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Wednesday 14th September 2016
How do we multiply and divide by powers of 10? Find out LIVE from the Year Six classroom.
We have been practising our order of operations (x ÷ + and -). We look at it in this order:
B - Brackets
O - Order (if anything is squared or cubed)
D - Division ÷
M - Multiplication x
A - Addition +
S - Subtraction -
So... with the calculation 5 + (2 x 3) ÷ (1+1) + 22
B - Are there any brackets? Yes let's do that first: 5 + 6 ÷ 2 + 22
O - Is anything squared or cubed? Yes let's do that next: 5 + 6 ÷ 2 + 4
D - Any division? Yes let's do that next: 5 + 3 + 4
M - Any multiplication? No
A - Any addition? Yes let's do that next: 5 + 3 + 4 = 12
S - Any subtraction? No
So our answer is 12.
It is fair to say that we have found this a bit tricky this week, but we love a challenge in Year Six!
Our way of remembering is:
Burgers? (Bring Down)
So if we want to work out 253 ÷ 12, we first write out our 12 times table to help us:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144
Next, we write it out like a bus stop:
Then we follow our pattern:
Divide: How many 12s go into 2? We can't do this so we put a zero and try How many 12s go into 25? Looking at our list, the nearest in the times table is 24, which goes into 12 2 times. We write 2 at the top.
Write: 2 times 12 is 24, so we write 24 underneath 25.
Subtract: 25 - 24 = 1
Bring Down: We bring down the 3 which creates 13.
We then start again.
Divide: How many 12s go into 13? The nearest is 1 12 so we put a 1 on the top.
Write: 1 12 is 12 so we write 12 underneath.
Subtract: 13 - 12 = 1
Bring Down: There is nothing to bring down so you have 1 remainder.
So our answer is 21 remainder 1
Or, as one out of twelve is remaining, we can write it as 21 and one twelfth.
Number of Days in a Month
30 days has September,
April, June and November
The rest are 31 days long
Except February - it's all wrong!
28 most of the time
But in leap year it’s 29.
Factors and Multiples
In Year Six we remember 'Factors go in, we make multiples'.
Factors that 'go in'to 12 are:
Factor Bug: 12
1 & 12, 2 & 6, and 3 & 4. 12 has 6 factors.
Factors that 'go in'to 13 are:
Factor Bug: 13
1 & 13. 13 only has two factors.
A prime number only has two factors so 13 is prime. (We've given the factor bug a hat to remind us that it is prime).
A square number is the product of a number multiplied by itself.
Factors that 'go in'to 16 are:
Factor Bug: 16
Factors that go into 16 are 1 & 16, 2 & 8 and 4.
It is a 'lopsided factor bug' (an odd number of legs) because it is a square number (4 multiplied by itself).
Highest Common Factor
Common factors of 12 and 16 are 1, 2, and 4.
The highest of these is 4.
The highest common factor (HCF) of 12 and 16 is 4.
We 'make multiples'. They are the answers that we find in a times table.
For example, multiples we make from 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40... etc.
Multiples we make from 5 are:
5, 10, 15, 20, 25, 30, 35, 40... etc.
As you can see, common multiples of 4 and 5 are 20 and 40.
The lowest common multiple (LCM) of 4 and 5 is 20.
Multiplying fractions: no big problem,
Top times top over bottom times bottom.
If you’re times-ing by a number that’s whole,
Times it by the TOP number to reach your goal.
Dividing fractions is easy as pie
Flip the second fraction then multiply,
If you’re dividing by a number that’s whole,
Multiply the BOTTOM number you’re on a roll.
When adding or subtracting is your game,
First the bottom numbers must be the same
Change it by multiply or divide
Do the same to the top – you’ve been advised!
And don’t forget to simplify
Before it’s time to say…
Handling Data Harvest Posters
As part of our harvest festival, we investigated the favourite vegetables and bread types of the whole school, collected our data and presented them in pictograms, bar charts and pie charts.