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Singapore Mathematics
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Singapore Mathematics
This program teaches kids to UNDERSTAND mathematical processes through 3 stages:
Concrete Pictorial Abstract
Gemma Meharg PA MAthematics
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Concrete Stage of Singapore Mathematics
Students on place mats with disks.
25 + 17 =
Gemma Meharg PA MAthematics
Tens Ones
1 11 1 1
11 11
1
1
1
10 10
10
This presentationis available on theWindsor web site.
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Singapore Mathematics
Concrete Pictorial Abstract
Gemma Meharg PA MAthematics
![Page 5: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/5.jpg)
Pictorial Stage of Singapore MathematicsThe student begins the transition to “paper and pencil” with a
technique called branching.
1. 34 + 5
Gemma Meharg PA MAthematics
Separate each numberinto 10s and 1s.
Place 10s outside and1s to the inside.
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Branching
1. 34 + 5
4 5
Gemma Meharg PA MAthematics
30 +
“Ring” the 10s.
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Branching
1. 34 + 5
4 5
Gemma Meharg PA MAthematics
30
Add the tens.
30 + 0 = 30
+
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Branching
1. 34 + 5
4 5
Gemma Meharg PA MAthematics
30
Add the ones.
30 + 0 = 305 + 4 = 9
+
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Branching
1. 34 + 5
4 5
Gemma Meharg PA MAthematics
30
Add the sums.
30 + 0 = 305 + 4 = 9
30 + 9 = 39
+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 = Separate the tens and ones.
Branchtens on the outside
and ones on the inside.
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
4 2 3020 +
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 = Ring the tens.
4 2 3020 +
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
4 220 30+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =Now, add the tens.
4 220 30+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
20 + 30 = 50
4 220 30+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
20 + 30 = 50
4 220 30
Add the ones.
+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
20 + 30 = 504 + 2 = 6
4 220 30+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
20 + 30 = 504 + 2 = 6
4 220 30
Next add the sums.
+
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Branching on your own.
Gemma Meharg PA MAthematics
2. 24 + 32 =
20 + 30 = 504 + 2 = 6
50 + 6 = 56
4 220 30+
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Branching on your own.
Gemma Meharg PA MAthematics
3. 73 + 16 =
![Page 21: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/21.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
3. 73 + 16 =
70 + 10 = 803 + 6 = 9
80 + 9 = 89
3 670 10+
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
Branch out the 10s and 1s.Remember 10s are on the outside.
Ring the 10s.
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
8 240 30-
Be sure to place the subtraction sign.
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
8 240 30-
Subtract the 10s.
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
40 - 30 = 10
8 240 30-
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
40 - 30 = 10
8 240 30-
Subtract the 1s.
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
40 - 30 = 108 – 2 = 6
8 240 30-
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
40 - 30 = 108 – 2 = 6
8 240 30-
ADD the differences.
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Branching with subtraction.
Gemma Meharg PA MAthematics
4. 48 - 32 =
40 - 30 = 108 – 2 = 6
10 + 6 = 16
8 240 30-
We add becausewe are putting the
10s and 1s together.
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
Branch the 10s and1s.
10 on the outside.
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
8 070 20-
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
8 070 20-
Ring the 10s.
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
8 070 20-
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
8 070 20-
Subtract the 10s.
![Page 35: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/35.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
70 - 20 = 50
8 070 20-
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
70 - 20 = 50
8 070 20-
Subtract the 1s.
![Page 37: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/37.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
70 - 20 = 508 – 0 = 8
8 070 20-
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
70 - 20 = 508 – 0 = 8
8 070 20-
Add the differences.
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Branching on your own.
Gemma Meharg PA MAthematics
5. 78 - 20 =
70 - 20 = 508 – 0 = 8
50 + 8 = 58
8 070 20-
We add becausewe are putting the
10s and 1s together.
![Page 40: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/40.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
6. 95 - 41 =
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Branching on your own.
Gemma Meharg PA MAthematics
6. 95 - 41 =
90 - 40 = 505 – 1 = 4
50 + 4 = 54
5 190 40-
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
Branching can be used tohelp students learn sums
greater than 10.
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
Think: What could be addedto 7 to make 10?
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
3
7 + 3 = 10Branch 3 from 9.
Ring the 10.
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
3
Branch the other addend from the 2nd addend.
