lesson 2 pawn = x lesson 3 legal moves pawns lesson 4 legal moves #s lesson 5 set-up subtraction...
TRANSCRIPT
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
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Equal and Balanced
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Equal and Balanced
100 pounds = ? pounds
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Materials for Book 1
• Eight blue pawns
• Two red cubes, numbered 0-5
• Two red cubes, numbered 5-10
• A laminated balance scale
• Put the other items back in the bag.
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5
X = Check:
Lesson 1
What is the value for the blue pawn to balance the scale?
5 5
5 5 5=
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8
X = Check: Lesson 1
Use trial and error to solve.
4 + 48 8
4 8 8=
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8
X =
Check:
Lesson 1
2
Use trial and error method to solve. 1, 2, 3, etc.
6
14 14=
The blue pawn has a special name, “x”.
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10
X = Check: Lesson 1
Please place number cubes facing upward so I can see the numbers when I pass by.
Black triangles are symbols for blue
pawns
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9
X = Check:
Lesson 1
2
9 9=7
7 + 29 9
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7
X = Check:
Lesson 1
3
7 7=2
2+2 + 37 7
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X = Check:
Lesson 1
8
12 12=4
4 + 812 12
4+4+4
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X = Check:
Lesson 1
2 4
4 4=1
1 + 1 + 24 4
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X = Check:
Lesson 1
8 410
14 14=6
6 + 814 14
10 +4
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X = Check:
Lesson 1
4
8 8=4
4 + 48 8
4 + 4
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X = Check:
Lesson 1
72 7
14 14=4
4+4+4 + 214 14
7 + 7
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X = Check:
Lesson 1
4 10
16 16=6
6+6 + 416 16
6 + 10
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X = Check:
Lesson 1
210
18 18=6
6+6 +618 18
6+10+ 2
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
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X =
Check:
Lesson 2
The pawn has a special name, “x.” Therefore, the problem
4
12 12=
2x + x = x + 8
8
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X =
Check:
Lesson 2
3
10 10=
3x + 1 = x + 7
1 7
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X =
Check:
Lesson 2
=
1. 2x = x + 3
3
3
6 6
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X =
Check:
Lesson 2
=
2. 3x = x + 4
4
2
6 6
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X =
Check:
Lesson 2
=
3. x + 4 = 2x + 3
34
1
5 5
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X =
Check:
Lesson 2
=
4. 4x = 2x + 6
6
3
12 12
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
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Lesson 3
• Try this one.
• 4x + 2 = 3x + 9
• “Would you like to learn an easier way of getting the answer than by using trial and error?”
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Lesson 3
4x + 2 = 3x + 9
2 9
Legal Moves
X = 7
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X =
Check:
Lesson 3
7
30 30=
4x + 2 = 3x + 9
2 9
Reset the original equation to check.
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Lesson 3
1. 3x + 7 = 4x
Set up
X =
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Lesson 3
1. 3x + 7 = 4x
7
Legal Moves
X = 7
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Lesson 3
1. 3x + 7 = 4x
7
X = 7
Check: 28 28=
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Lesson 3
2. x + 2 +2x = x + 10
Set up
X =
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Lesson 3
2. x + 2 +2x = x + 10
2 10
Legal Moves
X = 4
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Lesson 3
2. x + 2 +2x = x + 10
2 10
X = 4
Check: 14 14=
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Lesson 3
3. x + 3x = x + x + 10
Set up
X =
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Lesson 3
3. x + 3x = x + x + 10
10
Legal Moves
X = 5
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Lesson 3
3. x + 3x = x + x + 10
10
X = 5
Check: 20 20=
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Lesson 3
4. 2x + 3 + 3x = x + 11
Set up
X =
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Lesson 3
4. 2x + 3 + 3x = x + 11
10
Legal Moves
X = 2
13
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Lesson 3
4. 2x + 3 + 3x = x + 11
10
X = 2
13
Check: 13 13=
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
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Lesson 4
1. x + 2x +5 = x + 19
Set up
X =
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Lesson 4
1. x + 2x +5 = x + 19
Legal Moves
X = 7
5 10 459
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Lesson 4
