Adding integers with block models
These blocks total +4
Each  blue block
represents +1
These blocks total +5


This expression represents this block model:
    
+2
(+2)+(+3)=+5
+3
These blocks total +5
 
This expression represents this block model:
+4
(+4)+(+1)=+5
+1
1.
Write the addition expression that represents the
block model.
+5
+
 −1
−9
4
+1
+9
2.
Write the addition expression that represents the
block model.
+
+5
 −2
−8
3
+2
+8
These blocks total -4
Each red block
represents -1
(-2)+(-3)=-5
These blocks total -5

This expression respresents the block model:
    
-2
-3
(-4)+(-1)=-5
These blocks total -5
    
This expression represents the block model:
-1
-4
3.
Write the addition expression that represents the
block model.
-
−5
 −1
−9
4
+9
+1
4.
Write the addition expression that represents the
block model.
-
−5
2
−3
−7
+7
+3
5.
Write the addition expression that represents the
block model.
−5
-
−2
−8
3
+2
+8
Write the addition expression that represents the
block model.
6.
−4
-
4
 0
−8
+8
+4
7.
Write the addition expression that represents the
block model.
−4
-
2
−2
−6
+2
+6
This is the expression that represents the block model.
+3
-3
When the amount of blue and red blocks
are equal, the result is ZERO

(+3)+(-3)=0
8.
a
Write the addition expression for the answer
 choice that does not equal zero.
c
All answer choices equal zero except one.
Which choice does NOT equal zero?
d
b
9.
a
c
Write the addition expression for the answer
choice that does not equal zero.
All answer choices equal zero except one.
Which choice does NOT equal zero?
d
b
10.
Write the addition expression for the answer choice
that does not equal zero.
c
a
All answer choices equal zero except one.
Which choice does NOT equal zero?
d
b
These blocks total +1
    
This expression represents the block model:
(+3) + (-2) = +1
If there are more blue (positive) blocks
than red (negative) blocks, the result
is POSITIVE
+3
-2
11.
Write the expression for the answer choice that does
not equal +2.
c
a
All answer choices equal +2 except one.
Which choice does NOT equal +2?
d
b
12.
Write the expression for the answer choice that
 does not equal +3.
c
a
All answer choices equal +3 except one.
Which choice does NOT equal +3?
d
b
Write the expression for the answer choice that does
not equal +1.
13.
a
c
All answer choices equal +1 except one.
Which choice does NOT equal +1?
b
d
Write the expression that represents the block model.
14.
+
−2
 +2
−2
4
+6
-6
15.
Write the expression that represents the block model.
+
−2
 +3
−3
5
-7
+7
16.
Write the expression that represents the block model.
 +8
−3
+
−8
5
+2
-2
These blocks total -2
    
This expression represents the model:
(-5) + (+3) = -2
+3
If there are more red (negative) blocks
than blue (positive) blocks, the result
is NEGATIVE.
-5
17.
Write the expression that represents the answer
choice that does not equal −3.
a
c
All answer choices equal -3 except one.
Which choice does NOT equal -3?
d
b
18.
Write the expression for the answer choice that does
not equal −2.
c
a
All answer choices equal -2 except one.
Which choice does NOT equal -2?
d
b
19.
Write the expression for the answer choice that does
not equal −1.
a
c
All answer choices equal -1 except one.
Which choice does NOT equal -1?
d
b
20.
Write the expression that represents the model.
 −1
−9
+
−5
4
+9
+1
21.
Write the expression that represents the model.
+
−5
 −1
−3
2
+3
-2
22.
Write the expression that represents the model.
 −1
+1
+
−5
1
+4
-4
Write the expression that represents the model.
23.
 −1
−9
+
−5
4
+9
+1
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