3 + _ = 9
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
3
Now add.
6
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Branching WITH regrouping.
Gemma Meharg PA MAthematics
7. 7 + 9 =
3
10 + 6 = 16
6
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Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
What can I add to 4 to make 10?
![Page 49: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/49.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
Ring the 10.
6
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Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
6
![Page 51: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/51.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
Complete branching of 8.6 + __ = 8
6
![Page 52: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/52.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
26
![Page 53: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/53.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
Now add.
6 2
![Page 54: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/54.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
8. 4 + 8 =
10 + 2 = 12
6 2
![Page 55: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/55.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
9. 3 + 9 =
![Page 56: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/56.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
9. 3 + 9 =
Remember to make 10. Then ring the 10.
![Page 57: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/57.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
9. 3 + 9 =
7
Now add.
2
![Page 58: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/58.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
9. 3 + 9 =
7 2
10 + 2 = 12
![Page 59: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/59.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
Branch 10s to the OUTSIDE.
Branch the addends into 10s and 1s.
![Page 60: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/60.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205 +
![Page 61: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/61.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Ring the 10s.
10 205 +
![Page 62: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/62.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205 +
![Page 63: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/63.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Add the 10s.
10 + 20 = 30
10 205 +
![Page 64: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/64.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Look at the 1s.5 + 8 is more
than 10.
10 205 +
10 + 20 = 30This strategy
is used when the child does not know
sums over 10.
![Page 65: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/65.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
We want to make a sum 10.
10 205 +
5 + _ = 1010 + 20 = 30
![Page 66: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/66.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205
5
+
10 + 20 = 30
![Page 67: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/67.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Branch the 8 into 5 and _?
10 205
5
+
10 + 20 = 30
![Page 68: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/68.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205
5
+
310 + 20 = 30
![Page 69: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/69.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Ring the sum of 10.
10 205
5
+
3 10 + 20 = 30
![Page 70: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/70.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Now add 1s.
10 205
35
+
10 + 20 = 30
![Page 71: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/71.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205
35
+
10 + 20 = 30
10 + 3 = 13
![Page 72: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/72.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
8
Now add the sums.
10 205
35
+
10 + 20 = 3010 + 3 = 13
![Page 73: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/73.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
10. 15 + 28 =
810 205
35
+
10 + 20 = 3010 + 3 = 1330 + 13 = 43
![Page 74: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/74.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
Branch the10s and 1s.
![Page 75: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/75.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
![Page 76: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/76.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
Now ring the10s.
![Page 77: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/77.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
![Page 78: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/78.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
Now add the tens.
![Page 79: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/79.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
40 + 40 = 80
![Page 80: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/80.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
40 + 40 = 80
Now add the ones.
![Page 81: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/81.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
40 + 40 = 809 + 3 = 12
![Page 82: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/82.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
40 + 40 = 809 + 3 = 12
Now add the sums.
![Page 83: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/83.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
11. 49 + 43 =
340 409 +
40 + 40 = 809 + 3 = 12
80 + 12 = 92
![Page 84: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/84.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
12. 96 + 17 =
![Page 85: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/85.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
12. 96 + 17 =
790 106 +
90 + 10 = 1006 + 7 = 13
100 + 13 = 113OR
![Page 86: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/86.jpg)
Branching on your own.
Gemma Meharg PA MAthematics
12. 96 + 17 =
790 106 +
90 + 10 = 10010 + 3 = 13
100 + 13 = 113
4 3
![Page 87: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/87.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
Branch into 10s and 1s. Ring
the 10s.
![Page 88: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/88.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
5 880 20-
Remember the subtraction sign.
![Page 89: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/89.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
5 880 20-
Look at the 1s.We can rename.
![Page 90: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/90.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
5 880 20-
Students can use disks to help with renaming.
![Page 91: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/91.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
85 is renamed as 70 + 15
5 880 20-
70 15
10 110
1010
10
101010
1 11
1
1
1111
11111
![Page 92: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/92.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
5 880 20-
70 15
Subtract the 10s.
70 – 20 = 50
![Page 93: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/93.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
70 – 20 = 5015 – 8 = 7
50 + 7 = 57
5 880 20-
70 15
Subtract the 1s.
![Page 94: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/94.jpg)
Branching WITH regrouping.
