND make it a 10.
See the video link for an example/teaching tool.

The reason this method is so important is that it replaces looking up the 9-multiples and/or memorizing them.  You can calculate the answer faster than you can say or write it.  Students waste millions of hours per year looking up the 9s, memorizing them, and/or learning a trick/hack that is too complex/slow to replace memorization.  The hands method for calculating the 9s is useful - but only for students unable to pair a simple countback with Make10....and every K/1st grade student should be an expert at Make10. It is the start of thinking of numbers as components (something they can break apart and put back together).  That's another plus of this method - they get to practice Make10.    

It gives you what multiplication sums they are when you use your fingers as you use the sequence of numbers, you don't need a specific answer at all you're just using the sequence of numbers to help your brain very easily predict where they're going to land next without much effort at all, for the 2, 4, 6, and 8 times table they're the same numbers as the first five numbers of the 2 times table, except in different combinations because they're all even numbers so they all divide by 2, and all you need to do is remember the first 5 numbers it's very easy. It's then easy to just predict what comes next cos of the number patterns at least up to 100 and you can just keep going for longer for the couple times tables where the pattern keeps going.

For the 9 times table it's just easy to remember it goes down by 1 until it reaches zero there's nothing more to it and you only have to lift up your ten fingers one at a time to tell what multiplication sum it is :P and same for the 11 and 12 times tables. Some people say finger counting is bad but it's always useful especially for multiplication and division.

All i did was look at a times table chart a few times to get used to what the first 5 numbers are and then as i drew the sequence of numbers for each of the times tables i used at random when just practising on some multiplication sums, i just let my brain fill in the numbers and write them next to the numbers patterns i wrote, until... i didn't need to keep writing them and filling them in anymore cos my brain had adapted. It didn't take very long either like by the end of getting through the multiplication and division stuff i just knew. You can still write the numbers patterns though if you ever need to find a number past 100 for some reason and will take you a couple mins to just fill them in up to 100 then predict where it lands next.

I also remember that 2x5=10, 4x5=20, 6x5=30, and 8x5=40 which are the zeros at the end of the 5 digit number patterns so i can just easily shortcut to them rather than trying to count through your times tables, and of course i remember other shortcut sums to go along with it. 2 times table the patterns keeps going on forever too and same for your 5 and 10 times tables.

it's meant to be different to the rotary method that just doesn't work for most people because they try to get you to remember every single multiplication sum like 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10... and on and on... oh that's just tedious and impossible when numbers go on infinitely, each repeating sequence of numbers you know what those numbers are just by looking at them.

So you don't have to worry about trying to remember all the multiplication sums with the pattern of numbers, and bigger numbers? of course then we use carrying/regrouping to work out those. It took my very little conscious effort because i just know numbers already.

I think there are easy methods/hacks to learn the 2s, 3s, 4s, 5, 6s and 10s.  The suggestion posted was for the 9s so let’s focus on the 9s, ok?
 
I posted a method that makes the 9s easier to calculate than the 2s are to memorize! It's so fast and simple that students no longer need to memorize the 9s.  It takes < 1 minute to learn.  They are simply linking two skills acquired in kindergarten.

Your method seems very complex.  It involves going thru a sequence of numbers (and involves fingers) to get an answer.  Far too slow to replace memorization.  

Again, please list the number of steps to get 9 x 8 =
(include each finger change as well as each step in the sequence)

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Have you tried the Make10 method for calculating the 9s?

Tried it with a student that knows Make10 and how to do a countdown from 10?

(These two skills are part of the K/1st grade curriculum.  If they are in 2nd/3rd grade, you may need to have them Make10 with a few numbers before teaching this.  Since Make10 is the start of learning how to break apart and put numbers back together, it is a pivotal math skill.  The time used to review Make10 does not count toward learning this skill. :)

If you do the above, it should take less than a minute for an early elementary school student to do this two-step….saving them hours otherwise wasted looking up the answer or trying to memorize the 9s.

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As mentioned previously, there are dozens of Make10 exercises and games to choose from; it is unclear why one would not include this exercise.  Students get to practice Make10 AND they learn the 9-multiples.   It is actually easier than most Make10 exercises because there is no remainder to carry.

I'm not a teacher or anything but i've seen it all back in my school days they tried so many things lol none of which worked on most of us. It's more to remember than simply remembering that your 9 times table just goes down by 1 from 9 down to 0 and then looking at your times table grid one that doesn't have the multiplication sums on it, just looking at it until you get familiar with the numbers. I think if i was showed Make10 back when i was in primary i'd keep getting confused as to how ten could relate to 9 because they don't divide into each other and i'd keep thinking i'd have to literally make 10 with the numbers.

KA put a lot more emphasis on using Place Values from the beginning which is why you have some practise questions even in Early Math that breaks apart the numbers where you add them together then Associative Property further solidifies Place Values. Through it you learn how addition, subtraction, multiplication, and division functions using the numbers, but with that all you do is just add or multiply two or three small numbers together, straight away you're getting into learning how to see the numbers and how they can be changed around, i learned it all from scratch and it was so easy.

I think what KA could use is some stuff that helps people learn all their times tables but how they don't have to learn their 7s because they can just switch the numbers around and use the other number once in some way... they can do their other times tables well. It does have something on how to draw a times table grid of your own though where you just write 1s, then 2s, then 3s and then fill in the other numbers, but we have to find other resources else where to learn the times tables maybe at least it could show several different strategies on learning them. I know some people like to do like 9=10-1 or 18=20-2 not something that resonates with me but it may help people who struggle with numbers.

You’re right, there are a lot of hacks/tips/tricks out there for calculating the 9s.  They are not fast enough to replace memorization.  So..add the wasted time learning these tricks to the time looking up 9-multiples and memorizing them.  Millions of hours per year..wasted.  Every year.  Year after year. 

When students learn Make10 (K/1st grade), they do not know about division so they would not be confused about whether 9 goes into 10 or vice versa.  However, they have just learned Make10 and how to do a countdown from 10.

This method is different from the others.  It is fast enough to replace memorization for three reasons:

1) ONE number stays in the brain’s ‘register’ for both steps. (this is huge - the main reason it’s so fast)
2) The first step is a count back (minus 1).  After students learn a countdown from 10.  They don’t recite the numbers by subtracting 1 each time.  They have MEMORIZED the order. They know what number comes next.
3) The second step is Make10.  After K and 1st graders learn Make10, they do not do it by solving an equation like: 6 + ___ = 10.   They fill the 'space' between the starting number and 10. The mind snaps forward to 10 because 10 is 'magnetic'. 

Counting the steps of a process and analyzing the difficulty of the steps for the intended audience is helpful; however, the proof is in the results. If you get a chance, please try it with a young student - or anyone else that has not learned the 9-multiples.  

This video outlines one way to teach the Make10 method for calculating the 9-multiples: http:// https://www.youtube.com/watch?v=fM9NEiFkl2s