One sentence, one sum. - third
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Transcript One sentence, one sum. - third
One sentence, one sum.
By Mark
The simple sentence and the sum.
The simple sentences
Wilf ran for the bus. Wait! He ran faster. He got to
the bus stop just in time.
The sum
Percentages. Question, what is 25% off £160?
We will look at a cake and how big a bite 25% is.
It’s one quarter.
25% of 160 is .25 X 160 = one quarter of the
cake, which is 40.
Introduction
The simple sentence
Capital letters
Verbs: doing words!
The simplest sentences.
A simple sum
How to reduce an item by a percentage in a shop
The original amount.
The discount
The simplest method
The answer
A simple sentence.
A doing word.
Wait! ; Go. ; Run?
All these word sentences have some
things in common: They start with a big
letter ‘a CaPiTaL letter’ they also do
something that doesn’t need any other
word to explain. You won’t normally see
single words as sentences, however,
they are allowed.
Your turn!
What one word sentences can you think of?
You can do this exercise on your own, or in a
group. See who can come up with the most
one word sentences in 2 minutes.
Write down the ones you hear someone else
say or look in a dictionary for other doing
words that can make a sentence.
Another simple sentence.
In technical language we have subjects and predicates and other
things, but we aren’t going to use that language in this class.
However we can talk about what it means
Our simple sentence for the day has a ‘C’apital letter
.
to start, a noun, a verb, and a full stop
Wilf ran. (Wilf is a name, and he ran!
Wilf ran for the bus.
Big Wilf ran quickly for the bus.
Big Wilf ran for the bus, but he missed it.
Your turn!
Write three sentences about Wilf.
Sentence summary
We have looked at:
Capital letters ABC…
Full stops
Commas
Doing words and exclamations: Run; go; see; cook;
write etc.
Very simple sentences.
…
,,,
The sum.
We are going to do a percentage (%)
reduction.
What is a percentage? Well, it is a bit of
something, maybe a slice of cake for
example. We are going to use a slice of cake
for this example.
The whole cake is 100%, If you take a slice
and eat it then some of the 100% is now in
your tummy, the question is how much
Dividing the cake
If you were hungry you could have eaten half
the cake, 50%
If you were starving you may have eaten
three quarters of the cake, 75%
And if you had had a big lunch you may have
eaten quarter of the cake, 25%
We are going to use this cake to talk about a
discount in a sale.
The sale item
You want to buy a digital camera and they
are in the summer sales. There was a really
nice one that was 149.99, very expensive,
but really nice!
It’s now in the sale and they are offering 40%
discount, now that’s more like it.
So now for the sum without a calculator. How
do you work out 40% of 149.99 without a
calculator?
Easier than it sounds
A bit like our big cake. You take a big, big mouthful,
and there is just a bit more than half left, how to
work it out?
Well what you do is times the original amount
149.99 by 40. Lets make it 150 and times it by 0.4,
(the same as 40%) We get 0.4X150=60. We then
take 60 off the original price, leaving us with 90. The
new price then is 90.
That is 150-40% or 0.4x150.
Back to the cake
We have eaten nearly half the cake, 40% to
be exact, how much is left, lots!
We can say the original amount times the
amount left so 1 x .6 = .6
In other words 149.99 X 0.6 = 90
Cake baking easy!
Your turn!
Think of something you’ve been looking at in
the shops but has been too expensive. You
are waiting for the sale. That item is now 30%
cheaper than it was. In groups, or on your
own decide on the item and work out the
discount. Present your sum to your partner
and check answers.
Well done.
Conclusion
We have looked at:
Turning percentages into slices of cake.
How to work out the discount on that digital
camera you’ve been looking at.
You have had a go yourself, and checked
answers.
Well
done!