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 & Error
Equal and Balanced
100 pounds = ? pounds
Materials for Book 1 Eight blue pawns Two red cubes, numbered 0-5 Two red cubes, numbered A laminated balance scale Put the other items back in the bag.
5 X = Check: Lesson 1 What is the value for the blue pawn to balance the scale? =
8 X = Check: Lesson 1 Use trial and error to solve =
8 X = Check: Lesson 1 2 Use trial and error method to solve. 1, 2, 3, etc = The blue pawn has a special name, “x”.
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
9 X = Check: Lesson =
7 X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
X = Check: Lesson =
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 & Error
X = Check: Lesson 2 2 The pawn has a special name, “x.” Therefore, the problem 4 12 = 2x + x = x + 8 8
X = Check: Lesson = 3x + 1 = x
X = Check: Lesson 2 = 1. 2x = x
X = Check: Lesson 2 = 2. 3x = x
X = Check: Lesson 2 = 3. x + 4 = 2x
X = Check: Lesson 2 = 4. 4x = 2x
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 & Error
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?”
Lesson 3 4x + 2 = 3x Legal Moves X =7
Check: Lesson = 4x + 2 = 3x Reset the original equation to check.
Lesson x + 7 = 4x Set up X =
Lesson x + 7 = 4x 7 Legal Moves X =7
Lesson x + 7 = 4x 7 X =7 Check: 28 =
Lesson 3 2. x x = x + 10 Set up X =
Lesson 3 2. x x = x Legal Moves X =4
Lesson 3 2. x x = x X =4 Check: 14 =
Lesson 3 3. x + 3x = x + x + 10 Set up X =
Lesson 3 3. x + 3x = x + x Legal Moves X =5
Lesson 3 3. x + 3x = x + x X =5 Check: 20 =
Lesson x x = x + 11 Set up X =
Lesson x x = x Legal Moves X =2 13
Lesson x x = x X =2 13 Check: 13 =
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 & Error
Lesson 4 1. x + 2x +5 = x + 19 Set up X =
Lesson 4 1. x + 2x +5 = x + 19 Legal Moves X =
Lesson 4 1. x + 2x +5 = x + 19 X = Check: 26 =
Lesson 4 2. x + 2x + 14 = 5x + 2 Set up X =
Lesson 4 2. x + 2x + 14 = 5x + 2 Legal Moves X =
Lesson 4 2. x + 2x + 14 = 5x + 2 X = Check: 32 =
Lesson 4 3. x x = x + 20 Set up X =
Lesson 4 3. x x = x + 20 Legal Moves X =
Lesson 4 3. x x = x + 20 X = Check: 28 =
Lesson 4 4. x x = x + 12 Set up X =5
Lesson 4 4. x x = x + 12 Legal Moves X =5 2210
Lesson 4 4. x x = x + 12 X = Check: 17 =
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 & Error
Lesson x – 2x + 4 = x + 10 Set up X = 104
Lesson x – 2x + 4 = x + 10 Legal Moves X =
Lesson x – 2x + 4 = x + 10 X = Check: 16 =
Lesson 5 2. x + 3x - x = X =10 Check: 30 =
Lesson x x = 2x + 1 Set up X = 183
Lesson x x = 2x + 1 Legal Moves X =
Lesson x x = 2x + 1 X = Check: 21 =
Lesson 5 4. x + 2x - x + 7 = 4x – x + 2 Set up X = 27
Lesson 5 4. x + 2x - x + 7 = 4x – x + 2 Legal Moves X =
Lesson 5 4. x + 2x - x + 7 = 4x – x X = 5 Check: 1715 =
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 & Error
Lesson (x +3) = 10 Set up X = 103 3
Lesson (x +3) = 10 Legal Moves X =
Lesson (x +3) = X = 2 Check: 10 =
Lesson (x +3) = 9 + x Set up 93 3
Lesson (x +3) = 9 + x Legal Moves X = 3
Lesson (x +3) = 9 + x X = 3 Check: 12 =
Lesson (2x +1) = 3x + 8 Set up X = 81 1
Lesson (2x +1) = 3x + 8 Legal Moves X =
Lesson (2x +1) = 3x + 8 X = Check: 26 =
Lesson (2x + 3) = x + 9 Set up X = 93 3
Lesson (2x + 3) = x + 9 Legal Moves X =
Lesson (2x + 3) = x + 9 X = Check: 10 =
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 & Error
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 & Error