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Number Sense
(Grades 1-4)
Nancy Crouch
[email protected]
http://lead4ward.com/number-sense
password- mathrocks2016
Copyright © 2013 lead4ward
Time to Play
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2D vs. 3D
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Draw a Picture
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Multiple Representations
2
3
5
100 + 100 = 200
10 + 10 + 10 = 30
1 + 1 + 1+ 1 + 1 = 5
200 + 30 + 5
235
two hundred thirty-five
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725
Extended Version
4 hundreds, 3 tens, 6 ones
3 hundreds, 13 tens, 6 ones
2 hundreds, 23 tens, 6 ones
1 hundred, 33 tens, 6 ones
4 hundreds, 2 tens, 16 ones
3 hundreds, 12 tens, 16 ones
4 hundreds
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3 tens
6 ones
Multiple Representations
2
3
5
100 + 100 = 200
10 + 10 + 10 = 30
1 + 1 + 1+ 1 + 1 = 5
200 + 30 + 5
235
two hundred thirty-five
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Multiple Representations
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Compare & Verbalize
2002+hundreds
30 + 5 is + 3 tens + 5 ones
less is
than
less274
than three hundred
because…
forty-one because…
274 is greater
than 200 + 30 + 5
Three hundred
forty-one is
because…
greater than
2 hundreds + 3 tens +
5 ones because…
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Compare & Verbalize
200 + 30 + 5 is
less than 274
because…
200 + 30 + 5 < 274
because…
274 is greater
than 200 + 30 + 5
One hundred twenty > 102
because…
because…
4 hundreds + 2 tens <
six hundred four
because…
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Order & Justify
337
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Order & Justify
337
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Evaluate
7
100 + 100 = 200
1+1+1=3
seven hundred eighty-three
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Evaluate
973 _____ 943
400 + 30 + 2 _____ 471
six hundred two _____ 6 hundreds + 2 tens + 0 ones
400 + 2 + 30 _____ 431
248 > 2 ___ 3
8 hundreds + 2 ones < ___ + 10 + 1
___42 > three hundred forty-six
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pg. 5
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pg. 7
x10
x10
x10
3.2(B) describe the mathematical relationships found in the base-10 place value system
through the hundred thousands place
1,000
100
÷10
100
÷10
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÷10
10
10
10,000
10
0.1
0.1
0.01
0.1
0.01
0.001
1,000
100
4.2(A) interpret the value of each place value position to the right as one-tenths of the value of the place to its left
Grade 2
2
3
5
100 + 100 = 200
10 + 10 + 10 = 30
1 + 1 + 1+ 1 + 1 = 5
200 + 30 + 5
235
two hundred thirty-five
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Grade 1
1
1
5
100
10
1 + 1 + 1+ 1 + 1 = 5
100 + 10 + 5
115
one hundred fifteen
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Grade 3
=1,000
7
7 x 1,000
notation
= 100
8
8 x 100
= 10
4
4 x 10
(7 x 1,000) + (8 x 100) + (4 x 10)
7,840
seven thousand, eight hundred forty
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Order & Justify
337
337
200
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300
400
Grade 4
=1
7
7x1
notation
= 0.10
= 0.01
8
4
8 x 0.10
8 x 1/10
4 x 0.01
4 x 1/100
(7 x 1) + (8 x 0.10) + ( 4 x 0.01)
(7 x 1) + (8 x 1/10) + ( 4 x 1/100)
7.84
seven and eighty-four hundredths
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Order & Justify
337
3.37
2
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3
4
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8
Nancy
Crouch
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Job
The blonde chick
that does math
for lead4ward
Fast Food
Cashier
Real Estate
Property
Manager
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# of
year
s
3 years in Wurzburg, Germany
4 years in Fort Hood, Texas
2 years in Bindlach, Germany
0.25 +37 years in El Paso, Texas
46 years of living
(DAMN SHE’S OLD!)
2
Clerk/Secretary
3
Teacher
7
Instructional
Coach
3
Curriculum
Writer
3
Curriculum
Director
2
Consultant
6
Sister Employee
of
Wife
Daughter
Lead4ward
Mother
8
Nancy
Crouch
Copyright © 2013 lead4ward
Job
The blonde chick
that does math
for lead4ward
Fast Food
Cashier
Real Estate
Property
Manager
Copyright © 2013 lead4ward
# of
year
s
3 years in Wurzburg, Germany
4 years in Fort Hood, Texas
2 years in Bindlach, Germany
0.25 +37 years in El Paso, Texas
46 years of living
(DAMN SHE’S OLD!)
2
Clerk/Secretary
3
Teacher
7
Instructional
Coach
3
Curriculum
Writer
3
Curriculum
Director
2
Consultant
6
Sister Employee
of
Wife
Daughter
Lead4ward
Mother
8
Nancy
Crouch
workaholic
organized
transparent
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sarcastic
dedicated
strict
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8
Nancy’s
Softball
Team
Nancy
Crouch
workaholic
organized
transparent
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sarcastic
dedicated
strict
Evidence of Learning
Summarize
How would you introduce
Nancy to your faculty and staff?
Compare/
Contrast
How is Nancy similar/different from
Judge Judy?
Create/
Develop
Create an imaginary character that
would be the opposite of Nancy.
Make
Connections
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Who does Nancy most remind you of?
Explain your reasoning.
