Hi Kilmuir:
First off there is a trick to the order you learn times tables.
x0 is awesome - anything x 0 = 0.
Great fun to do 1 billion, quadrillion, zillion x 0 = 0
4 tigers and 3 bananas x 0 = 0
etc....,
x1 is easy it's just adding another one -
one one = 1
two ones = 2
three ones = 3
etc...
My teacher taught us to think of 1 as a mirror - anything x 1 is itself.
1,000,000 x 1 = 1,000,000
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Next up are 2, 5 and 2. These are taught in year 2 - so if your DD is 7 - this may be about right (depends if she's Y2 or Y3 really).
x2
This is about teaching the concept of doubling.
Sometimes easiest to do this with candies, fruit or buttons.
two ones = 2
two twos = 4
two threes = 6
Other tricks - walk down the even side of the road and have your DC count by 2s (just last number if you want and later all numbers as confidence grows).
introduce the concept visually first and then move on to written sums
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
When you teach this really look at the patterns with your DC.
Note 2nd column - 1, 2, 3, 4, 5, etc....
Note 3rd column - 2, 4, 6, 8, 10 etc....
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x5 is again counting by 5s first - again can use fingers, fruit, sweets, etc....
get the idea first and then move on to sums on paper.
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x10 is again about counting by 10s first - again use fruit or buttons, legos, etc... and add them up.
The point of 10 - is that it shows you that counting up individual ones (units) takes ages. So learning your multiplication is about doing it fast.
Once you've got the concept - again do some sums on paper.
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At this point it is really important to show them that mutliplication is the same whichever way you write it -
2 x 4 = 4 x 2 = 8
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Once you get the idea of doubling - you're in business.
4 and 8 are all about doubling.
Know your twos - then double again for 4s
Know your fours then double again for 8s.
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With 3 - you have to learn by counting by 3s.
Several tricks. But fingers work well. Hand palm down. You have two nuckles and a nail - count them for the finger.
So four x 3. Hold up four fingers and count 1,2,3; 4, 5, 6; 7, 8, 9; 10, 11, 12.
Once you've got your threes down (and this can take a lot of practice).
Then you can double away with 6 and 12.
Know your threes then double for 6.
know your sixes then double for 12.
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To recap - that has you knowing
0, 1, 2, 3, 4, 5, 6, 8, 10 and 12 to x 12.
Now there are a few gaps.
I tend to save 11 for when they need a bit of a break from the hard work - you can introduce it now - or if they're enjoying themselves save it for later.
Next up is 9;
9 is fantastic - it's magic for patterning.
1 x 9 = 09
2 x 9 = 18
3 x 9 = 27
4 x 9 = 36
5 x 9 = 45
...
10 x 9 = 90
11 x 9 = 99
12 x 9 = 108
First off up to 10 - the answer always starts one less than whatever number your multiplying 9 by - so 4 x 9 - will start 3?.
The ? is easy to solve because the answers alwas = 9. so 3 + ? = 9 - well that's 6. so 4 x 9 = 36.
over 10 - the number pattern thing doesn't work - but the answer units all add up to 9 eventually - so for 9 x 11: 9 + 9 = 18 and 1 + 8 = 9
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Why not introduce 11 now (for a bit of an easy ride).
Great fun to 9 - just double whatever you're multiplying by:
11 x 9 = 99
11 x 8 = 88
etc...
10 and over there's a trick.
Separate the first and second number and add them for the middle - like this
11 x 11 = 1 - 1+1 - 1 = 121
14 x 11 = 1 - 1+4 - 4 = 154
Now sometimes you have to do a bit of carrying
28 x 11 = 2 - (2+8 = 10 - will need to carry) - 8 = (2+1) - 0 - 8 = 308
Pretty snazzy stuff.
That leaves 7.
The reality is you know them already - except 7 x 7 - which is 49 and there's no trick - just have to know it - or add up from 6 x 7 = 42 (which is 3 x 7 = 21 and then doubled = 42).
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Games to help:
SNAP has to be top for building speed. Make aces 1 and Jacks 10 - use all four suits. Chose the times table you're working on. Shuffle cards and flip away. You keep the cards if you shout out the right answer. Winner has the most cards at the end.
(be kind and let them win at first - and when they're better at it - really go for it with them).
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Great on-line help:
Table trees: www.amblesideprimary.com/ambleweb/mentalmaths/tabletrees.html
Woodland Junior Mathszone: resources.woodlands-junior.kent.sch.uk/maths/timestable/index.html
Mumsnet has a timestable square to use here: www.mumsnet.com/learning/maths/interactive-times-tables-activity
Mumsnet also has link to maths champ - great games to help build those number skills there too: www.mathschamps.co.uk/#home - 7 is on the border line between 5 - 7 and 7 - 9 games (7 - 9 is Y3/Y4 really) - try a few out first to ensure they're not too difficult.
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When they've got that all down pat - then you can work those inverse multiplication facts - i.e. what x 9 = 45. This is first steps toward division and again speed of calculation is a real help here.
Woodland Junior school has some good division practice here: resources.woodlands-junior.kent.sch.uk/maths/division.htm
Attitude is everything - be positive. Your DD will get there in the end. If it remains a struggle - have a look at Mathsfactor times table school or arithematic school - lots of practice all set up and all you have to do is turn on the computer! www.themathsfactor.com/times-tables.aspx or www.themathsfactor.com/ - other parents have praised Maths Whizz, Kumodo and Mathletics here as well (have to dash now so can't paste in links - but just google and have an explore - all should offer free trials.
HTH