Place Value isfundamental. Research shows: Students who understand Place Value tend to understand...
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Place Value Place Value Place Value is is fundamental fundamental
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Transcript of Place Value isfundamental. Research shows: Students who understand Place Value tend to understand...
Place Value
Place Value Place Value is is
fundamentalfundamental
Place Value
Research shows:Research shows:Students who understand Students who understand
Place Value tend to understand Place Value tend to understand elementary mathelementary math
Students who struggle with Students who struggle with Place Value tend to struggle with Place Value tend to struggle with
elementary math elementary math
Place Value is demonstratedPlace Value is demonstrated many ways many ways in curriculumin curriculum
Place Value
From expansion of numbers to From expansion of numbers to explanation of numbers within their explanation of numbers within their
different place.different place.
Here are some examples of assortedHere are some examples of assortedPlace Value exercises on MathLine…Place Value exercises on MathLine…
Simple Expansion of 17?Simple Expansion of 17?
Place Value – Expansion
Note: Red ring is 10Note: Red ring is 10
Place Value – Expansion
Place Value – Expansion
How many tens and how many ones in 17?How many tens and how many ones in 17?
10 1 2 3 4 5 6 7
Simple Expansion of 46?Simple Expansion of 46?
Place Value – Expansion
Note the number of red ringsNote the number of red rings
Place Value – Expansion
Place Value – Expansion
How many tens and how many ones in 46?How many tens and how many ones in 46?
10
Place Value – Expansion
How many tens and how many ones in 46?How many tens and how many ones in 46?
10 10
Place Value – Expansion
10 10
RULE – if we begin a group on one bar, RULE – if we begin a group on one bar, it continues on the next.it continues on the next.
10
Place Value – Expansion
10 10
RULE – if we begin a group on one bar, RULE – if we begin a group on one bar, it continues on the next.it continues on the next.
10 10
Place Value – Expansion
10 10
10 10
How many ones in 46?How many ones in 46?
2 65431
How many tens in 20 ones?How many tens in 20 ones?
Place Value – Expansion
Note red rings Note red rings
Place Value – Expansion
Two tens in 20 onesTwo tens in 20 ones
Place Value – Expansion
10 10
How many tens in 20 ones?How many tens in 20 ones?
Show the relationship between 15 and 51Show the relationship between 15 and 51
Place Value – Expansion
Students often struggle Students often struggle with understanding the difference with understanding the difference
in value for in value for similar numbers similar numbers
like 15 and 51like 15 and 51
Show the relationship between 15 and 51Show the relationship between 15 and 51
Place Value – Expansion
Student can “see” the difference.Student can “see” the difference.
Place Value – Expansion
Place Value – Expansion
11
Groups of ten in 15Groups of ten in 15
Place Value – Expansion
11 22 33
33 44 55
Groups of ten in 51Groups of ten in 51
Place Value – Expansion
11
““Ones” in 15Ones” in 15
22 33 44 55
Place Value – Expansion
236236
100
200
300
100
200
3662
Using multiple MathLine’s Using multiple MathLine’s show relationship betweenshow relationship between
362362
362362
Place Value – Expansion
How do the “How do the “22’s” relate in both numbers?’s” relate in both numbers?
100
223636 363622
100
200
300
62
200
Place Value – Expansion
100
62
223636 363622
100
200
300
62
100
200200
The “The “22” in” in ““2236” is two groups of 100.36” is two groups of 100.
362362
Place Value – Expansion
100
62
236236 363622
100
200
300
62
200
363622
While the “While the “22” in “36” in “3622” is two “ones”” is two “ones”
62
Place Value – Expansion
Show the relationship between 236 and 362Show the relationship between 236 and 362How do the “3’s” relate in both numbers?How do the “3’s” relate in both numbers?
236236 362362223366 336262
Place Value – Expansion
223366 362362362362
The “The “33” in “2” in “2336” is three groups of 10.6” is three groups of 10.
1 2 3
3
Place Value – Expansion
236236 362362336262
The “The “33” in “” in “3362” is three groups of 100.62” is three groups of 100.
100
200
300
Place Value – Expansion
Show the relationship between 236 and 362Show the relationship between 236 and 362
232366 336622
How do theHow do the ““66’s” relate in both numbers?’s” relate in both numbers?
Place Value – Expansion
232366 362362
The “The “66” in “23” in “2366” is six “ones”” is six “ones”
Place Value – Expansion
236236 336622
The “The “66” in “3” in “3662” is six “tens”2” is six “tens”
1 2 33 4 5
6