8
Nancy’s
Softball
Team
Nancy
Crouch
workaholic
organized
transparent
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sarcastic
dedicated
strict
Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
pg. 9
pg. 10
pg. 11
pg. 12
pg. 13
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Copyright © 2013 lead4ward
S
2
2
1
2
2
2
2
1
1
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1/3
1
1
3
3
3
3/4
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pg. 15-16
pg. 17-18
pg. 19-20
pg. 21-22
pg. 23-24
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pg. 25
pg. 26
pg. 27
pg. 28
pg. 29
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Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
Textbook
Page 32 #39-42
Hundreds Chart
Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
pg. 31
0
10
20
30
40
10+10+10+10+1+1+1=53
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50
51
52
53
Textbook
Page 32 #39-42
Hundreds Chart
Place Value Chart
Straws Tiles
Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
1,000
1,000
100
10
1
1
1,000
100
100
10
1
1
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3 x 1,000 + 3 x100 + 2 x 10 + 4 x 1
3,000 + 300 + 20 + 4
3,324
Textbook
Page 32 #39-42
Hundreds Chart
Place Value Chart
Straws Tiles
Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
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Textbook
Page 32 #39-42
Hundreds Chart
Place Value Chart
Straws Tiles
Drawings of Base Ten Blocks
Representing &
Comparing
Whole Numbers
standard form
expanded form
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value
word form
pg. 33
+ 10
+ 10
+ 10
+ 10
+ 10
+1
+1
0
10
20
30
40
50
+1
51 52
53
10 + 10 + 10 + 10 + 10 + 1 + 1 + 1 = 53
+50
+1
0
50 + 1 + 1 + 1 = 53
50
+1
51 52
+1
53
+50
+3
0
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50
50 + 3 = 53
53
+ 10
+ 10
+1
1
0
2
3
23
13
+ 10
+ 10
+ 10
+1
+1
pg. 34
53
43
33
1 + 1 + 1 +10 + 10 + 10 + 10 + 10 = 53
+1
0
+1
1
+ 10
+ 10
+ 10
+ 10
+1
2
12
22
42
32
+ 10
53
52
1 + 1 + 10 + 10 + 10 + 10 + 10 + 1 = 53
+ 20
+ 20
+ 10
+2
0
20
40
20 + 20 + 10 + 2 + 1 = 53
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50
+1
52
53
pg. 35-45
*
*
*
*
*
Textbook
Page 32 #39-42
Hundreds Chart
Place Value Chart
Straws Tiles
Drawings of Base Ten Blocks
pg. 35
Representing &
Comparing
Whole Numbers
Money & Shaded Area Model
standard form
expanded form
Copyright © 2013 lead4ward
value
word form
*
*
*
*
*
Textbook
Page 32 #39-42
Make sure to include
examples with zero as a
place holder
pg. 38
Hundreds Chart
Place Value Chart
Straws Chips
Drawings of Base Ten Blocks
Representing &
Comparing
Whole Numbers
Provide examples with the
comparison of three numbers
using inequalities
Money & Shaded Area Model
standard form
expanded form
Copyright © 2013 lead4ward
value
word form
**
*
*
*
*
*
*
*
*
Textbook
Page 32 #39-42
Hundreds Chart
Place Value Chart
Straws Tiles
Drawings of Base Ten Blocks
Make sure to include
examples with zero as a
place holder
Representing &
Comparing
Whole Numbers
Provide examples with the
comparison of three numbers
using inequalities
Money & Shaded Area Model
standard form
expanded form
Copyright © 2013 lead4ward
value
word form
**
*
*
*
pg. 9
pg. 10
pg. 11
pg. 12
pg. 13
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Students move
their finger along
the 100s chart
Students record
their actions with
arrows
47
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Students relate
arrows to a number
sentence
48
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Can you
think of
another way?
Use of
Mental Math
Coordinate
manipulation of
base ten blocks
with place value
chart recordings
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49
50
Composing/
Decomposing
Numbers
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Working Vertically and
Horizontally
Properties
of
Operations
Subtraction as a
distance problem
instead of take away
The distance
between 24
and 63 is 39.
51-52
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63-24
as a takeaway
problem
63-24
as a comparison
problem
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53
Coordinate
manipulation of base
ten blocks with place
value chart
recordings
54
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Teacher…can I put a 1 here because I am
short one to be able to
subtract 4 from 3?
Composing/
Decomposing
Numbers
55
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Working Vertically and
Horizontally
Properties of
Operations
2(x+4) + 3(x+2)
2(x+4) + 3(x+2)
2x + 8 + 3x + 2
2x + 3x + 8 + 2
5x + 10
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67 + 24
60 + 7 + 20 + 4
60 + 20 + 7 + 4
80 + 11
80 + 10 + 1
90 + 1
91
67
+24
80
+11
91
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2,438
+3,742
5,000
1,100
70
+ 10
6,180
63
-21
?
62
-20
?
61
-19
?
60
-18
?
63
-21
42
62
-20
42
61
-19
42
60
-18
42
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600
- 18
?
599
- 17
?
599
- 17
582
Add/
Subtract
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Evidence of Learning
Summarize
Explain how expanded form was used to
solve this addition problem.
Compare/
Contrast
Referencing the hundreds chart, explain how
using takeaway is similar/different from finding
the distance between two numbers?
Create/
Develop
Referencing the number line, create another
way to determine the sum of 67 + 24.
Make
Connections
How is the use of base ten blocks related to
the expanded form of solving the addition
problem?
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Add/
Subtract
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Number Sense
(Grades 1-4)
Nancy Crouch
[email protected]
http://lead4ward.com/number-sense
password- mathrocks2016
Copyright © 2013 lead4ward