This is one hundred squares and I know because we built it together.....
The grid is one hundred because one ten fits...
The grid is one hundred because 2 tens fit... 20
The grid is one hundred because 3 tens fit... 30
The grid is one hundred because 4 tens fit... 40
The grid is one hundred because 5 tens fit... 50
The grid is one hundred because 6 tens fit... 60
The grid is one hundred because 7 tens fit... 70
The grid is one hundred because 8 tens fit... 80
The grid is one hundred because 9 tens fit... 90
The grid is one hundred because 10 tens fit... 100
What number have I built?. Be sure the students are seeing the link between the place value cards and the hundred grids.
I see 5 tens and 4 ones... That is 54 or fifty-four. standard notation or form 50 + 4 expanded notation or form 4 5 4 50
I can also explain it as 4 tens and 14 ones Which I write as 40 + 14 .
Or 3 tens and 24 ones Which I write as 30 + 24 .
Or 2 tens and 34 ones Which I write as 20 + 34 .
Or 1 ten and 44 ones Which I write as 10 + 44 .
I am still using place value: 50 + 4 5 tens, four ones 5 tens, 4 ones 40 + 14 4 tens, fourteen ones 4 tens, 14 ones 30 + 24 3 tens, twenty-four ones 3 tens, 24 ones 20 + 34 2 tens, thirty-four ones 2 tens, 34 ones 10 + 44 1 ten, fifty-four ones 1 ten, 44 ones Be sure students understand that you could groups the tens different ways but still be using or maintaining place value understandings...
If I put them in the hundred grid they look like this.
or I could just colour the grid to match my number Some students really benefit from seeing that the blocks in tens can match the hundred grid. The physical link is important for them to make or be reminded of.
Can you still see these expressions 40 + 14 30 + 24 20 + 34 10 + 44 40 + 14 30 + 24 20 + 34 10 + 44 Be sure students understand that you could groups the tens different ways but still be using or maintaining place value understandings...
Let’s look at another one....
40 + 8 4 tens, 8 ones 30 + 18 3 tens, 18 ones 20 + 28 2 tens, 28 ones 10 + 38 1 ten, 38 ones 48 ones Can you see my pattern?
Ready? Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?
Ready? Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?
Ready? Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?
Can you see it on a numberline?