Gemma Meharg PA MAthematics
13. 85 - 28 =
70 – 20 = 5015 – 8 = 7
50 + 7 = 57
5 880 20-
70 15
Add the differences.
![Page 95: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/95.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
Branch. Ring the 10s.
![Page 96: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/96.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
0 370 40-
![Page 97: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/97.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
0 370 40-
Check the 1s to see if we need to rename.
![Page 98: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/98.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
0 370 40-
Rename 70 + 0 as 60 + 10.
![Page 99: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/99.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
0 370 40-
60 10
![Page 100: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/100.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
0 370 40-
60 10
Subtract the 10s.
![Page 101: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/101.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
60 – 40 = 20
0 370 40-
60 10
![Page 102: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/102.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
60 – 40 = 20
0 370 40-
60 10
Subtract the 1s.
![Page 103: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/103.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
60 – 40 = 2010 – 3 = 7
20 + 7 = 27
0 370 40-
60 10
![Page 104: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/104.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
60 – 40 = 2010 – 3 = 7
20 + 7 = 27
0 370 40-
60 10
Add the differences.
![Page 105: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/105.jpg)
Branching on your own
Gemma Meharg PA MAthematics
14. 70 - 43 =
60 – 40 = 2010 – 3 = 7
20 + 7 = 27
0 370 40-
60 10
![Page 106: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/106.jpg)
Branching on your own
Gemma Meharg PA MAthematics
15. 96 - 17 =
![Page 107: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/107.jpg)
Branching on your own
Gemma Meharg PA MAthematics
15. 96 - 17 =
80 – 10 = 7016 – 7 = 9
70 + 9 = 79
6 790 10-
80 16
![Page 108: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/108.jpg)
Singapore Mathematics
Concrete Pictorial Abstract
Gemma Meharg PA MAthematics
![Page 109: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/109.jpg)
Left to Right AdditionBegins: Working from left to right, just like we read from left to right.
16. 35
+ 22
50
Gemma Meharg PA MAthematics
First, add the 10s: 30 + 20 = 50
![Page 110: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/110.jpg)
Left to Right Addition
35
+ 22
50
+ 7
Gemma Meharg PA MAthematics
Next, add the 1s: 5 + 2 = 7
16.
![Page 111: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/111.jpg)
Left to Right Addition
35
+ 22
50
+ 7 57
Gemma Meharg PA MAthematics
Last, add the sums: 50 + 7 = 57
16.
![Page 112: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/112.jpg)
Left to Right on your own.
221
+ 345
Gemma Meharg PA MAthematics
Add the 100s
17.
![Page 113: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/113.jpg)
Left to Right on your own.
221
+ 345
500
Gemma Meharg PA MAthematics
17.
200 + 300 = 500
![Page 114: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/114.jpg)
Left to Right on your own.
221
+ 345
500
Gemma Meharg PA MAthematics
Add the 10s.
17.
![Page 115: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/115.jpg)
Left to Right on your own.
221
+ 345
500
60
Gemma Meharg PA MAthematics
20 + 40 = 60
17.
![Page 116: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/116.jpg)
Left to Right on your own.
221
+ 345
500
60
Gemma Meharg PA MAthematics
Add the 1s.
17.
![Page 117: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/117.jpg)
Left to Right on your own.
221
+ 345
500
60
6
Gemma Meharg PA MAthematics
1 + 5 = 6
17.
![Page 118: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/118.jpg)
Left to Right on your own.
221
+ 345
500
60
6
Gemma Meharg PA MAthematics
Last, add the sums.
17.
+
![Page 119: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/119.jpg)
Left to Right on your own.
221
+ 345
500
60
6
566
Gemma Meharg PA MAthematics
500 + 60 + 6 = 566
17.
+
![Page 120: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/120.jpg)
Left to Right on your own.
430
+ 559
Gemma Meharg PA MAthematics
18.
![Page 121: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/121.jpg)
Left to Right on your own.
430
+ 559
900
80
9
989
Gemma Meharg PA MAthematics
18.
+
![Page 122: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/122.jpg)
Left to Right Subtraction
48
– 21
Gemma Meharg PA MAthematics
Subtract the 10s.
19.
![Page 123: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/123.jpg)
Left to Right Subtraction
48
– 21
20
Gemma Meharg PA MAthematics
40 – 20 = 20
19.