1. x + 2x +5 = x + 19
X = 7
5 10 459
Check: 26 26=
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Lesson 4
2. x + 2x + 14 = 5x + 2
Set up
X =
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Lesson 4
2. x + 2x + 14 = 5x + 2
Legal Moves
X = 6
10 2224
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Lesson 4
2. x + 2x + 14 = 5x + 2
X = 6
10 2224
Check: 32 32=
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Lesson 4
3. x + 4 + 2x = x + 20
Set up
X =
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Lesson 4
3. x + 4 + 2x = x + 20
Legal Moves
X = 8
4 641010
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Lesson 4
3. x + 4 + 2x = x + 20
X = 8
4 641010Check: 28 28=
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Lesson 4
4. x + 2 + 2x = x + 12
Set up
X = 5
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Lesson 4
4. x + 2 + 2x = x + 12
Legal Moves
X = 5
2 210
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Lesson 4
4. x + 2 + 2x = x + 12
X = 5
2 210Check: 17 17=
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
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Lesson 5
1. 4x – 2x + 4 = x + 10
Set up
X =
104
![Page 66: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/66.jpg)
Lesson 5
1. 4x – 2x + 4 = x + 10
Legal Moves
X = 6
64 410
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Lesson 5
1. 4x – 2x + 4 = x + 10
X = 6
64 410Check: 16 16=
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Lesson 5
2. x + 3x - x = 30
10 10 5 5
X = 10
Check: 30 30=
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Lesson 5
3. 8 + 2x + 3 - x = 2x + 1
Set up
X =
18 3
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Lesson 5
3. 8 + 2x + 3 - x = 2x + 1
Legal Moves
X =
18 213
10
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Lesson 5
3. 8 + 2x + 3 - x = 2x + 1
X =
18 213
10
Check: 21 21=
![Page 72: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/72.jpg)
Lesson 5
4. x + 2x - x + 7 = 4x – x + 2
Set up
X =
27
![Page 73: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/73.jpg)
Lesson 5
4. x + 2x - x + 7 = 4x – x + 2
Legal Moves
X =
2527
5
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Lesson 5
4. x + 2x - x + 7 = 4x – x + 2
2527
X = 5
Check: 17 15=
![Page 75: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/75.jpg)
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Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
![Page 77: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/77.jpg)
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Lesson 6
1. 2(x +3) = 10
Set up
X =
1033
![Page 79: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/79.jpg)
Lesson 6
1. 2(x +3) = 10
Legal Moves
X =
433
610
2
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Lesson 6
1. 2(x +3) = 10
433
610
X = 2
Check: 10 10=
![Page 81: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/81.jpg)
Lesson 6
2. 2(x +3) = 9 + x
Set up
933
![Page 82: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/82.jpg)
Lesson 6
2. 2(x +3) = 9 + x
Legal Moves
333
69
X = 3
![Page 83: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/83.jpg)
Lesson 6
2. 2(x +3) = 9 + x
333
69
X = 3
Check: 12 12=
![Page 84: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/84.jpg)
Lesson 6
3. 2(2x +1) = 3x + 8
Set up
X =
811
![Page 85: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/85.jpg)
Lesson 6
3. 2(2x +1) = 3x + 8
Legal Moves
X =
611
28
6
![Page 86: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/86.jpg)
Lesson 6
3. 2(2x +1) = 3x + 8
X =
6 616
6 16
6 6 6 28
6
Check: 26 26=
![Page 87: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/87.jpg)
Lesson 6
4. 2(2x + 3) = x + 9
Set up
X =
933
![Page 88: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/88.jpg)
Lesson 6
4. 2(2x + 3) = x + 9
Legal Moves
X =
333
69
1
![Page 89: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/89.jpg)
Lesson 6
4. 2(2x + 3) = x + 9
X =
333
69
1
Check: 10 10=
![Page 90: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/90.jpg)
![Page 91: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/91.jpg)
Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
![Page 92: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/92.jpg)
![Page 93: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/93.jpg)
![Page 94: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/94.jpg)
Lesson 2
Pawn = xLesson 3
Legal moves pawnsLesson 4
Legal moves #sLesson 5
Set-up subtractionLesson 6parentheses
Lesson 7Symbols only
Lesson 1Trial & Error
![Page 95: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/95.jpg)
![Page 96: Lesson 2 Pawn = x Lesson 3 Legal moves pawns Lesson 4 Legal moves #s Lesson 5 Set-up subtraction Lesson 6 parentheses Lesson 7 Symbols only Lesson 1 Trial](https://reader036.vdocuments.us/reader036/viewer/2022062409/56649ea75503460f94ba97fd/html5/thumbnails/96.jpg)