What even is American Grade 1 Maths?

Walk us through how you in your head make say 7+8?
If we were sitting in a pub and out of the blue you said to me "what's seven plus eight?", I'd just reply "fifteen". I have no idea what process is going through in my head, I'd just know the answer.
 
If we were sitting in a pub and out of the blue you said to me "what's seven plus eight?", I'd just reply "fifteen". I have no idea what process is going through in my head, I'd just know the answer.


OK no problem

36+75

87+698

365+12

Just as the bigger numbers will make it less instant light bulb
 
OK no problem

36+75

87+698

365+12

Just as the bigger numbers will make it less instant light bulb

40+80 = 120.

- 4 = 116

- 5 = 111.

Do the same for the rest e.g. 90+700.

This absolutely is what you call rounding up, you just subtract what you rounded to after.

If the last digit in the number is under 5 then do the opposite with rounding down.

This isnt difficult, and the method in the OP makes it harder.
 
Walk us through how you in your head make say 7+8?

For me id probably go

2 from 7 to 8 to make 10, 10 plus the 5 fromt he seven makes 15 etc


It's trying to formalise that process.

I'm assuming your brain doesn't just give you a savant style answer you have to work

For 7+8 I would go

2x8 -1

If maths gets too hard I pick up a calculator.
 
OK no problem

36+75

87+698

365+12

Just as the bigger numbers will make it less instant light bulb
I work through (this makes it sound far more taxing than it is :p) the same 'make ten' style process but not necessarily always to a ten, just to an easier number sometimes.

36+75 to 31+80, then 11+100.
87+698 to 85+700
365+12 to 375+2
 
I just enjoy the look of confusion when presenting the correct coinage at the checkout using silver copper and notes.
 
I work through (this makes it sound far more taxing than it is :p) the same 'make ten' style process but not necessarily always to a ten, just to an easier number sometimes.

36+75 to 31+80, then 11+100.
87+698 to 85+700
365+12 to 375+2


Exactly!
This is just teaching that skill to someone who has no concept of it.

These methods are like tools in your tool box, you could have a hand drill 75+1+1+1+1+1+1....
Or a power tool 31+ 80 +(11+100)
 
I just enjoy the look of confusion when presenting the correct coinage at the checkout using silver copper and notes.

On this note I had a mental case once that underpaid me by a bit over £2, and didn't understand 'The total bill is £35.xx, you've only given me £33' and he proceeded to have a mental fruitcake strop every time I explained it.

The lady behind him had to intervene, take a £2 coin out of his hand and give it to me, and told him 'Don't worry, you need to give him this and he will give you change'.
 
For 7+8 I would go

2x8 -1

If maths gets too hard I pick up a calculator.
Totally valid too, you had your times tables drummed into you so 2x8 (also as we're all computer nerds so know the 8 series well) is a super easy answer for you.


Harder when you don't know what 8x2 is though :p
 
40+80 = 120.

- 4 = 116

- 5 = 111.

Do the same for the rest e.g. 90+700.

This absolutely is what you call rounding up, you just subtract what you rounded to after.

If the last digit in the number is under 5 then do the opposite with rounding down.

This isnt difficult, and the method in the OP makes it harder.


So you see here you've made up imaginary extra numbers/objects very easy for us as adults as a concept to grasp.

But this is a 5 year old so they're still at the 1 have 8 beans 36 add 75 more beans how many do I have.

The idea to invent some new beans then remove them later is a bit too far along the chain.

It will be met with endless "but where did the 4 come from!!!?!?!"
 
Exactly!
This is just teaching that skill to someone who has no concept of it.

These methods are like tools in your tool box, you could have a hand drill 75+1+1+1+1+1+1....
Or a power tool 31+ 80 +(11+100)

Its teaching the skill in a far more complex manner than it needs to be making something extremely simple far more difficult to understand.

I remember one of my maths teachers simply said 'Multiplying by 5 is easy, everyone can multiply by 5 in their heads', and then went around the class asking. He pocked me and gave me something such as '5x36'. I had absolutely no clue. He threw his pen at the board over how dumb I was.

It then sank in over the next 10 minutes that all I needed to do is (36x10) / 2, too late as everyone in the class already thought I was an idiot. Everyone else in the class could already do it, just not me.

It will be met with endless "but where did the 4 come from!!!?!?!"

Any kid that couldn't understand that is also not going to understand making 10s and addend.
 
8 + 2 + 7 is what it is going for, easier for kids to reach a round number like 10 and then add the remainder when first learning basic arithmetic. We do the same in the UK

i do this all the time when doing mental arithmetic and i still hadn't a bloody clue what the question was asking!

i guess it's just the way it's worded, if you'd been taught to understand that's what the wording wants you to do then it's not too big a deal.

for example using tefal's examples my thought process goes:

36+75

30+70=100 6+5=11 100+11=111


87+698

690+80=770 7+8=15 770+15=785

365+12

365+10=375+2=377

ofc the more complex it gets you need to store more numbers in your head which for me at least means i forget (can i buy more ram for my brain?)

so then you start writing things down, or in the modern world just grab a calculator.
 
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