Hands-On Equations Level 2

Hands-On EquationsLevel 2

Power Point created by Wendy Appleby

Hands-On Equations

Is Algebra For

Middle School Students

Level IILesson #8 through #16

Solve Such Equations As:

2x + (-x) + 3 = 2(-x) + 15

And

2x – 3(-x) = 20 + x

Lesson 8White pawn is called “star”

and is written as “x”

10 1

2(3x + 1) = 2x + 10

1

X = 2

8

Remember when doing a check you put the answer back in the original problem, not the solved problem.

10 1 12 2 2 2 2 2 2 2

14 = 14

Lesson 9Since x and x are Opposites

If x = 2, evaluate: 2x + x + x + x +5

0

5The

expression is worth 7

Lesson 10Legal Move Making O

3x + x = x + 4

Practice: 2x + x + x = x + 5

4 X = 4, X = -4

Check 8 = 8

X = 5, X = -5

Check 10 = 10

Lesson 11 You can add pawns to the Equation

2x = x + 6

Practice: 3x = x + 4

X = 2, X = -2

check 4 = 4 6

X = 1, X = -1

check 3 = 3

Lesson 12 Zero My Hero

2x = x + 6

Practice: x + 2x + 4 = x

X = 2, X = -2

check 4 = 4 6

X = -1, X = 1

check 1 = 1

Lesson 13Putting it all Together

2x + x + 3 = 2x + 15

Practice: 3x + x + 5 = x + 12

7 8 3 X = 4, X = -4

Check 7 = 7

5

5 210 X = 7, X = -7

Check 19 = 19

7

Lesson 14Adding a Zero When Needed

2

10 2X = 4, X = -4

Check 12 = 12

X = 1, X = -1

Check 17 = 17

2x – x = 12

Practice: x – 3x + 2 = 8 – 2x

8 6

Lesson 15Recognizing a written “(-x)” as x

10 3X = 4, -X = -4

Check 7 = 7

5

X = -1, -X = 1Check 1 = 1

2x + (-x) + 3 = 2(-x) + 15

Practice: 2x - (-x) + 4 = 2(-x) + x

4

2

Lesson 16Pictorial Notation

• Students transfer their hands-on learning with the game pieces to a pictorial notation using paper and pencil.

2x = x + 6x x x

312

6X = 2, X = -2

Check 4 = 4x x

2x + x + 3 = 2x + 15

x x x x x 15xx xxX = 4, X = -4

Check 7 = 7

End of Level 2

Questions