![Page 124: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/124.jpg)
Left to Right Subtraction
48
– 21
20
Gemma Meharg PA MAthematics
Subtract the 1s.
19.
![Page 125: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/125.jpg)
Left to Right Subtraction
48
– 21
20
7
Gemma Meharg PA MAthematics
8 – 1 = 7
19.
![Page 126: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/126.jpg)
Left to Right Subtraction
48
– 21
20
7
Gemma Meharg PA MAthematics
Add the differences.
19.
+
![Page 127: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/127.jpg)
Left to Right Subtraction
48
– 21
20
7
27
Gemma Meharg PA MAthematics
20 + 7 = 27
19.
+
![Page 128: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/128.jpg)
Left to Right on your own.
878
– 213
Gemma Meharg PA MAthematics
Subtract the 100s.
20.
![Page 129: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/129.jpg)
Left to Right on your own.
878
– 213
600
Gemma Meharg PA MAthematics
800 – 200 = 600
20.
![Page 130: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/130.jpg)
Left to Right on your own.
878
– 213
600
Gemma Meharg PA MAthematics
Subtract the 10s.
20.
![Page 131: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/131.jpg)
Left to Right on your own.
878
– 213
600
60
Gemma Meharg PA MAthematics
70 – 10 = 60
20.
![Page 132: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/132.jpg)
Left to Right on your own.
878
– 213
600
60
Gemma Meharg PA MAthematics
Subtract the 1s.
20.
![Page 133: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/133.jpg)
Left to Right on your own.
878
– 213
600
60
5
Gemma Meharg PA MAthematics
8 – 3 = 5
20.
![Page 134: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/134.jpg)
Left to Right on your own.
878
– 213
600
60
5
Gemma Meharg PA MAthematics
Add the differences.
20.
+
![Page 135: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/135.jpg)
Left to Right on your own.
878
– 213
600
60
5
665
Gemma Meharg PA MAthematics
600 + 60 + 5 = 665
20.
+
![Page 136: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/136.jpg)
Left to Right on your own.
978
– 256
Gemma Meharg PA MAthematics
21.
![Page 137: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/137.jpg)
Left to Right on your own.
978
– 256
700
20
2
722
Gemma Meharg PA MAthematics
21.
+
![Page 138: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/138.jpg)
Left to Right WITH Regrouping
35
+ 25
Gemma Meharg PA MAthematics
Add the tens.
22.
![Page 139: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/139.jpg)
Left to Right WITH Regrouping
35
+ 25
50
Gemma Meharg PA MAthematics
20 + 30 = 50
22.
![Page 140: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/140.jpg)
Left to Right WITH Regrouping
35
+ 25
50
Gemma Meharg PA MAthematics
Add the 1s.
22.
![Page 141: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/141.jpg)
Left to Right WITH Regrouping
35
+ 25
50
10
Gemma Meharg PA MAthematics
5 + 5 = 10
22.
![Page 142: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/142.jpg)
Left to Right WITH Regrouping
35
+ 25
50
10
60
Gemma Meharg PA MAthematics
Add the sums.
22.
+
![Page 143: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/143.jpg)
Left to Right on your own.
149
+ 522
Gemma Meharg PA MAthematics
Add the hundreds.
23.
![Page 144: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/144.jpg)
Left to Right on your own.
149
+ 522
600
Gemma Meharg PA MAthematics
100 + 500 = 600
23.
![Page 145: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/145.jpg)
Left to Right on your own.
149
+ 522
600
Gemma Meharg PA MAthematics
Add the 10s.
23.
![Page 146: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/146.jpg)
Left to Right on your own.
149
+ 522
600
60
Gemma Meharg PA MAthematics
40 + 20 = 60
23.
![Page 147: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/147.jpg)
Left to Right on your own.
149
+ 522
600
60
Gemma Meharg PA MAthematics
Add the 1s.
23.
![Page 148: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/148.jpg)
Left to Right on your own.
149
+ 522
600
60
11
Gemma Meharg PA MAthematics
9 + 2 = 11
23.
+
![Page 149: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/149.jpg)
Left to Right on your own.
149
+ 522
600
60
11
Gemma Meharg PA MAthematics
Add the sums.
23.
+
![Page 150: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/150.jpg)
Left to Right on your own.
149
+ 522
600
60
11
671
Gemma Meharg PA MAthematics
600 + 60 + 11 = 671
23.
