Transcript Place Value Place Value is fundamental Place Value Research shows: Students who understand Place Value tend to understand elementary math Students who struggle with Place Value tend to struggle.

Place Value
Place Value
is
fundamental
Place Value
Research shows:
Students who understand
Place Value tend to understand
elementary math
Students who struggle with
Place Value tend to struggle with
elementary math
Place Value
Place Value is demonstrated many ways
in curriculum
From expansion of numbers to
explanation of numbers within their
different place.
Here are some examples of assorted
Place Value exercises on MathLine…
Place Value – Expansion
Simple Expansion of 17?
Place Value – Expansion
Note: Red ring is 10
Place Value – Expansion
How many tens and how many ones in 17?
10
1 2 3 4 5 6 7
Place Value – Expansion
Simple Expansion of 46?
Place Value – Expansion
Note the number of red rings
Place Value – Expansion
How many tens and how many ones in 46?
10
Place Value – Expansion
How many tens and how many ones in 46?
10
10
Place Value – Expansion
RULE – if we begin a group on one bar,
it continues on the next.
10
10
10
Place Value – Expansion
RULE – if we begin a group on one bar,
it continues on the next.
10
10
10
10
Place Value – Expansion
How many ones in 46?
10
10
10
10
1 2 34 5 6
Place Value – Expansion
How many tens in 20 ones?
Place Value – Expansion
Note red rings
Place Value – Expansion
How
Two
many
tenstens
in 20
in ones
20 ones?
10
10
Place Value – Expansion
Students often struggle
with understanding the difference
in value for
similar numbers
like 15 and 51
Show the relationship between 15 and 51
Place Value – Expansion
Show the relationship between 15 and 51
Place Value – Expansion
Student can “see” the difference.
Place Value – Expansion
Groups of ten in 15
1
Place Value – Expansion
Groups of ten in 51
1
3
3
2
4
5
Place Value – Expansion
“Ones” in 15
12345
Place Value – Expansion
Using multiple MathLine’s
show relationship between
236
100
200
36
362
100
200
300
62
Place Value – Expansion
How do the “2’s” relate in both numbers?
236
100
200
362
100
200
300
62
Place Value – Expansion
The “2” in “236” is two groups of 100.
236
100
200
362
100
200
300
62
62
Place Value – Expansion
While the “2” in “362” is two “ones”
236
100
200
362
100
200
300
62
62
Place Value – Expansion
Show
How do
thethe
relationship
“3’s” relate
between
in both236
numbers?
and 362
236
362
Place Value – Expansion
The “3” in “236” is three groups of 10.
236
1
3
2
3
362
Place Value – Expansion
The “3” in “362” is three groups of 100.
236
362
100
200
300
Place Value – Expansion
Show
How do
thethe
relationship
“6’s” relate
between
in both236
numbers?
and 362
236
362
Place Value – Expansion
The “6” in “236” is six “ones”
236
362
Place Value – Expansion
The “6” in “362” is six “tens”
236
362
1
3
2
4
6
3
5