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## Hands-On Equations

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**Hands-On Equations**Power Point created by Wendy Appleby**Hands-On Equations**Is Algebra For Middle School Students**Level ILesson #1 through #7**Solve Such Equations As: 2x + x + x = 2x + 10 And 2(x + 4) + x = x + 16**Lesson 1Solve by Trial and Error**3 3 4 4 Needs to be The same number 8 6 6 6 2 8**Lesson 2Solve by Trial & Error Pawn has a Special Name**“x” 2x + x = x + 8 Students are given their Student Kits Use trial and error to solve Practice: 3x + 1 = x + 7 4 4 4 4 Do Check 12 = 12 8 Do Check 10 = 10 3 3 3 3 1 7**Lesson 3“Legal Move”**Legal Move- A move which leaves a balanced system in balance. 4x + 2 = 3x + 9 x = 7 When doing a check make sure you put the answer into the original problem. 2 9 7 7 7 7 7 7 7 2 9 30 = 30**Lesson 3 Practice**Use original problem for check. 5x + 2 = 2x + 14 2x + x + 4 = 4x + 1 X = 4 check 22 = 22 X = 3 check 13 = 13**Lesson 4Legal Move with # Cube**Legal Move- Subtract the same number-cube value from each side. 2x + 4 = 10 Put answer in original problem and make sure the sides balances. 4 6 4 X = 3 3 3 4 6 4 10 = 10**Lesson 4Using Both Legal Moves**Use original problem for check. 4x + 5 = 2x + 13 Practice: 2x + x + x + 2 = 2x + 10 8 5 5 X = 4 Check 21 = 21 X = 4 Check 18 = 18**Lesson 5Subtraction by the Removal of Pawns**Use original problem for check. 5x – 3x + 2 = x + 5 Practice: 2x + x – x + 1 = x + 9 2 5 3 X = 3 Check 8 = 8 Take three off X = 8 Check 17 = 17**Lesson 6Distributive Property**Use original problem for check. 2(x + 3) = x + 8 Practice: 2(2x + 1) = 18 3 3 8 2 X = 2 Check 10 = 10 Double what’s inside the parenthesis X = 4 Check 18 = 18**Lesson 7Pictorial Representation**• Students transfer their hands-on learning with the game pieces to a pictorial notation using paper and pencil. 4x + 3 = 3x + 9 x x x x x x x Use original problem for check. 6 3 9 X = 6 Check 27 = 27**Lesson 7Pictorial Notation**Use original problem for check. • 2(x + 4) + x = x + 16 X = 4 Check 20 = 20 4 X X 8 4 16 X X**End of Level 1**Questions