+
![Page 151: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/151.jpg)
Left to Right on your own.
645
+ 397
Gemma Meharg PA MAthematics
24.
![Page 152: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/152.jpg)
Left to Right on your own.
645
+ 397
900
130
12
1,042
Gemma Meharg PA MAthematics
24.
+
![Page 153: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/153.jpg)
Left to Right Subtraction with Renaming/Regrouping
The following three problems are demonstrated using 2 different methods of renaming or regrouping for subtraction.
Method 1 is the official Singapore math method of renaming/regrouping in left-to-right subtraction.
Method 2 originated with Stefanie Limpert, a 2nd grade teacher in the Windsor District.
Gemma Meharg PA MAthematics
![Page 154: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/154.jpg)
Left to Right WITH Regrouping
145
- 117
Gemma Meharg PA MAthematics
Subtract the 100s.
25.
Method 1
![Page 155: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/155.jpg)
Left to Right WITH Regrouping
145
- 117
000
Gemma Meharg PA MAthematics
100 – 100 = 0
25.
Method 1
![Page 156: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/156.jpg)
Left to Right WITH Regrouping
145
- 117
000
Gemma Meharg PA MAthematics
Subtract the 10s.
25.
Method 1
![Page 157: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/157.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
Gemma Meharg PA MAthematics
40 – 10 = 30
25.
Method 1
![Page 158: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/158.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
Gemma Meharg PA MAthematics
Subtract the 1s.
25.
Method 1
![Page 159: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/159.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
2
Gemma Meharg PA MAthematics
5 – 7 =I.O.U. 2 or -2
25.
-
Method 1
![Page 160: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/160.jpg)
Use the number line to count 7 back from 5 to –2.
Gemma Meharg PA MAthematics
![Page 161: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/161.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
2
Gemma Meharg PA MAthematics
Count back 2 from 30.
25.
-
Method 1
![Page 162: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/162.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
2
Gemma Meharg PA MAthematics
Count back because of the subtraction sign or -2.
25.
-
Method 1
![Page 163: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/163.jpg)
Left to Right WITH Regrouping
145
- 117
000
30
2
28
Gemma Meharg PA MAthematics
Count back 2 from 30 = 29, 28
25.
-
Method 1
![Page 164: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/164.jpg)
Left to Right WITH Regrouping
275 - 194
Gemma Meharg PA MAthematics
Subtract the 100s.
26.
Method 1
![Page 165: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/165.jpg)
Left to Right WITH Regrouping
275 - 194 100
Gemma Meharg PA MAthematics
200 – 100 = 100
26.
Method 1
![Page 166: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/166.jpg)
Left to Right WITH Regrouping
275 - 194 100
Gemma Meharg PA MAthematics
Subtract the 10s.
26.
Method 1
![Page 167: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/167.jpg)
Left to Right WITH Regrouping
275 - 194 100
Gemma Meharg PA MAthematics
70 – 90 = ?Use the number line.
26.
Method 1
![Page 168: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/168.jpg)
Use number line to count backwards. Start at 7 tens, count back 9 tens to –2 tens. -2 tens = I.O.U 20 or –20.
Gemma Meharg PA MAthematics
![Page 169: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/169.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20
Gemma Meharg PA MAthematics
70 – 90 = I.O.U. 20or –20.
26.
Method 1
![Page 170: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/170.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20
Gemma Meharg PA MAthematics
Subtract before moving to 1s.
26.
Method 1
![Page 171: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/171.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20 80
Gemma Meharg PA MAthematics
Count backward 2-tens from 100:90, 80.
26.
Method 1
![Page 172: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/172.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20 80
Gemma Meharg PA MAthematics
Subtract the 1s.
26.
Method 1
![Page 173: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/173.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20 80 1
Gemma Meharg PA MAthematics
5 – 4 = 1
26.
Method 1
![Page 174: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/174.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20 80 1
Gemma Meharg PA MAthematics
Put the 10s and 1s together.
26.
+
Method 1
![Page 175: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/175.jpg)
Left to Right WITH Regrouping
275 - 194 100
- 20 80 1 81
Gemma Meharg PA MAthematics
80 +1 = 81
26.
+
Method 1
![Page 176: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/176.jpg)
Left to Right WITH Regrouping
523
- 278
Gemma Meharg PA MAthematics
Subtract the 100s.
27.
Method 1
![Page 177: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/177.jpg)
Left to Right WITH Regrouping
523
- 278
300
Gemma Meharg PA MAthematics
500 – 200 = 300
27.
Method 1
![Page 178: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/178.jpg)
Left to Right WITH Regrouping
523
- 278
300
Gemma Meharg PA MAthematics
Subtract the 10s.
27.
Method 1
![Page 179: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/179.jpg)
Left to Right WITH Regrouping
523
- 278
300
Gemma Meharg PA MAthematics
Count backwards on the number line.
27.
Method 1
![Page 180: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/180.jpg)
Use number line to count backwards. Start at 2 tens, count back 7 tens to –5 tens. -5 tens = I.O.U 50 or –50.
Gemma Meharg PA MAthematics
![Page 181: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/181.jpg)
Left to Right WITH Regrouping
523
- 278
300
- 50
Gemma Meharg PA MAthematics
20 – 70 =I.O.U. 50 or –50.
27.
Method 1
![Page 182: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/182.jpg)
Left to Right WITH Regrouping
523
- 278
300
- 50
Gemma Meharg PA MAthematics
Count back 5 tens from 300.
27.
Method 1
![Page 183: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/183.jpg)
Left to Right WITH Regrouping
523
- 278
300
- 50
250
Gemma Meharg PA MAthematics
290, 280, 270, 260, 250
27.
Method 1
![Page 184: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/184.jpg)
Left to Right WITH Regrouping
523
- 278
300
- 50
250
Gemma Meharg PA MAthematics
Subtract the 1s.
27.
Method 1
![Page 185: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/185.jpg)
Left to Right WITH Regrouping
523
- 278
300
- 50
250
- 5
Gemma Meharg PA MAthematics
3 – 8 = I.O.U. 5 or -5.
27.
Method 1
![Page 186: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/186.jpg)
Left to Right WITH Regrouping
523
- 278
300
50
250
5
Gemma Meharg PA MAthematics
Count 5 backwardfrom 250.
27.
-
-
Method 1
![Page 187: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/187.jpg)
Left to Right WITH Regrouping
523
- 278
300
50
250
5
245
Gemma Meharg PA MAthematics
249, 248, 247, 246, 245
27.
-
-
Method 1
![Page 188: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/188.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Look for I.O.U.s.
25.
An I.O.U. means you cannot do the subtraction
in the place value.
Method 2
![Page 189: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/189.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
1s column: 5 - 7
25.
Method 2
![Page 190: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/190.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Draw a circle abovethe column to showthe I.O.U.
25.
Method 2
![Page 191: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/191.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Now we renameor regroup.
25.
Method 2
![Page 192: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/192.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Take 1-ten from the 4-tens= 3-tens.
25.3
Method 2
![Page 193: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/193.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
1-ten = 10-ones.Add the 10-onesto the 5 in the 1scolumn:10 + 5 = 15
25.153
Method 2
![Page 194: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/194.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Once the I.O.U.sare completed. Subtract fromleft to right.
25.153
Method 2
![Page 195: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/195.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
Gemma Meharg PA MAthematics
Subtract the 100s.
25.153
Method 2
![Page 196: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/196.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
Gemma Meharg PA MAthematics
100 – 100 = 0
25.153
Method 2
![Page 197: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/197.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
Gemma Meharg PA MAthematics
Subtract the 10s.
25.
153
Method 2
![Page 198: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/198.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
2 0
Gemma Meharg PA MAthematics
30 – 10 = 20
25.
153
Method 2
![Page 199: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/199.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
2 0
8
Gemma Meharg PA MAthematics
Subtract the 1s.
25.
153
Method 2
![Page 200: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/200.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
2 0
8
Gemma Meharg PA MAthematics
15 – 7 = 8
25.
153
Method 2
![Page 201: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/201.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
2 0
8
Gemma Meharg PA MAthematics
Add thedifferences.
25.
153
+
Method 2
![Page 202: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/202.jpg)
Left to Right WITH Regrouping
1 4 5
- 1 1 7
0 0 0
2 0
8
2 8
Gemma Meharg PA MAthematics
0 + 20 + 8 = 28
25.
153
+
Method 2
![Page 203: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/203.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26.Look for I.O.U.s.
Method 2
![Page 204: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/204.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26. 10 column:7-tens – 9-tens
Method 2
![Page 205: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/205.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26. Draw a circleabove the columnto show the I.O.U.
Method 2
![Page 206: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/206.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26. Now we renameor regroup.
Method 2
![Page 207: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/207.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26. Take 1-hundredfrom 2-hundreds= 1-hundreds.
1
Method 2
![Page 208: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/208.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26. 1-hundred = 10-tens Add 10-tens to the 7in the 10s column:7-tens + 10-tens =17-tens
171
Method 2
![Page 209: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/209.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26.
171
Once the I.O.U.sare completed. Subtract fromleft to right.
Method 2
![Page 210: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/210.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
Gemma Meharg PA MAthematics
26.
171
Subtract the 100s.
Method 2
![Page 211: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/211.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
Gemma Meharg PA MAthematics
26.
171
100 – 100 = 0
Method 2
![Page 212: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/212.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
Gemma Meharg PA MAthematics
26.
171
Subtract thetens.
Method 2
![Page 213: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/213.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
8 0
Gemma Meharg PA MAthematics
26.
171
17-tens – 9 tens= 8-tens
Method 2
![Page 214: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/214.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
8 0
Gemma Meharg PA MAthematics
26.
171
Subtract the ones.
Method 2
![Page 215: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/215.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
8 0
1
Gemma Meharg PA MAthematics
26.
171
5 – 4 = 1
Method 2
![Page 216: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/216.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
8 0
1
Gemma Meharg PA MAthematics
26.
171
Add the differences.
+
Method 2
![Page 217: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/217.jpg)
Left to Right WITH Regrouping
2 7 5
- 1 9 4
0 0 0
8 0
1
8 1
Gemma Meharg PA MAthematics
26.
171
0 + 80 + 1 = 81
+
Method 2
![Page 218: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/218.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Look for I.O.U.s.
27.
An I.O.U. means you cannot do the subtraction
in the place value.
Method 2
![Page 219: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/219.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Place a circle abovethe column(s) thatrequires an I.O.U.
27.
Method 2
![Page 220: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/220.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Both the 10s and 1srequire an I.O.U.
27.
Method 2
![Page 221: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/221.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Rename the columns.27.
Method 2
![Page 222: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/222.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Rename the columns27.
1 13
Method 2
![Page 223: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/223.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Rename the columns27.
1 13
11
4Method 2
![Page 224: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/224.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
Gemma Meharg PA MAthematics
Subtract the 100s.
27.
1 13
11
4Method 2
![Page 225: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/225.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
Gemma Meharg PA MAthematics
400 – 200 = 200
27.
1 13
11
4Method 2
![Page 226: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/226.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
Gemma Meharg PA MAthematics
Subtract the 10s.
27.
1 13
11
4Method 2
![Page 227: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/227.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
4 0
Gemma Meharg PA MAthematics
11-tens – 7-tens= 4-tens
27.
1 13
11
4Method 2
![Page 228: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/228.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
4 0
Gemma Meharg PA MAthematics
Subtract the 1s.
27.
1 13
11
4Method 2
![Page 229: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/229.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
4 0
5
Gemma Meharg PA MAthematics
13 – 8 = 5
27.
1 13
11
4Method 2
![Page 230: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/230.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
4 0
5
Gemma Meharg PA MAthematics
Add thedifferences.
27.
1 13
11
4
+
Method 2
![Page 231: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/231.jpg)
Left to Right WITH Regrouping
5 2 3
- 2 7 8
2 0 0
4 0
5
2 4 5
Gemma Meharg PA MAthematics
200 + 40 + 5 =245.
27.
1 13
11
4
+
Method 2
![Page 232: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/232.jpg)
Abstract Stage of Singapore Mathematics
Ends with traditional “short-cut” method:
1
25
+ 17
42
Gemma Meharg PA MAthematics
![Page 233: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/233.jpg)
WHY are we doing all these extra steps in Singapore Math?
Branching and Left-to-Right Methods build understanding as students learn computation.
Gemma Meharg PA MAthematics
![Page 234: Addition and subtraction_strategies_11-1.09.09](https://reader036.vdocuments.mx/reader036/viewer/2022062513/55617d84d8b42a98268b5133/html5/thumbnails/234.jpg)
Linda King
Singapore Math Coach
(636) 464 – 4400, extension 4399
Gemma Meharg PA MAthematics